Relevant bibliographies by topics / Harmonic oscillators

Academic literature on the topic 'Harmonic oscillators'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Harmonic oscillators"

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Wang, Shijiao, Xiao San Ma, and Mu-Tian Cheng. "Multipartite Entanglement Generation in a Structured Environment." Entropy 22, no. 2 (February 7, 2020): 191. http://dx.doi.org/10.3390/e22020191.

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In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor coupling. With analysis, we can find that the steady multipartite entanglement with different values can be generated after a long-time evolution for different sizes of the quantum system. Under weak coupling between the system and the harmonic oscillator, multipartite entanglement can monotonically increase from zero to a stable value. Under strong coupling, multipartite entanglement generation shows a speed-up increase accompanied by some oscillations as non-Markovian behavior. Our results imply that the strong coupling between the harmonic oscillator and the N additional harmonic oscillators, and the large size of the additional oscillators will enhance non-Markovian dynamics and make it take a very long time for the entanglement to reach a stable value. Meanwhile, the couplings between the additional harmonic oscillators and the decay rate of additional harmonic oscillators have almost no effect on the multipartite entanglement generation. Finally, the entanglement generation of the additional harmonic oscillators is also discussed.
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Dao, Nguyen Van. "Nonlinear oscillators under delay control." Vietnam Journal of Mechanics 21, no. 2 (June 30, 2000): 75–88. http://dx.doi.org/10.15625/0866-7136/9989.

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In this paper, oscillations and stability of nonlinear oscillators with time delay are studied by means of the asymptotic method of nonlinear mechanics. Harmonic, super harmonic, subharmonic and parametric resonances of a Duffing's oscillator are analyzed. Analytical method in combination with a computer is used.
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Zaitsev, Valery V., and Alexander V. Karlov. "Quasi-harmonic self-oscillations in discrete time: analysis and synthesis of dynamic systems." Physics of Wave Processes and Radio Systems 24, no. 4 (January 16, 2022): 19–24. http://dx.doi.org/10.18469/1810-3189.2021.24.4.19-24.

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For sampling of time in a differential equation of movement of Thomson type oscillator (generator) it is offered to use a combination of the numerical method of finite differences and an asymptotic method of the slowl-changing amplitudes. The difference approximations of temporal derivatives are selected so that, first, to save conservatism and natural frequency of the linear circuit of self-oscillatory system in the discrete time. Secondly, coincidence of the difference shortened equation for the complex amplitude of self-oscillations in the discrete time with Eulers approximation of the shortened equation for amplitude of self-oscillations in analog system prototype is required. It is shown that realization of such approach allows to create discrete mapping of the van der Pol oscillator and a number of mappings of Thomson type oscillators. The adequacy of discrete models to analog prototypes is confirmed with also numerical experiment.
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Pingak, Redi Kristian, Albert Zicko Johannes, Minsyahril Bukit, and Zakarias Seba Ngara. "Quantum Anharmonic Oscillators: A Truncated Matrix Approach." POSITRON 11, no. 1 (October 15, 2021): 9. http://dx.doi.org/10.26418/positron.v11i1.44369.

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This study aims at implementing a truncated matrix approach based on harmonic oscillator eigenfunctions to calculate energy eigenvalues of anharmonic oscillators containing quadratic, quartic, sextic, octic, and decic anharmonicities. The accuracy of the matrix method is also tested. Using this method, the wave functions of the anharmonic oscillators were written as a linear combination of some finite number of harmonic oscillator basis states. Results showed that calculation with 100 basis states generated accurate energies of oscillators with relatively small coupling constants, with computation time less than 1 minute. Including more basis states could result in more correct digits. For instance, using 300 harmonic oscillator basis states in a simple Mathematica code in about 8 minutes, highly accurate energies of the oscillators were obtained for relatively small coupling constants, with up to 15 correct digits. Reasonable accuracy was also found for much larger coupling constants with at least three correct digits for some low lying energies of the oscillators reported in this study. Some of our results contained more correct digits than other results reported in the literature.
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Irac-Astaud, Michèle, and Guy Rideau. "Bargmann Representations for Deformed Harmonic Oscillators." Reviews in Mathematical Physics 10, no. 08 (November 1998): 1061–78. http://dx.doi.org/10.1142/s0129055x98000343.

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Generalizing the case of the usual harmonic oscillator, we look for Bargmann representations corresponding to deformed harmonic oscillators. Deformed harmonic oscillator algebras are generated by four operators a, a†, N and the unity 1 such as [a,N]=a,[a†,N]=-a†,a†a=ψ(N) and aa†=ψ(N+1). We discuss the conditions of existence of a scalar product expressed with a true integral on the space spanned by the eigenstates of a (or a†). We give various examples, in particular we consider functions ψ that are linear combinations of qN, q-N and unity and that correspond to q-oscillators with Fock-representations or with non-Fock-representations.
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Kovacic, Ivana, Matthew Cartmell, and Miodrag Zukovic. "Mixed-mode dynamics of certain bistable oscillators: behavioural mapping, approximations for motion and links with van der Pol oscillators." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2184 (December 2015): 20150638. http://dx.doi.org/10.1098/rspa.2015.0638.

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This study is concerned with a new generalized mathematical model for single degree-of-freedom bistable oscillators with harmonic excitation of low-frequency, linear viscous damping and a restoring force that contains a negative linear term and a positive nonlinear term which is a power-form function of the generalized coordinate. Comprehensive numerical mapping of the range of bifurcatory behaviour shows that such non-autonomous systems can experience mixed-mode oscillations, including bursting oscillations (fast flow oscillations around the outer curves of a slow flow), and relaxation oscillations like a classical (autonomous) van der Pol oscillator. After studying the global system dynamics the focus of the investigations is on cubic oscillators of this type. Approximate techniques are presented to quantify their response, i.e. to determine approximations for both the slow and fast flows. In addition, a clear analogy between the behaviour of two archetypical oscillators—the non-autonomous bistable oscillator operating at low frequency and the strongly damped autonomous van der Pol oscillator—is established for the first time.
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Kühn, M. R., and E. M. Biebl. "First harmonic injection locking of 24-GHz-oscillators." Advances in Radio Science 1 (May 5, 2003): 197–200. http://dx.doi.org/10.5194/ars-1-197-2003.

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Abstract. An increasing number of applications is proposed for the 24 GHz ISM-band, like automotive radar systems and short-range communication links. These applications demand for oscillators providing moderate output power of a few mW and moderate frequency stability of about 0.5%. The maximum oscillation frequency of low-cost off-theshelf transistors is too low for stable operation of a fundamental 24GHz oscillator. Thus, we designed a 24 GHz first harmonic oscillator, where the power generated at the fundamental frequency (12 GHz) is reflected resulting in effective generation of output power at the first harmonic. We measured a radiated power from an integrated planar antenna of more than 1mW. Though this oscillator provides superior frequency stability compared to fundamental oscillators, for some applications additional stabilization is required. As a low-cost measure, injection locking can be used to phase lock oscillators that provide sufficient stability in free running mode. Due to our harmonic oscillator concept injection locking has to be achieved at the first harmonic, since only the antenna is accessible for signal injection. We designed, fabricated and characterized a harmonic oscillator using the antenna as a port for injection locking. The locking range was measured versus various parameters. In addition, phase-noise improvement was investigated. A theoretical approach for the mechanism of first harmonic injection locking is presented.
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Dattoli, G., A. Torre, S. Lorenzutta, and G. Maino. "Coupled harmonic oscillators, generalized harmonic-oscillator eigenstates and coherent states." Il Nuovo Cimento B Series 11 111, no. 7 (July 1996): 811–23. http://dx.doi.org/10.1007/bf02749013.

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Cahaya, Adam Badra. "Radial wave function of 2D and 3D quantum harmonic oscillator." Al-Fiziya: Journal of Materials Science, Geophysics, Instrumentation and Theoretical Physics 5, no. 2 (June 4, 2023): 95–100. http://dx.doi.org/10.15408/fiziya.v5i2.26172.

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One dimensional quantum harmonic oscillator is well studied in elementary textbooks of quantum mechanics. The wave function of one-dimensional oscillator harmonic can be written in term of Hermite polynomial. Due to the symmetry of the spring energy, the wave functions of two-dimensional and three-dimensional harmonic oscillators can be written as products of the one-dimensional case. Because of that, the wave functions of two- and three-dimensional cases are focused on cartesian coordinates. In this article, we utilize polar and spherical coordinates to describe the wave function of two- and three-dimensional harmonic oscillators, respectively. The radial part of the wave functions can be written in term of associated Laguerre polynomials.
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Setiawan, Iwan, Mayasari Katrina Hutagalung, Nurhasanah Nurhasanah, and Dedy Hamdani. "Introduction to Quantum Harmonic Oscillator Material Using Discussion Method for Students of SMAN 5 Bengkulu City." DIKDIMAS : Jurnal Pengabdian Kepada Masyarakat 2, no. 1 (April 30, 2023): 165–69. http://dx.doi.org/10.58723/dikdimas.v2i1.94.

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The knowledge of the student about harmonic oscillators is quite limited. The purpose of this PPM is to 1) increase the knowledge of Bengkulu City 5 SMAN students about Quantum Harmonic Oscillators and their application in everyday life 2) improve the skills of Bengkulu City 5 High School students in calculating Quantum Harmonic Oscillators using the fast-forward method to accelerate quantum dynamics adiabatic. PPM was carried out at SMAN 5 Bengkulu City, especially in class 12 IPA 5 on October 24, 2022. The research method was carried out in three stages. The first stage is preparation. The second stage is the presentation of quantum harmonic oscillator material using research instruments in the form of power points, the third stage is research evaluation.
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Dissertations / Theses on the topic "Harmonic oscillators"

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Bartlett, Stephen D., Hubert de Guise, Barry C. Sanders, and Andreas Cap@esi ac at. "Quantum Computation with Harmonic Oscillators." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi962.ps.

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Peidaee, Pantea, and pantea peidaee@rmit edu au. "Strongly Perturbed Harmonic Oscillator." RMIT University. SECE, 2008. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20080804.094824.

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The limits of current micro-scale technology is approaching rapidly. As the technology is going toward nano-scale devices, physical phenomena involved are fundamentally different from micro-scale ones [1], [2]. Principles in classical physics are no longer powerful enough to explicate the phenomena involved in nano-scale devices. At this stage, quantum mechanic sheds some light on those topics which cannot be described by classical physics. The primary focus of this research work is the development of an analysis technique for understanding the behavior of strongly perturbed harmonic oscillators. Developing ``auxiliary'' boundary value problems we solve monomially perturbed harmonic oscillators. Thereby, we assume monomial terms of arbitrary degree and any finite coefficient desired. The corresponding eigenvalues and eigenvectors can be utilized to solve more complex anharmonic oscillators with non polynomial anharmonicity or numerically defined anharmonicity. A large number of numerical calculations demonstrate the robustness and feasibility of our technique. Particular attention has been paid to the details as have implemented the underlying formula. We have developed iterative expressions for the involved integrals and the introduced ``Universal Functions.'' The latter are applications and adaptations of a concept which was developed in 1990's to accelerate computations in the Boundary Element Method.
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Penbegul, Ali Yetkin. "Synchronization Of Linearly And Nonlinearly Coupled Harmonic Oscillators." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613258/index.pdf.

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In this thesis, the synchronization in the arrays of identical and non-identical coupled harmonic oscillators is studied. Both linear and nonlinear coupling is considered. The study consists of two main parts. The first part concentrates on theoretical analysis and the second part contains the simulation results. The first part begins with introducing the harmonic oscillators and the basics of synchronization. Then some theoretical aspects of synchronization of linearly and nonlinearly coupled harmonic oscillators are presented. The theoretical results say that linearly coupled identical harmonic oscillators synchronize for any frequency of oscillation. For nonlinearly coupled identical harmonic oscillators, synchronization is shown to occur at large enough frequency values. In the second part, the simulator and simulation results are presented. A GUI is designed in MATLAB to run the simulations. In the simulations, synchronization of coupled harmonic oscillators are studied according to different coupling strength values, different frequency values, different coupling graph types (e.g. all-to-all, ring, tree) and different coupling function types (e.g. linear, saturation, cubic). The simulation results do not only support the theoretical part of the thesis but also give some idea about the part of the synchronization of coupled harmonic oscillators uncovered by theory.
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Marquart, Chad A. "Sliding-mode amplitude control techniques for harmonic oscillators." Texas A&M University, 2003. http://hdl.handle.net/1969.1/5767.

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This thesis investigates both theoretical and implementation-level aspects of switching- feedback control strategies for the development of voltage-controlled oscillators. We use a modified sliding-mode compensation scheme based on various norms of the system state to achieve amplitude control for wide-tuning range oscillators. The proposed controller provides amplitude control at minimal cost in area and power consumption. Verification of our theory is achieved with the physical realization of an amplitude controlled negative-Gm LC oscillator. A wide-tuning range RF ring oscillator is developed and simulated, showing the effectiveness of our methods for high speed oscillators. The resulting ring oscillator produces an amplitude controlled sinusoidal signal operating at frequencies ranging from 170 MHz to 2.1 GHz. Total harmonic distortion is maintained below 0:8% for an oscillation amplitude of 2 Vpp over the entire tuning range. Phase noise is measured as -105.6 dBc/Hz at 1.135 GHz with a 1 MHz offset.
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Sousa, Antonio C. Torrezan de (Antonio Carlos Torrezan de). "Frequency-tunable second-harmonic submillimeter-wave gyrotron oscillators." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/62463.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 175-185).
This thesis reports the design and experimental demonstration of frequency-tunable submillimeter-wave gyrotrons operating in continuous wave (CW) at the second harmonic of the electron cyclotron frequency. An unprecedented continuous frequency tuning range of more than 1 GHz has been achieved in both a 330- and a 460-GHz gyrotron via magnetic field tuning or voltage tuning. The 330-GHz gyrotron has generated 19 W of power in a cylindrical TE4,3,q mode from a 13-kV 190-mA electron beam. The minimum start current was measured to be 21 mA, where good agreement was verified between the measured start current values and the calculation from linear theory for the first six axial modes, q = 1 through 6. A continuous tuning range of 1.2 GHz with a minimum output power of 1 W has been achieved experimentally via magnetic or beam voltage tuning. The output stability of the gyrotron running under a computerized control system was assessed to be ±0.4% in power and ±3 ppm in frequency during a 110-hour uninterrupted CW test. Evaluation of the gyrotron microwave output beam using a pyroelectric camera indicated a Gaussian-like mode content of 91%. Measurements were also carried out in microsecond pulse operation at a higher beam current (610 mA), yielding a minimum output power of 20 W over a tuning range of 1.2 GHz obtained by means of cyclotron frequency tuning and thermal tuning. The 330-GHz gyrotron will be used as a source for 500 MHz nuclear magnetic resonance (NMR) experiments with sensitivity enhanced by dynamic nuclear polarization (DNP). In addition to the 330-GHz gyrotron, the design and CW operation of a tunable second-harmonic 460-GHz gyrotron are described. The 460-GHz gyrotron operates in the whispering gallery mode TE1 1 ,2 and has generated 16 W of output power with a 13-kV 100-mA electron beam. The start oscillation current measured over a range of magnetic field values is in good agreement with theoretical start currents obtained from linear theory for successive high order axial modes TE1,2,q. The minimum start current is 27 mA. Power and frequency tuning measurements as a function of the electron cyclotron frequency have also been carried out. A smooth frequency tuning range of 1 GHz with a minimum output power of 2 W has been obtained for the operating second-harmonic mode either by magnetic field tuning or beam voltage tuning. Long-term CW operation was evaluated during an uninterrupted period of 48 hours, where the gyrotron output power and frequency were kept stable to within ±0.7% and ±6 ppm, respectively, by a computerized control system. Proper operation of an internal quasi-optical mode converter implemented to transform the operating whispering gallery mode to a Gaussian-like beam was also verified. Based on images of the gyrotron output beam taken with a pyroelectric camera, the Gaussian-like mode content of the output beam was computed to be 92% with an ellipticity of 12%. The 460-GHz gyrotron is intended to be used as a submillimeter-wave source in a 700-MHz DNP/NMR spectrometer.
by Antonio C. Torrezan de Sousa.
Ph.D.
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Venkataraman, Vignesh. "Understanding open quantum systems with coupled harmonic oscillators." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/30715.

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When a quantum system interacts with many other quantum mechanical objects, the behaviour of the system is strongly affected; this is referred to as an open quantum system (OQS). Since the inception of quantum theory the development of OQSs has been synonymous with realistic descriptions of quantum mechanical models. With recent activity in the advancement of quantum technologies, there has been vested interest in manipulating OQSs. Therefore understanding and controlling environmental effects, by structuring environments, has become an important field. The method of choice for tackling OQSs is the master equation approach, which requires approximations and doesn't allow direct assessment of the environment. This thesis tackles the issues of OQSs with an unorthodox method; we employ a series of coupled quantum harmonic oscillators to simulate an OQS. This permits the use of the covariance matrix technique which allows us to avoid approximations and analyse the environment modes. We investigate the Markov approximation and Rotating-Wave approximation (RWA), which are commonly used in the field. By considering four OQS models, we study an entanglement-based non-Markovian behaviour (NMB) quantifier (ENMBQ). The relevance of detuning, coupling strength and bath structures in determining the amount of NMB is noted. A brief study of the factors that affect a fidelity-based NMB quantifier is also conducted. We also analyse the effect on the ENMBQ if the terms excluded by the RWA are included in the models. Finally, an examination of the applicability of the RWA in the presence of strong coupling is undertaken in a three oscillator model. The fidelity-based analysis utilised could allow one to ascertain when and if the RWA can be applied to a model of interest, including OQSs. The knowledge within, and the methodology used throughout this thesis, could arm researchers with insights to control the flow of quantum information in their systems.
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Cheng, Ching-Chuan. "Prediction of snap-through instability under harmonic excitation." Thesis, Virginia Tech, 1990. http://hdl.handle.net/10919/42077.

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Shiri-Garakani, Mohsen. "Finite Quantum Theory of the Harmonic Oscillator." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5078.

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We apply the Segal process of group simplification to the linear harmonic oscillator. The result is a finite quantum theory with three quantum constants instead of the usual one. We compare the classical (CLHO), quantum (QLHO), and finite (FLHO) linear harmonic oscillators and their canonical or unitary groups. The FLHO is isomorphic to a dipole rotator with N=l(l+1) states where l is very large for physically interesting case. The position and momentum variables are quantized with uniform finite spectra. For fixed quantum constants and large N there are three broad classes of FLHO: soft, medium, and hard corresponding respectively to cases where ratio of the of potential energy to kinetic energy in the Hamiltonian is very small, almost equal to one, or very large The field oscillators responsible for infra-red and ultraviolet divergences are soft and hard respectively. Medium oscillators approximate the QLHO. Their low-lying states have nearly the same zero-point energy and level spacing as the QLHO, and nearly obeying the Heisenberg uncertainty principle and the equipartition principle. The corresponding rotators are nearly polarized along the z-axis. The soft and hard FLHO's have infinitesimal 0-point energy and grossly violate equipartition and the Heisenberg uncertainty principle. They do not resemble the QLHO at all. Their low-lying energy states correspond to rotators polaroizd along x-axis or y-axis respectively. Soft oscillators have frozen momentum, because their maximum potential energy is too small to produce one quantum of momentum. Hard oscillators have frozen position, because their maximum kinetic energy is too small to produce one quantum of momentum. Hard oscillators have frozen position, because their maximum kinetic energy is too small to excite one quantum of position.
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Wang, Le. "The design of a low noise VCO with innovative harmonic filtering resistor." Embargo, 2006. http://www.dissertations.wsu.edu/Thesis/Summer2006/l%5Fwang%5F080906.pdf.

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Contreras, Carmen Rosa. "On some physical aspects of the group properties of point transformations of harmonic oscillators." Scholarly Commons, 1991. https://scholarlycommons.pacific.edu/uop_etds/2220.

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The purpose of our work is to study the physical aspects of the application of the Lie group analysis to simple harmonic oscillators and related systems which can or cannot be canonical ones. The mathematical part of the problem has been studied by many authors. Quite recently L. Hubbard, C.Wulfman and H. Rabitz and C. Wulfman and H.Rabitz have developed a method for a group theoretical analysis applicable to a more general class of linear systems of Ordinary Differential Equations (ODE).
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Books on the topic "Harmonic oscillators"

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Moshinsky, Marcos. The Harmonic oscillator in modern physics. Amsterdam, The Netherlands: Harwood Academic Publishers, 1996.

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Rhea, Randall W. Discrete oscillator design: Linear, nonlinear, transient, and noise domains. Boston: Artech House, 2010.

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Dmitrikov, V. F. Vysokoėffektivnye formirovateli garmonicheskikh kolebaniĭ. Moskva: "Radio i svi͡a︡zʹ", 1988.

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Dmitrikov, V. F. Teorii͡a︡ kli͡u︡chevykh formirovateleĭ garmonicheskikh kolebaniĭ. Kiev: Nauk. dumka, 1993.

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Camargo, Edmar. Design of FET frequency multipliers and harmonic oscillators. Boston: Artech House, 1998.

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D, Han, Kim Y. S, Zachary W. W. 1935-, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program, eds. Workshop on harmonic oscillators: Proceedings of a conference held at the University of Maryland, College Park, Maryland, March 25-28, 1992. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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D, Han, Kim Y. S, Zachary W. W. 1935-, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. Workshop on harmonic oscillators: Proceedings of a conference held at the University of Maryland, College Park, Maryland, March 25-28, 1992. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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D, Han, Kim Y. S, Zachary W. W. 1935-, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. Workshop on harmonic oscillators: Proceedings of a conference held at the University of Maryland, College Park, Maryland, March 25-28, 1992. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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Parmeggiani, Alberto. Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11922-4.

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service), SpringerLink (Online, ed. Spectral theory of non-commutative harmonic oscillators: An introduction. Heidelberg: Springer, 2010.

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Book chapters on the topic "Harmonic oscillators"

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Garrett, Steven L. "The Simple Harmonic Oscillator." In Understanding Acoustics, 59–131. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_2.

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Abstract This chapter will introduce a system that is fundamental to our understanding of more physical phenomena than any other. Although the “simple” harmonic oscillator seems to be only the combination of the most mundane components, the formalism developed to explain the behavior of a mass, spring, and damper is used to describe systems that range in size from atoms to oceans. Our investigation goes beyond the “traditional” treatments found in the elementary physics textbooks. For example, the introduction of damping will open a two-way street: a damping element (i.e., a mechanical resistance, Rm) will dissipate the oscillator’s energy, reducing the amplitudes of successive oscillations, but it will also connect the oscillator to the surrounding environment that will return thermal energy to the oscillator. The excitation of a harmonic oscillator by an externally applied force, displacement, or combination of the two will result in a response that is critically dependent upon the relationship between the frequency of excitation and the natural frequency of the oscillator and will introduce the critical concepts of mechanical impedance, resonance, and quality factor. Finally, the harmonic oscillator model will be extended to coupled oscillators that are represented by combinations of several masses and several springs.
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Knudsen, Jens M., and Poul G. Hjorth. "Harmonic Oscillators." In Advanced Texts in Physics, 389–409. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-57234-0_15.

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Knudsen, Jens M., and Poul G. Hjorth. "Harmonic Oscillators." In Elements of Newtonian Mechanics, 373–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97599-8_15.

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Knudsen, Jens Martin, and Poul Georg Hjorth. "Harmonic Oscillators." In Elements of Newtonian Mechanics, 373–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-97673-5_15.

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Schwinger, Julian. "Harmonic Oscillators." In Quantum Mechanics, 269–302. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04589-3_8.

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Xiang, Tao. "Harmonic Oscillators." In Building Blocks of Quantum Mechanics, 69–86. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003174882-4.

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Hussar, Paul E. "Valons and harmonic oscillators." In Special Relativity and Quantum Theory, 317–19. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-3051-3_28.

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Ochiai, Hiroyuki. "Non-commutative Harmonic Oscillators." In Symmetries, Integrable Systems and Representations, 483–90. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4863-0_19.

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Yuan, Fei. "Injection-Locking of Harmonic Oscillators." In Injection-Locking in Mixed-Mode Signal Processing, 25–91. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17364-7_2.

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Dick, Rainer. "Harmonic Oscillators and Coherent States." In Graduate Texts in Physics, 103–20. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-25675-7_6.

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Conference papers on the topic "Harmonic oscillators"

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DUBOIS, DANIEL M. "Hyperincursive Algorithms of Classical Harmonic Oscillator Applied to Quantum Harmonic Oscillator Separable Into Incursive Oscillators." In Unified Field Mechanics: Natural Science Beyond the Veil of Spacetime. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814719063_0005.

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Li, Qingdu, and Xiao-song Yang. "Chaotify Wien-bridge Harmonic Oscillators." In 2006 International Conference on Communications, Circuits and Systems. IEEE, 2006. http://dx.doi.org/10.1109/icccas.2006.285151.

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Georgiou, Ioannis T., and Ira B. Schwartz. "Decoupling the Free Axial-Transverse Motions of a Nonlinear Plate: An Invariant Manifold Approach." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0320.

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Abstract We approximate the nonlinearly coupled transverse-axial motions of an isotropic elastic plate with three nonlinearly coupled fundamental oscillators, and show that transverse motions can be decoupled from in-plane motions. We demonstrate this decoupling by showing analytically and numerically the existence of a global two-dimensional nonlinear invariant manifold. The invariant manifold carries a continuum of slow, periodic motions. In particular, for any motion on the slow invariant manifold, the transverse oscillator executes a periodic motion and it slaves the in-plane oscillators into periodic motions of half its period. The spectrum of the in-plane slaved motions consists of two distinct harmonics with frequencies twice and quadruple than that of the dominant harmonic of the transverse motion. Furthermore, as the energy level of motion on the slow manifold increases the frequency of the largest harmonic of the in-plane motions approaches the in-plane natural frequencies. This causes the in-plane oscillators to oscillate in pure compression.
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Chaohong Cai and S. Emre Tuna. "Synchronization of nonlinearly coupled harmonic oscillators." In 2010 American Control Conference (ACC 2010). IEEE, 2010. http://dx.doi.org/10.1109/acc.2010.5531474.

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Mickens, Ronald E. "Generalized Harmonic Oscillators: Velocity Dependent Frequencies." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21417.

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Abstract Preliminary results are given on a new class of nonlinear oscillator equations that generalize those of the usual linear harmonic case. These equations take the form ẋ = f(x)y and ẏ = −g(y)x, where f(x) and g(y) are continuous with first derivatives, and f(0) > 0, g(0) > 0. Of interest is the fact that these equations have a first-integral, i.e., there exists a function H(x,y) such that along a particular trajectory in the (x,y) phase space, H(x,y) = constant. We work out several general results related to this system of equations and illustrate them with several special cases that correspond to models of physical systems. The work reported here was supported in part by research grants from DOE and the MBRS-SCORE Program at Clark Atlanta University.
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Mesgarzadeh, Behzad, and Atila Alvandpour. "First-Harmonic Injection-Locked Ring Oscillators." In Proceedings of the IEEE 2006 Custom Integrated Circuits Conference. IEEE, 2006. http://dx.doi.org/10.1109/cicc.2006.320927.

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Rodrigues, Caique C., Caue M. Kersul, Michal Lipson, Thiago P. M. Alegre, and Gustavo S. Wiederhecker. "High-Harmonic Synchronization of Optomechanical Oscillators." In CLEO: Applications and Technology. Washington, D.C.: OSA, 2020. http://dx.doi.org/10.1364/cleo_at.2020.jw2b.27.

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Vanassche, P., G. Gielen, and W. Sansen. "Behavioral modeling of (coupled) harmonic oscillators." In Proceedings of 39th Design Automation Conference. IEEE, 2002. http://dx.doi.org/10.1109/dac.2002.1012683.

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Vanassche, Piet, Georges Gielen, and Willy Sansen. "Behavioral modeling of (coupled) harmonic oscillators." In the 39th conference. New York, New York, USA: ACM Press, 2002. http://dx.doi.org/10.1145/513918.514054.

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Kim, Y. S. "Harmonic Oscillators as Bridges between Theories." In ISIS INTERNATIONAL SYMPOSIUM ON INTERDISCIPLINARY SCIENCE. AIP, 2005. http://dx.doi.org/10.1063/1.1900392.

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Reports on the topic "Harmonic oscillators"

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Michelotti, Leo. Making space for harmonic oscillators. Office of Scientific and Technical Information (OSTI), November 2004. http://dx.doi.org/10.2172/15017029.

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Yeon, Kyu-Hwang, Chung-In Um, Woo-Hyung Kahng, and Thomas F. George. Propagators for Driven Coupled Harmonic Oscillators. Fort Belvoir, VA: Defense Technical Information Center, September 1988. http://dx.doi.org/10.21236/ada199418.

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Granatstein, Victor L., and Robert J. Barker. Harmonic Gyrotron Amplifiers and Phase-Locked Oscillators. Fort Belvoir, VA: Defense Technical Information Center, December 1994. http://dx.doi.org/10.21236/ada293185.

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Maidanik, G. Loss Factors of a Complex Composed of a Number of Coupled Harmonic Oscillators. Fort Belvoir, VA: Defense Technical Information Center, February 1997. http://dx.doi.org/10.21236/ada325092.

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Tang, J. Non-Markovian quantum Brownian motion of a harmonic oscillator. Office of Scientific and Technical Information (OSTI), February 1994. http://dx.doi.org/10.2172/10118416.

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Mickens, Ronald, and Kale Oyedeji. Dominant Balance Analysis of the Fractional Power Damped Harmonic Oscillator. Atlanta University Center Robert W. Woodruff Library, 2019. http://dx.doi.org/10.22595/cau.ir:2020_mickens_oyedeji_harmonic_oscillator.

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Yeon, Kyu H., Thomas F. George, and Chung I. Um. Exact Solution of a Quantum Forced Time-Dependent Harmonic Oscillator. Fort Belvoir, VA: Defense Technical Information Center, June 1991. http://dx.doi.org/10.21236/ada236633.

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Menikoff, Ralph. Molecular Solid EOS based on Quasi-Harmonic Oscillator approximation for phonons. Office of Scientific and Technical Information (OSTI), September 2014. http://dx.doi.org/10.2172/1159050.

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Oh, H. G., H. R. Lee, Thomas F. George, and C. I. Um. Exact Wave Functions and Coherent States of a Damped Driven Harmonic Oscillator. Fort Belvoir, VA: Defense Technical Information Center, February 1989. http://dx.doi.org/10.21236/ada205785.

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Takada, Yasutami. Time-Independent Variational Approach to Inelastic Collisions of a Particle with a Harmonic Oscillator. Fort Belvoir, VA: Defense Technical Information Center, August 1988. http://dx.doi.org/10.21236/ada197695.

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