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Journal articles on the topic 'Hybrid dimensional systems'

Author: Grafiati

Published: 6 September 2023

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1

Asarin, Eugene, Venkatesh P. Mysore, Amir Pnueli, and Gerardo Schneider. "Low dimensional hybrid systems – decidable, undecidable, donʼt know." Information and Computation 211 (February 2012): 138–59. http://dx.doi.org/10.1016/j.ic.2011.11.006.

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2

Alves, Maria Salom´e Manuelevna, and Manuel Joaquim Alves. "ON STABILIZATION OF DIFFERENTIAL SYSTEMS WITH HYBRID FEEDBACK CONTROL." Tambov University Reports. Series: Natural and Technical Sciences, no. 123 (2018): 331–52. http://dx.doi.org/10.20310/1810-0198-2018-23-123-331-352.

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In this paper two-dimensional systems of differential equations are considered together with their stabilization by a hybrid feedback control. A stabilizing hybrid control for an arbitrary controlled system that belongs to a certain category within two-dimensional systems is constructed as a result of this study and some stabilization proprieties of the system with the obtained hybrid control are presented.

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3

Dick, R. "Fermions in low-dimensional systems and the transition between bulk and surface properties." Canadian Journal of Physics 86, no. 4 (April 1, 2008): 601–10. http://dx.doi.org/10.1139/p07-156.

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We discuss three formalisms for the description of Fermions in low-dimensional systems. Then we consider dimensionally hybrid Hamiltonians with mixed three-dimensional and two-dimensional kinetic terms. These Hamiltonians yield particular dimensionally hybrid Green’s functions with interesting prospects for the description of the transition between two-dimensional and three-dimensional behavior of particles in the presence of attractive interface potentials.PACS Nos.: 05.30.Fk, 71.10.Pm, 73.20.–r

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4

Perez de Lara, David. "Hybrid Superconducting/Magnetic Multifunctional Devices in Two-Dimensional Systems." Physchem 2, no. 4 (November 25, 2022): 347–56. http://dx.doi.org/10.3390/physchem2040025.

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The emergence of unexpected properties in two-dimensional materials, interfaces, and nanostructured materials opens an exciting framework for exploring new devices and applications. Recent advances in materials design and the nano structurization of novel, low-dimensional materials, surfaces, and interfaces offer a novel playground to design efficient multifunctional materials-based devices. Low-dimensional materials exhibit peculiarities in their electronic, magnetic, and optical properties, changing with respect to the bulk when they are layered down to a single layer, in addition to their high tunability. Their crystal structure and chemical bonds lead to inherent unique mechanical properties. The fabrication of van der Waals heterostructures by stacking materials with different properties, the better control of interfaces, and the tunability of the physical properties by mechanical strain, and chemical and electronic doping allow for the exploration of multifunctional devices with superconducting, magnetic, and optical properties and unprecedented degrees of freedom in terms of fabrication and tunability.

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5

Zawadzki, W. "Hybrid magneto-electric quantisation in quasi-two-dimensional systems." Semiconductor Science and Technology 2, no. 8 (August 1, 1987): 550–53. http://dx.doi.org/10.1088/0268-1242/2/8/014.

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6

Silva, F. W. N., E. Cruz-Silva, M. Terrones, H. Terrones, Vincent Meunier, and E. B. Barros. "Spin dependent transport in hybrid one dimensional BNC systems." Semiconductor Science and Technology 34, no. 1 (November 26, 2018): 015004. http://dx.doi.org/10.1088/1361-6641/aaeefb.

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7

Merkt, Ulrich. "Hybrid semiconductor/metal nanostructures with two-dimensional electron systems." Superlattices and Microstructures 33, no. 5-6 (May 2003): 357–67. http://dx.doi.org/10.1016/j.spmi.2004.02.010.

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8

Yang, Zhe, Xuerong Mao, and Chenggui Yuan. "Comparison theorem of one-dimensional stochastic hybrid delay systems." Systems & Control Letters 57, no. 1 (January 2008): 56–63. http://dx.doi.org/10.1016/j.sysconle.2007.06.014.

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9

HOMER, M. E., and S. J. HOGAN. "IMPACT DYNAMICS OF LARGE DIMENSIONAL SYSTEMS." International Journal of Bifurcation and Chaos 17, no. 02 (February 2007): 561–73. http://dx.doi.org/10.1142/s0218127407017422.

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In this paper we present a model of impact dynamics in large dimensional systems. We describe a hybrid method, based on graph theory and probability theory, which enables us qualitatively to model the statistics of global dynamics as parameters are varied. Direct numerical simulation reveals a sudden jump from no impacts within the system to many repeated impacts at a critical value of system parameters. We show that a simple model of the most likely number of impacts also possesses a sudden jump and provides good agreement with the numerical results for large impact probability. A refinement of this model improves the agreement at lower impact probability values.

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10

Yadav, Vaibhav, and Sharif Rahman. "A hybrid polynomial dimensional decomposition for uncertainty quantification of high-dimensional complex systems." Probabilistic Engineering Mechanics 38 (October 2014): 22–34. http://dx.doi.org/10.1016/j.probengmech.2014.08.004.

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11

Hussein, Abdirahman Abdikarim, and Didem Kıvanç Türeli. "Hybrid Beamforming for Multi User Massive MIMO Systems." Orclever Proceedings of Research and Development 2, no. 1 (March 28, 2023): 50–58. http://dx.doi.org/10.56038/oprd.v2i1.246.

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The increasing demand in wireless communications for enhanced spectral efficiency (SE) and throughput makes massive multiple input multiple output (MIMO) a great choice for meeting those demands by using a vast set of antennas. Despite the advantages of massive MIMO, to implement such systems comes with a huge price tag and consumes a lot of power. Hybrid beamforming (HBF) architecture has drawn considerable attention in the past few years, by significantly decreasing the amount of employed radio frequency (RF) chains and combining high dimensional analog beamforming (ABF) using phase shifters (PS) together with low dimensional digital beamforming (DBF). However, because of the extreme energy consumption and hardware complexity, traditional precoding designs are difficult to implement. In this paper, two HBF techniques are proposed to address the above issue. (i) low complexity precoding known as phased zero forcing (PZF) precoding, which controls phase only in the RF domain (ii) singular value decomposition (SVD) based optimal unconstrained precoding, that can be implemented on inexpensive RF components.

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12

Wojnarowski, J. "Application of Graphs in the Analysis of Vibrating 3-Dimensional Systems." International Journal of Applied Mechanics and Engineering 21, no. 3 (August 1, 2016): 761–66. http://dx.doi.org/10.1515/ijame-2016-0045.

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Abstract Vibrating 3-dimensional mechanical systems are described by hybrid graphs. By dividing the hybrid graph into a tree and associated co-tree it is possible to describe in terms of matrices: across-flow-variables, stiffness and flexibility. The application of the formalism of graphs makes it possible to analyze mechanical systems in terms of dynamic characteristic and trajectory motion of determinate points.

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13

Ruether, Myles, Clinton A. Potts, John P. Davis, and Lindsay J. LeBlanc. "Polymer-loaded three dimensional microwave cavities for hybrid quantum systems." Journal of Physics Communications 5, no. 12 (December 1, 2021): 121001. http://dx.doi.org/10.1088/2399-6528/ac3cff.

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Abstract Microwave cavity resonators are crucial components of many quantum technologies and are a promising platform for hybrid quantum systems, as their open architecture enables the integration of multiple subsystems inside the cavity volume. To suspend these subsystems within the centre of a cavity where field strengths are strong and uniform, auxiliary support structures are often required, but the effects of these structures on the microwave cavity mode are difficult to predict due to a lack of a priori knowledge of the materials’ response in the microwave regime. Understanding these effects becomes even more important when frequency matching is critical and tuning is limited, for example, when matching microwave modes to atomic resonances for atomic vapour cells inside enclosed microwave cavities. Here, we study the microwave cavity mode in the presence of three commonly-used machinable polymers, paying particular attention to the change in resonance and the dissipation of energy. We demonstrate how to use the derived dielectric coefficient for cavity design in a test case, wherein we match a polymer-filled 3D microwave cavity to a hyperfine transition in rubidium.

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14

Wang Xudong, 王旭东, 刘莹 Liu Ying, 吴楠 Wu Nan, and 林彬 Lin Bin. "Hybrid Multi-Dimensional CAP-MPPM Modulation Scheme for VLC Systems." Chinese Journal of Lasers 47, no. 6 (2020): 0606004. http://dx.doi.org/10.3788/cjl202047.0606004.

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15

Benassi, Carlo, and Andrea Gavioli. "Hybrid stabilization of planar linear systems with one-dimensional outputs." Systems & Control Letters 46, no. 5 (August 2002): 303–9. http://dx.doi.org/10.1016/s0167-6911(02)00126-3.

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16

Leng, Hong-Ze, and Jun-Qiang Song. "Hybrid three-dimensional variation and particle filtering for nonlinear systems." Chinese Physics B 22, no. 3 (March 2013): 030505. http://dx.doi.org/10.1088/1674-1056/22/3/030505.

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17

Akulenko, L. D., and A. A. Gavrikov. "Controlling the One-Dimensional Motion of Hybrid Vibrational Rod Systems." Journal of Computer and Systems Sciences International 57, no. 3 (May 2018): 349–57. http://dx.doi.org/10.1134/s1064230718020028.

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18

Cano, Kiana, and Carla Sharp. "A Consumer Perspective on Personality Diagnostic Systems: One Size Does Not Fit All." Journal of Personality Disorders 37, no. 3 (June 2023): 263–84. http://dx.doi.org/10.1521/pedi.2023.37.3.263.

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Although providers and patients may largely agree on what is essential to clinically useful assessment and diagnosis, patients have a unique voice and contribute additional information to our conceptualization of clinical utility. The current study evaluated the clinical utility of three diagnostic models (Section II categorial, Section III hybrid, and the original ICD-11 dimensional) from the consumer/user perspective. Participants included 703 undergraduate students and 154 family members or individuals with borderline personality disorder. Participants rated mock diagnostic reports on six indices of clinical utility. Results indicated that undergraduates favored categorical reports over the original ICD-11 dimensional reports on three of six indices but rated categorical and hybrid reports as essentially equivalent. In the patient/family sample, participants favored the hybrid or categorical model on all indices. Our findings speak to the value of a clear diagnostic label and suggest that future iterations of the DSM adopting a hybrid or dimensional model should have a continued focus on simplicity in communication.

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19

Osborn, Joseph, Brian Lambrigger, and Michael Mateas. "HyPED: Modeling and Analyzing Action Games as Hybrid Systems." Proceedings of the AAAI Conference on Artificial Intelligence and Interactive Digital Entertainment 13, no. 1 (June 25, 2021): 87–93. http://dx.doi.org/10.1609/aiide.v13i1.12937.

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Platformers and action-adventure games have high-dimensional state spaces with difficult, non-linear constraints on character movement; even worse, game environments often respond to the player in complex ways that can cause exponential expansion of the planning search space. Planning problems in these high-dimensional spaces generally require domain-specific knowledge and manually abstracted models of game rules to replicate the intuition of human designers or playtesters. In this work, we outline a system for modeling these complex games at a precise and low level in terms of hybrid automata. With this representation, standard incremental search algorithms can be used to answer reachable-region queries, taking advantage of the domain information embedded in the system.

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20

Ke, Kai, Zhen Sang, and Ica Manas‐Zloczower. "Hybrid systems of three‐dimensional carbon nanostructures with low dimensional fillers for piezoresistive sensors." Polymer Composites 41, no. 2 (September 13, 2019): 468–77. http://dx.doi.org/10.1002/pc.25380.

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21

Kibis, O. V., M. V. Boev, and V. M. Kovalev. "Light-induced electron pairing in two-dimensional systems." Journal of Physics: Conference Series 2015, no. 1 (November 1, 2021): 012062. http://dx.doi.org/10.1088/1742-6596/2015/1/012062.

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Abstract The mechanism of electron pairing induced by a circularly polarized off-resonant electromagnetic field is suggested and examined theoretically for various two-dimensional (2D) nanostructures. Particularly, it is demonstrated that such a pairing can exist in 2D systems containing charge carriers with different effective masses. As a result of the pairing, the optically induced hybrid Bose-Fermy system appears. The elementary excitation in the system are analyzed and the possible Bose-Einstein condensation of the paired electrons and the related light-induced superconductivity are discussed.

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22

Kaptagai, G. A., B. M. Satanova, F. U. Abuova, N. O. Koilyk, A. U. Abuova, S. A. Nurkenov, and A. P. Zharkymbekova. "OPTICAL PROPERTIES OF LOW-DIMENSIONAL SYSTEMS: METHODS OF THEORETICAL STUDY OF 2D MATERIALS." NNC RK Bulletin, no. 4 (December 31, 2022): 35–40. http://dx.doi.org/10.52676/1729-7885-2022-4-35-40.

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Heterostructures based on graphene and two-dimensional films of nanostructured, ferromagnetic, transition metal oxides are promising for the development of new multifunctional materials for memory cells, quantum computer elements, Li-battery anodes, (photo) catalysts, supercapacitors, transistors, sensor materials, solar panels, fuel cells, electrochromic devices. A large volume of publications devoted to graphene and heterostructures based on it is and mainly their synthesis processes of hybrid structures. The methods of theoretical investigation of the optical properties of two-dimensional film materials, despite their diversity, require improvement. Consequently, the article presents methods of theoretical investigation of the optical properties of two-dimensional hybrid film structures in combination with ab-initio method.

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23

Yang, Cheng-Yu, Xue-Song Cai, Yong Yuan, and Yuan-Chi Ma. "Hybrid Simulation of Soil Station System Response to Two-Dimensional Earthquake Excitation." Sustainability 11, no. 9 (May 5, 2019): 2582. http://dx.doi.org/10.3390/su11092582.

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Soil station system seismic issues have been highly valued in recent years. In order to investigate the dynamic seismic behaviors of the intermediate column in soil station systems, a hybrid test of a soil station system was conducted. The soil station model was performed with OpenSees. Virtual hybrid simulation was fulfilled with adapter elements. A hybrid model, composed of the steel column specimen and the remainder numerical model, was assembled using the OpenFresco framework. An intermediate column was treated as the physical substructure, while the rest of the soil station system was treated as the numerical substructure in a hybrid simulation. The hybrid test results are compared with the analytical results. The data obtained from such tests show that the system can accurately reflect the mechanical properties of intermediate columns in soil station systems. A hybrid simulation would be a proper way to assess the seismic performance of a soil station system.

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24

LIU, ZENGRONG, and K. W. CHUNG. "HYBRID CONTROL OF BIFURCATION IN CONTINUOUS NONLINEAR DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 15, no. 12 (December 2005): 3895–903. http://dx.doi.org/10.1142/s0218127405014374.

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In this paper, a new hybrid control strategy is proposed, in which state feedback and parameter perturbation are used to control the bifurcations of continuous dynamical systems. The hybrid control can be applied to any component of a several dimensional dynamical system and is still effective even when the system becomes chaotic. Our results show that various bifurcations, such as Hopf bifurcation and Poincaré bifurcation, can be controlled by means of this method.

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25

HEWETT, T. H., and F. V. KUSMARTSEV. "EXTRAORDINARY MAGNETORESISTANCE IN HYBRID SEMICONDUCTOR-METAL SYSTEMS." International Journal of Modern Physics B 23, no. 20n21 (August 20, 2009): 4158–69. http://dx.doi.org/10.1142/s0217979209063341.

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We show that extraordinary magnetoresistance (EMR) arises in systems consisting of two components; a semiconducting ring with a metallic inclusion embedded. The important aspect of this discovery is that the system must have a quasi-two-dimensional character. Using the same materials and geometries for the samples as in experiments by Solin et al.1,2, we show that such systems indeed exhibit a huge magnetoresistance. The magnetoresistance arises due to the switching of electrical current paths passing through the metallic inclusion. Diagrams illustrating the flow of the current density within the samples are utilised in discussion of the mechanism responsible for the magnetoresistance effect. Extensions are then suggested which may be applicable to the silver chalcogenides. Our theory offers an excellent description and explanation of experiments where a huge magnetoresistance has been discovered2,3.

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26

Liu, Tairan, and Javad Mohammadpour Velni. "Multi-Agent Systems Coverage Control in Mixed-Dimensional and Hybrid Environments." IFAC-PapersOnLine 54, no. 20 (2021): 765–70. http://dx.doi.org/10.1016/j.ifacol.2021.11.264.

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27

Koppens, F. H. L., T. Mueller, Ph Avouris, A. C. Ferrari, M. S. Vitiello, and M. Polini. "Photodetectors based on graphene, other two-dimensional materials and hybrid systems." Nature Nanotechnology 9, no. 10 (October 2014): 780–93. http://dx.doi.org/10.1038/nnano.2014.215.

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28

Diaz, Javier, Marco Pinna, Andrei V. Zvelindovsky, and Ignacio Pagonabarraga. "Large scale three dimensional simulations of hybrid block copolymer/nanoparticle systems." Soft Matter 15, no. 45 (2019): 9325–35. http://dx.doi.org/10.1039/c9sm01760g.

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29

Tzorakoleftherakis, Emmanouil, Alex Ansari, Andrew Wilson, Jarvis Schultz, and Todd D. Murphey. "Model-Based Reactive Control for Hybrid and High-Dimensional Robotic Systems." IEEE Robotics and Automation Letters 1, no. 1 (January 2016): 431–38. http://dx.doi.org/10.1109/lra.2016.2522078.

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30

Huan, Songmei, Qingdu Li, and Xiao-Song Yang. "Chaos in three-dimensional hybrid systems and design of chaos generators." Nonlinear Dynamics 69, no. 4 (March 29, 2012): 1915–27. http://dx.doi.org/10.1007/s11071-012-0396-0.

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31

Netzer, Falko P., Francesco Allegretti, and Svetlozar Surnev. "Low-dimensional oxide nanostructures on metals: Hybrid systems with novel properties." Journal of Vacuum Science & Technology B, Nanotechnology and Microelectronics: Materials, Processing, Measurement, and Phenomena 28, no. 1 (January 2010): 1–16. http://dx.doi.org/10.1116/1.3268503.

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32

Ismail, Amr, Mostafa Herajy, Elsayed Atlam, and Monika Heiner. "A Graphical Approach for Hybrid Simulation of 3D Diffusion Bio-Models via Coloured Hybrid Petri Nets." Modelling and Simulation in Engineering 2020 (July 30, 2020): 1–14. http://dx.doi.org/10.1155/2020/4715172.

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Three-dimensional modelling of biological systems is imperative to study the behaviour of dynamic systems that require the analysis of how their components interact in space. However, there are only a few formal tools that offer a convenient modelling of such systems. The traditional approach to construct and simulate 3D models is to build a system of partial differential equations (PDEs). Although this approach may be computationally efficient and has been employed by many researchers over the years, it is not always intuitive since it does not provide a visual depiction of the modelled systems. Indeed, a visual modelling can help to conceive a mental image which eventually contributes to the understanding of the problem under study. Coloured Hybrid Petri Nets (HPNC) are a high-level representation of classical Petri nets that offer hybrid as well as spatial modelling of biological systems. In addition to their graphical representations, HPNC models are also scalable. This paper shows how HPNC can be used to construct and simulate systems that require three-dimensional as well as hybrid (stochastic/continuous) modelling. We use calcium diffusion in three dimensions to illustrate our main ideas. More specifically, we show that creating 3D models using HPNC can yield more flexible models as the structure can be easily scaled up and down by just modifying a few parameters. This advantage of convenient model configuration facilitates the design of different experiments without the need to alter the model structure.

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33

Shaohong Zhang, Hau-San Wong, Zhiwen Yu, and Horace H. S. Ip. "Hybrid Associative Retrieval of Three-Dimensional Models." IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 40, no. 6 (December 2010): 1582–95. http://dx.doi.org/10.1109/tsmcb.2010.2043671.

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34

Matsumura, Soko, Edward W. Thommes, Sourav Chatterjee, and Frederic A. Rasio. "Evolution of planetary systems in dissipating gas disks." Proceedings of the International Astronomical Union 6, S276 (October 2010): 504–5. http://dx.doi.org/10.1017/s1743921311020989.

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AbstractIn a recently published paper Matsumura et al. (2010) (hereafter M10), we have studied the evolution of three-planet systems in dissipating gas disks by using a hybrid N-body and one-dimensional gas disk evolution code. In this article, we highlight some results which are only briefly mentioned in M10.

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35

Maity, Samir, Arindam Roy, and Manoranjan Maiti. "An intelligent hybrid algorithm for 4- dimensional TSP." Journal of Industrial Information Integration 5 (March 2017): 39–50. http://dx.doi.org/10.1016/j.jii.2017.02.001.

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36

Mann, Garrett W., and Inseok Hwang. "Four-Dimensional Aircraft Taxiway Conformance Monitoring with Constrained Stochastic Linear Hybrid Systems." Journal of Guidance, Control, and Dynamics 35, no. 5 (September 2012): 1593–604. http://dx.doi.org/10.2514/1.54438.

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37

Djerdj, I., J. Popović, J. Stare, G. Ambrožič, S. Škapin, B. Kozlevčar, D. Pajić, Z. Jagličić, and Z. Crnjak Orel. "Novel hybrid inorganic–organic one-dimensional chain systems tailored with monocarboxylic acids." Acta Crystallographica Section A Foundations of Crystallography 68, a1 (August 7, 2012): s226. http://dx.doi.org/10.1107/s010876731209561x.

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38

Gallouët, Thierry, Jean-Marc Hérard, and Nicolas Seguin. "A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems." ESAIM: Mathematical Modelling and Numerical Analysis 36, no. 6 (November 2002): 1133–59. http://dx.doi.org/10.1051/m2an:2003009.

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39

Qin, S. Joe, and Yining Dong. "Hybrid Latent Variable Modeling of High Dimensional Time Series Data." IFAC-PapersOnLine 51, no. 15 (2018): 563–68. http://dx.doi.org/10.1016/j.ifacol.2018.09.215.

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40

Nakariyakul, Songyot. "High-dimensional hybrid feature selection using interaction information-guided search." Knowledge-Based Systems 145 (April 2018): 59–66. http://dx.doi.org/10.1016/j.knosys.2018.01.002.

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41

El-Kady, Maher F., Melanie Ihns, Mengping Li, Jee Youn Hwang, Mir F. Mousavi, Lindsay Chaney, Andrew T. Lech, and Richard B. Kaner. "Engineering three-dimensional hybrid supercapacitors and microsupercapacitors for high-performance integrated energy storage." Proceedings of the National Academy of Sciences 112, no. 14 (March 23, 2015): 4233–38. http://dx.doi.org/10.1073/pnas.1420398112.

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Supercapacitors now play an important role in the progress of hybrid and electric vehicles, consumer electronics, and military and space applications. There is a growing demand in developing hybrid supercapacitor systems to overcome the energy density limitations of the current generation of carbon-based supercapacitors. Here, we demonstrate 3D high-performance hybrid supercapacitors and microsupercapacitors based on graphene and MnO2 by rationally designing the electrode microstructure and combining active materials with electrolytes that operate at high voltages. This results in hybrid electrodes with ultrahigh volumetric capacitance of over 1,100 F/cm3. This corresponds to a specific capacitance of the constituent MnO2 of 1,145 F/g, which is close to the theoretical value of 1,380 F/g. The energy density of the full device varies between 22 and 42 Wh/l depending on the device configuration, which is superior to those of commercially available double-layer supercapacitors, pseudocapacitors, lithium-ion capacitors, and hybrid supercapacitors tested under the same conditions and is comparable to that of lead acid batteries. These hybrid supercapacitors use aqueous electrolytes and are assembled in air without the need for expensive “dry rooms” required for building today’s supercapacitors. Furthermore, we demonstrate a simple technique for the fabrication of supercapacitor arrays for high-voltage applications. These arrays can be integrated with solar cells for efficient energy harvesting and storage systems.

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42

Iqbal, Muhammad Zahir, and Ghulam Hussain. "Electron spin dynamics in vertical magnetic junctions incorporating two-dimensional layered materials." Journal of Materials Chemistry C 5, no. 43 (2017): 11174–84. http://dx.doi.org/10.1039/c7tc01933e.

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43

ZHANG, GUOFENG, GUANRONG CHEN, TONGWEN CHEN, and MARÌA BELÉN D'AMICO. "DYNAMICAL ANALYSIS OF A NETWORKED CONTROL SYSTEM." International Journal of Bifurcation and Chaos 17, no. 01 (January 2007): 61–83. http://dx.doi.org/10.1142/s0218127407017173.

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A new network data transmission strategy was proposed in [Zhang & Chen, 2005], where the resulting nonlinear system was analyzed and the effectiveness of the transmission strategy was demonstrated via simulations. In this paper, we further generalize the results of Zhang and Chen [2005] in the following ways: (1) Construct first-return maps of the nonlinear systems formulated in [Zhang & Chen, 2005] and derive several existence conditions of periodic orbits and study their properties. (2) Formulate the new system as a hybrid system, which will ease the succeeding analysis. (3) Prove that this type of hybrid systems is not structurally stable based on phase transition which can be applied to higher-dimensional cases effortlessly. (4) Simulate a higher-dimensional model with emphasis on their rich dynamics. (5) Study a class of continuous-time hybrid systems as the counterparts of the discrete-time systems discussed above. (6) Propose new controller design methods based on this network data transmission strategy to improve the performance of each individual system and the whole network. We hope that this research and the problems posed here will rouse the interest of researchers in such fields as control, dynamical systems and numerical analysis.

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44

da Silva, Rafael Rodrigues, Vince Kurtz, and Hai Lin. "Symbolic Control of Hybrid Systems from Signal Temporal Logic Specifications." Guidance, Navigation and Control 01, no. 02 (June 2021): 2150008. http://dx.doi.org/10.1142/s2737480721500084.

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In safety-critical systems, it is desirable to automatically synthesize controllers for complex tasks with guaranteed safety and correctness. Although much progress has been made through controller synthesis from temporal logic specifications, existing approaches generally require conservative assumptions and do not scale well with system dimensionality. We propose a scalable, provably complete algorithm that synthesizes continuous trajectories for hybrid systems to satisfy temporal logic specifications. Specifically, we harness highly efficient Boolean satisfiability (SAT) and Linear Programming (LP) solvers to find trajectories that satisfy non-convex Signal Temporal Logic (STL) specifications for a class of high dimensional hybrid systems. The proposed design algorithms are proven sound and complete, and are validated in simulation experiments.

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45

Pes, Barbara. "Learning from High-Dimensional and Class-Imbalanced Datasets Using Random Forests." Information 12, no. 8 (July 21, 2021): 286. http://dx.doi.org/10.3390/info12080286.

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Class imbalance and high dimensionality are two major issues in several real-life applications, e.g., in the fields of bioinformatics, text mining and image classification. However, while both issues have been extensively studied in the machine learning community, they have mostly been treated separately, and little research has been thus far conducted on which approaches might be best suited to deal with datasets that are class-imbalanced and high-dimensional at the same time (i.e., with a large number of features). This work attempts to give a contribution to this challenging research area by studying the effectiveness of hybrid learning strategies that involve the integration of feature selection techniques, to reduce the data dimensionality, with proper methods that cope with the adverse effects of class imbalance (in particular, data balancing and cost-sensitive methods are considered). Extensive experiments have been carried out across datasets from different domains, leveraging a well-known classifier, the Random Forest, which has proven to be effective in high-dimensional spaces and has also been successfully applied to imbalanced tasks. Our results give evidence of the benefits of such a hybrid approach, when compared to using only feature selection or imbalance learning methods alone.

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Wang, Mingming, Yang Song, Shuai Zhang, Xin Zhang, Xiaoli Cai, Yuehe Lin, James J. De Yoreo, and Chun-Long Chen. "Programmable two-dimensional nanocrystals assembled from POSS-containing peptoids as efficient artificial light-harvesting systems." Science Advances 7, no. 20 (May 2021): eabg1448. http://dx.doi.org/10.1126/sciadv.abg1448.

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Inspired by the formation of hierarchically structured natural biominerals (e.g., bone and tooth), various sequence-defined polymers have been synthesized and exploited for design and synthesis of functional hybrid materials. Here, we synthesized a series of organic-inorganic hybrid peptoids by using polyhedral oligomeric silsesquioxane (POSS) nanoclusters as side chains at a variety of backbone locations. We further demonstrated the use of these hybrid peptoids as sequence-defined building blocks to assemble a new class of programmable two-dimensional (2D) nanocrystals. They are highly stable and exhibit an enhanced mechanical property and electron scattering due to the incorporated POSS nanoclusters. By varying peptoid side-chain chemistry, we further demonstrated the precise displacement of a large variety of function groups within these 2D nanocrystals and developed a highly efficient aqueous light-harvesting system for live cell imaging. Because these 2D nanocrystals are biocompatible and highly programmable, we expect that they offer unique opportunities for applications.

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Bonaccorso, Francesco, Luigi Colombo, Guihua Yu, Meryl Stoller, Valentina Tozzini, Andrea C. Ferrari, Rodney S. Ruoff, and Vittorio Pellegrini. "Graphene, related two-dimensional crystals, and hybrid systems for energy conversion and storage." Science 347, no. 6217 (January 1, 2015): 1246501. http://dx.doi.org/10.1126/science.1246501.

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Graphene and related two-dimensional crystals and hybrid systems showcase several key properties that can address emerging energy needs, in particular for the ever growing market of portable and wearable energy conversion and storage devices. Graphene’s flexibility, large surface area, and chemical stability, combined with its excellent electrical and thermal conductivity, make it promising as a catalyst in fuel and dye-sensitized solar cells. Chemically functionalized graphene can also improve storage and diffusion of ionic species and electric charge in batteries and supercapacitors. Two-dimensional crystals provide optoelectronic and photocatalytic properties complementing those of graphene, enabling the realization of ultrathin-film photovoltaic devices or systems for hydrogen production. Here, we review the use of graphene and related materials for energy conversion and storage, outlining the roadmap for future applications.

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Qu, Zhen, Ivan B. Djordjevic, and Jon Anderson. "Two-Dimensional Constellation Shaping in Fiber-Optic Communications." Applied Sciences 9, no. 9 (May 8, 2019): 1889. http://dx.doi.org/10.3390/app9091889.

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Constellation shaping has been widely used in optical communication systems. We review recent advances in two-dimensional constellation shaping technologies for fiber-optic communications. The system architectures that are discussed include probabilistic shaping, geometric shaping, and hybrid probabilistic-geometric shaping solutions. The performances of the three shaping schemes are also evaluated for Gaussian-noise-limited channels.

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Gerlach, J. C., K. Klöppel, C. MÜller, N. Schnoy, M. D. Smith, and P. Neuhaus. "Hepatocyte Aggregate Culture Technique for Bioreactors in Hybrid Liver Support Systems." International Journal of Artificial Organs 16, no. 12 (December 1993): 843–46. http://dx.doi.org/10.1177/039139889301601210.

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Utilizing a modified culture technique for hepatocytes, a high performance suspension culture is possible in which hepatocytes spontaneously form cell aggregates. The aggregates of 20-100 cells have been histologically confirmed to hold a three-dimensional structure, they show a long-term external metabolism and a survival time comparable with standard adhesion cultures. This technique has several advantages in the construction of large scale bioreactors for hybrid liver support systems.

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Vlachas, Pantelis R., Wonmin Byeon, Zhong Y. Wan, Themistoklis P. Sapsis, and Petros Koumoutsakos. "Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2213 (May 2018): 20170844. http://dx.doi.org/10.1098/rspa.2017.0844.

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We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in their reduced order space and are shown to be an effective set of nonlinear approximators of their attractor. We demonstrate the forecasting performance of the LSTM and compare it with Gaussian processes (GPs) in time series obtained from the Lorenz 96 system, the Kuramoto–Sivashinsky equation and a prototype climate model. The LSTM networks outperform the GPs in short-term forecasting accuracy in all applications considered. A hybrid architecture, extending the LSTM with a mean stochastic model (MSM–LSTM), is proposed to ensure convergence to the invariant measure. This novel hybrid method is fully data-driven and extends the forecasting capabilities of LSTM networks.

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