Log in

Relevant bibliographies by topics / Partial synchronization / Journal articles

Journal articles on the topic 'Partial synchronization'

To see the other types of publications on this topic, follow the link: Partial synchronization.

Author: Grafiati

Published: 10 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Partial synchronization.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

SANTOBONI, GIOVANNI, ALEXANDER YU POGROMSKY, and HENK NIJMEIJER. "PARTIAL OBSERVERS AND PARTIAL SYNCHRONIZATION." International Journal of Bifurcation and Chaos 13, no. 02 (February 2003): 453–58. http://dx.doi.org/10.1142/s0218127403006698.

Full text

Abstract:

In this Letter we analyze the concept of partial synchronization as observer design. Our aim is to estimate a signal, the function of the coordinates of a particular system that, when considering a specific output, is not necessarily fully observable.

APA, Harvard, Vancouver, ISO, and other styles

2

SURESH, R., D. V. SENTHILKUMAR, M. LAKSHMANAN, and J. KURTHS. "GLOBAL AND PARTIAL PHASE SYNCHRONIZATIONS IN ARRAYS OF PIECEWISE LINEAR TIME-DELAY SYSTEMS." International Journal of Bifurcation and Chaos 22, no. 07 (July 2012): 1250178. http://dx.doi.org/10.1142/s0218127412501787.

Full text

Abstract:

In this paper, we report the phenomena of global and partial phase synchronizations in linear arrays of unidirectionally coupled piecewise linear time-delay systems. In particular, in a linear array with open end boundary conditions, global phase synchronization (GPS) is achieved by a sequential synchronization of local oscillators in the array as a function of the coupling strength (a second order transition). Several phase synchronized clusters are also formed during the transition to GPS at intermediate values of the coupling strength, as a prelude to full scale synchronization. On the other hand, in a linear array with closed end boundary conditions (ring topology), partial phase synchronization (PPS) is achieved by forming different groups of phase synchronized clusters above some threshold value of the coupling strength (a first order transition) where they continue to be in a stable PPS state. We confirm the occurrence of both global and partial phase synchronizations in two different piecewise linear time-delay systems using various qualitative and quantitative measures in three different frameworks, namely, using explicit phase, recurrence quantification analysis and the framework of localized sets.

APA, Harvard, Vancouver, ISO, and other styles

3

Lipowski, Adam, and Michel Droz. "Synchronization and partial synchronization of linear maps." Physica A: Statistical Mechanics and its Applications 347 (March 2005): 38–50. http://dx.doi.org/10.1016/j.physa.2004.09.047.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

LUO, ALBERT C. J., and FUHONG MIN. "THE MECHANISM OF A CONTROLLED PENDULUM SYNCHRONIZING WITH PERIODIC MOTIONS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR." International Journal of Bifurcation and Chaos 21, no. 07 (July 2011): 1813–29. http://dx.doi.org/10.1142/s0218127411029495.

Full text

Abstract:

In this paper, the analytical conditions for the controlled pendulum synchronizing with periodic motions in the Duffing oscillator are developed using the theory of discontinuous dynamical systems. From the analytical conditions, the synchronization invariant domain is obtained. The partial and full synchronizations of the controlled pendulum with periodic motions in the Duffing oscillator are discussed. The control parameter map for the synchronization is achieved from the analytical conditions, and numerical illustrations of the partial and full synchronizations are carried out to illustrate the analytical conditions. This synchronization is different from the controlled Duffing oscillator synchronizing with chaotic motion in the periodically excited pendulum. Because the periodically forced, damped Duffing oscillator possesses periodic and chaotic motions, further investigation on the controlled pendulum synchronizing with complicated periodic and chaotic motions in the Duffing oscillator will be accomplished in sequel.

APA, Harvard, Vancouver, ISO, and other styles

5

Sun, Xiaohui, and Xilin Fu. "Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/341635.

Full text

Abstract:

This paper discusses the synchronization of the Van der Pol equation with a pendulum under the sinusoidal constraint through the theory of discontinuous dynamical systems. The analytical conditions for the sinusoidal synchronization of the Van der Pol equation with a periodically forced pendulum are developed. With the conditions, the sinusoidal synchronizations of the two systems are discussed. Switching points for appearance and vanishing of the partial synchronization are developed.

APA, Harvard, Vancouver, ISO, and other styles

6

Pogromsky, Alexander Yu. "A partial synchronization theorem." Chaos: An Interdisciplinary Journal of Nonlinear Science 18, no. 3 (September 2008): 037107. http://dx.doi.org/10.1063/1.2959145.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

WANG, XINGANG, HAIHONG LI, KAI HU, and GANG HU. "PARTIAL MEASURE SYNCHRONIZATION IN HAMILTONIAN SYSTEMS." International Journal of Bifurcation and Chaos 12, no. 05 (May 2002): 1141–48. http://dx.doi.org/10.1142/s0218127402004978.

Full text

Abstract:

Partial synchronization in Hamiltonian systems is investigated based on the concept of measure-synchronization. The classical φ4 model is used for the investigation. A macroscopic observable of long-term average of particle energy is computed to describe transitions between desynchronization, different partial synchronization, and complete synchronization structures. It is found that, prior to the entire synchronization of all oscillators, partial measure-synchronization for some clusters of oscillators is stable within certain regions. Moreover, transition from quasiperiodicity to chaos is observed to be associated with the measure-synchronization as the coupling strength is increased.

APA, Harvard, Vancouver, ISO, and other styles

8

Inoue, Masayoshi, Takashi Kawazoe, Yutaka Nishi, and Masakazu Nagadome. "Generalized synchronization and partial synchronization in coupled maps." Physics Letters A 249, no. 1-2 (November 1998): 69–73. http://dx.doi.org/10.1016/s0375-9601(98)00713-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Min, Fuhong, and Albert C. J. Luo. "Complex Dynamics of Projective Synchronization of Chua Circuits with Different Scrolls." International Journal of Bifurcation and Chaos 25, no. 05 (May 2015): 1530016. http://dx.doi.org/10.1142/s0218127415300165.

Full text

Abstract:

In this paper, the dynamics mechanism of the projective synchronization of Chua circuits with different scrolls is investigated analytically through the theory of discontinuous dynamical systems. The analytical conditions for the projective synchronization of Chua circuits with chaotic motions are developed. From these conditions, the parameter characteristics of the projective synchronization of Chua circuits with different scrolls are discussed, and the corresponding parameter maps and the invariant domain for such projective synchronization of Chua circuits are presented. Illustrations for partial and full projective synchronizations of the Chua circuits are given. The projective synchronization of Chua circuits is implemented experimentally, and numerical and experimental results are compared.

APA, Harvard, Vancouver, ISO, and other styles

10

Hu, Fei Hu, Jie Jiang, Ling Ma, and Lu Lu Liu. "Abstracting Synchronization Process in Workflow Involving Partial Synchronization Pattern." Applied Mechanics and Materials 182-183 (June 2012): 1781–85. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.1781.

Full text

Abstract:

For the partial synchronization problem in integration of workflow process model with data model, this paper develops an algorithm through synchronization edges to get synchronization processes. Firstly, a workflow model called RTWD net is introduced. Then the concepts of synchronization edge, process, synchronization process, base process, process tree, data type and trace-set of types is given. Finally, an algorithm for abstracting the synchronization process and a case study is presented.

APA, Harvard, Vancouver, ISO, and other styles

11

Wang, Zhen-Hua, and Zong-Hua Liu. "Partial synchronization in complex networks: Chimera state, remote synchronization, and cluster synchronization." Acta Physica Sinica 69, no. 8 (2020): 088902. http://dx.doi.org/10.7498/aps.69.20191973.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Hancock, Edward J., and David J. Hill. "Restricted Partial Stability and Synchronization." IEEE Transactions on Circuits and Systems I: Regular Papers 61, no. 11 (November 2014): 3235–44. http://dx.doi.org/10.1109/tcsi.2014.2334991.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Pogromsky, A., G. Santoboni, and H. Nijmeijer. "PARTIAL SYNCHRONIZATION THROUGH PERMUTATION SYMMETRY." IFAC Proceedings Volumes 35, no. 1 (2002): 215–20. http://dx.doi.org/10.3182/20020721-6-es-1901.01107.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Ao, Bin, and Zhigang Zheng. "Partial synchronization on complex networks." Europhysics Letters (EPL) 74, no. 2 (April 2006): 229–35. http://dx.doi.org/10.1209/epl/i2005-10533-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Jun, Chen, and Liu Zeng-rong. "Partial synchronization between different systems." Applied Mathematics and Mechanics 26, no. 9 (September 2005): 1132–37. http://dx.doi.org/10.1007/bf02507722.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

HILLIER, DÁNIEL, SERKAN GÜNEL, JOHAN A. K. SUYKENS, and JOOS VANDEWALLE. "PARTIAL SYNCHRONIZATION IN OSCILLATOR ARRAYS WITH ASYMMETRIC COUPLING." International Journal of Bifurcation and Chaos 17, no. 11 (November 2007): 4177–85. http://dx.doi.org/10.1142/s0218127407019718.

Full text

Abstract:

A new form of cluster synchronization is explored in cellular arrays of chaotic oscillators. Previously, it was shown in the literature that symmetries of the coupling topology with uniform interaction weights lead to several coexisting clusters of synchronized cells. In this study a new phenomenon is presented where highly asymmetric interaction weights can give rise to cluster synchronization regimes with partial synchronization. In addition, cluster or partial synchronization regimes corresponding to asymmetric interaction patterns can break the underlying symmetries of the network topology and boundary conditions at the expense of some residual synchronization error.

APA, Harvard, Vancouver, ISO, and other styles

17

Schöll, Eckehard. "Partial synchronization patterns in brain networks." Europhysics Letters 136, no. 1 (October 1, 2021): 18001. http://dx.doi.org/10.1209/0295-5075/ac3b97.

Full text

Abstract:

Abstract Partial synchronization patterns play an important role in the functioning of neuronal networks, both in pathological and in healthy states. They include chimera states, which consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, and other complex patterns. In this perspective article we show that partial synchronization scenarios are governed by a delicate interplay of local dynamics and network topology. Our focus is in particular on applications of brain dynamics like unihemispheric sleep and epileptic seizure.

APA, Harvard, Vancouver, ISO, and other styles

18

Dmitriev, Aleksey V., and Sergey M. Ermakov. "On partial synchronization of iterative methods." Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy 3(61), no. 3 (2016): 393–401. http://dx.doi.org/10.21638/11701/spbu01.2016.306.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Akopov, A. A., T. E. Vadivasova, V. V. Astakhov, and D. D. Matyushkin. "Partial synchronization in inhomogeneous autooscillatory media." Technical Physics Letters 29, no. 8 (August 2003): 629–31. http://dx.doi.org/10.1134/1.1606769.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Shabana, H. "Exact synchronization in partial deterministic automata." Journal of Physics: Conference Series 1352 (October 2019): 012047. http://dx.doi.org/10.1088/1742-6596/1352/1/012047.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Pogromsky, Alexander, Giovanni Santoboni, and Henk Nijmeijer. "Partial synchronization: from symmetry towards stability." Physica D: Nonlinear Phenomena 172, no. 1-4 (November 2002): 65–87. http://dx.doi.org/10.1016/s0167-2789(02)00654-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Li, Fengbing, Zhongjun Ma, and Qichang Duan. "Partial component synchronization on chaotic networks." Physica A: Statistical Mechanics and its Applications 515 (February 2019): 707–14. http://dx.doi.org/10.1016/j.physa.2018.10.008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Chen, Hongwei, Jinling Liang, and Jianquan Lu. "Partial Synchronization of Interconnected Boolean Networks." IEEE Transactions on Cybernetics 47, no. 1 (January 2017): 258–66. http://dx.doi.org/10.1109/tcyb.2015.2513068.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Wei, Qiang, Cheng-jun Xie, Xu-ri Kou, and Wei Shen. "Delay Partial Synchronization of Mutual Delay Coupled Boolean Networks." Measurement and Control 53, no. 5-6 (April 15, 2020): 870–75. http://dx.doi.org/10.1177/0020294019882967.

Full text

Abstract:

This paper studies the delay partial synchronization for mutual delay-coupled Boolean networks. First, the mutual delay-coupled Boolean network model is presented. Second, some necessary and sufficient conditions are derived to ensure the delay partial synchronization of the mutual delay-coupled Boolean networks. The upper bound of synchronization time is obtained. Finally, an example is provided to illustrate the efficiency of the theoretical analysis.

APA, Harvard, Vancouver, ISO, and other styles

25

Steur, Erik, Carlos Murguia, Rob H. B. Fey, and Henk Nijmeijer. "Synchronization and Partial Synchronization Experiments with Networks of Time-Delay Coupled Hindmarsh–Rose Neurons." International Journal of Bifurcation and Chaos 26, no. 07 (June 30, 2016): 1650111. http://dx.doi.org/10.1142/s021812741650111x.

Full text

Abstract:

We study experimentally synchronization and partial synchronization in networks of Hindmarsh–Rose model neurons that interact through linear time-delay couplings. Our experimental setup consists of electric circuit board realizations of the Hindmarsh–Rose model neuron and a coupling interface in which the interaction between the circuits is defined. With this experimental setup we test the predictive value of theoretical results about synchronization and partial synchronization in networks.

APA, Harvard, Vancouver, ISO, and other styles

26

WANG, YAN-WU, CHANGYUN WEN, YENG CHAI SOH, and ZHI-HONG GUAN. "PARTIAL STATE IMPULSIVE SYNCHRONIZATION OF A CLASS OF NONLINEAR SYSTEMS." International Journal of Bifurcation and Chaos 19, no. 01 (January 2009): 387–93. http://dx.doi.org/10.1142/s0218127409022944.

Full text

Abstract:

Impulsive synchronization of chaotic systems is an attractive topic and a number of interesting results have been obtained in recent years. However, all of these results on impulsive synchronization need to employ full states of the system to achieve the desired objectives. In this paper, impulsive synchronization that needs only part of system states is studied for a class of nonlinear system. Typical chaotic systems, such as Lorenz system, Chen's system, and a 4D hyperchaotic system, are taken as examples. A new scheme is proposed to select the impulsive intervals. After some theoretical analysis, simulation results show the effectiveness of the proposed synchronization scheme.

APA, Harvard, Vancouver, ISO, and other styles

27

AO, BIN, XIAOJUAN MA, ZHIGANG ZHENG, and XIULLIN LI. "PARTIAL SYNCHRONIZATION OF COUPLED CHAOTIC OSCILLATORS WITH BLINKING NON-LOCAL COUPLINGS." International Journal of Modern Physics B 21, no. 07 (March 20, 2007): 995–1003. http://dx.doi.org/10.1142/s0217979207036862.

Full text

Abstract:

Coupled chaotic oscillators are found to be able to achieve the partial synchronization state in some networks. The scaling relation between the synchronization time and the coupling at the synchronous threshold is found and explained. In the studies, it was found that the coupling of the synchronization properties of networks is not homogeneous.

APA, Harvard, Vancouver, ISO, and other styles

28

Cao, Lin, and Rongwei Guo. "Partial Anti-Synchronization Problem of the 4D Financial Hyper-Chaotic System with Periodically External Disturbance." Mathematics 10, no. 18 (September 16, 2022): 3373. http://dx.doi.org/10.3390/math10183373.

Full text

Abstract:

This paper is concerned with the partial anti-synchronization of the 4D financial hyper-chaotic system with periodically external disturbance. Firstly, the existence of the partial anti-synchronization problem for the nominal 4D financial system is proven. Then, a suitable filter is presented, by which the periodically external disturbance is asymptotically estimated. Moreover, two disturbance estimator (DE)-based controllers are designed to realize the partial anti-synchronization problem of such a system. Finally, numerical simulation verifies the effectiveness and correctness of the proposed results.

APA, Harvard, Vancouver, ISO, and other styles

29

TABOROV, A. V., Yu L. MAISTRENKO, and E. MOSEKILDE. "PARTIAL SYNCHRONIZATION IN A SYSTEM OF COUPLED LOGISTIC MAPS." International Journal of Bifurcation and Chaos 10, no. 05 (May 2000): 1051–66. http://dx.doi.org/10.1142/s0218127400000748.

Full text

Abstract:

Clustering (or partial synchronization) in a system of globally coupled chaotic oscillators is studied by means of a model of three coupled logistic maps. For this model we determine the regions in parameter space where total and partial synchronization take place, examine the bifurcations through which total synchronization (one-cluster dynamics) breaks down to give way to two- and three-cluster dynamics, and follow the subsequent transformations of the various asynchronous periodic, quasiperiodic and chaotic states. Different forms of riddling of the basins of attraction for the fully synchronized state are observed, and we discuss the mechanisms through which they arise.

APA, Harvard, Vancouver, ISO, and other styles

30

Dmitriev, A. V., and S. M. Ermakov. "On the partial synchronization of iterative methods." Vestnik St. Petersburg University: Mathematics 49, no. 3 (July 2016): 231–37. http://dx.doi.org/10.3103/s1063454116030055.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

MAISTRENKO, Yu, O. POPOVYCH, and M. HASLER. "ON STRONG AND WEAK CHAOTIC PARTIAL SYNCHRONIZATION." International Journal of Bifurcation and Chaos 10, no. 01 (January 2000): 179–203. http://dx.doi.org/10.1142/s0218127400000116.

Full text

Abstract:

We study coupled nonlinear dynamical systems with chaotic behavior in the case when two or more (but not all) state variables synchronize, i.e. converge to each other asymptotically in time. It is shown that for symmetrical systems, such partial chaotic synchronization is usually only weak, whereas with nonsymmetrical coupling it can be strong in large parameter ranges. These facts are illustrated with systems of three coupled one-dimensional maps, for which a rich variety of different "partial chaotic synchronizing" phenomena takes place.

APA, Harvard, Vancouver, ISO, and other styles

32

Patapoutian, A. "Data-dependent synchronization in partial-response systems." IEEE Transactions on Signal Processing 54, no. 4 (April 2006): 1494–503. http://dx.doi.org/10.1109/tsp.2006.870587.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Wang, Jun-Wei, and Ai-Min Chen. "Partial synchronization in coupled chemical chaotic oscillators." Journal of Computational and Applied Mathematics 233, no. 8 (February 2010): 1897–904. http://dx.doi.org/10.1016/j.cam.2009.09.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

BANERJEE, R., E. PADMANABAN, and S. K. DANA. "Control of partial synchronization in chaotic oscillators." Pramana 84, no. 2 (February 2015): 203–15. http://dx.doi.org/10.1007/s12043-014-0927-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Murguia, Carlos, Rob H. B. Fey, and Henk Nijmeijer. "Partial Network Synchronization Using Diffusive Dynamic Couplings." IFAC Proceedings Volumes 47, no. 3 (2014): 4675–80. http://dx.doi.org/10.3182/20140824-6-za-1003.00799.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Su, Libo, Yanling Wei, Wim Michiels, Erik Steur, and Henk Nijmeijer. "Robust partial synchronization of delay-coupled networks." Chaos: An Interdisciplinary Journal of Nonlinear Science 30, no. 1 (January 2020): 013126. http://dx.doi.org/10.1063/1.5111745.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Zhang, Gang, Zhongjun Ma, Yi Wang, and Jianbao Zhang. "Partial Synchronizability Characterized by Principal Quasi-Submatrices Corresponding to Clusters." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/584790.

Full text

Abstract:

A partial synchronization problem in an oscillator network is considered. The concept on a principal quasi-submatrix corresponding to the topology of a cluster is proposed for the first time to study partial synchronization. It is shown that partial synchronization can be realized under the condition depending on the principal quasi-submatrix, but not distinctly depending on the intercluster couplings. Obviously, the dimension of any principal quasi-submatrix is usually far less than the one of the network topology matrix. Therefore, our criterion provides us a novel index of partial synchronizability, which reduces the network size when the network is composed of a great mount of nodes. Numerical simulations are carried out to confirm the validity of the method.

APA, Harvard, Vancouver, ISO, and other styles

38

Peng, Runlong, Cuimei Jiang, and Rongwei Guo. "Partial Anti-Synchronization of the Fractional-Order Chaotic Systems through Dynamic Feedback Control." Mathematics 9, no. 7 (March 26, 2021): 718. http://dx.doi.org/10.3390/math9070718.

Full text

Abstract:

This paper investigates the partial anti-synchronization problem of fractional-order chaotic systems through the dynamic feedback control method. Firstly, a necessary and sufficient condition is proposed, by which the existence of the partial anti-synchronization problem is proved. Then, an algorithm is given and used to obtain all solutions of this problem. Moreover, the partial anti-synchronization problem of the fractional-order chaotic systems is realized through the dynamic feedback control method. It is noted that the designed controllers are single-input controllers. Finally, two illustrative examples with numerical simulations are used to verify the correctness and effectiveness of the proposed results.

APA, Harvard, Vancouver, ISO, and other styles

39

Bashkirtseva, Irina A., Alexander N. Pisarchik, and Lev B. Ryashko. "Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons." Mathematics 11, no. 3 (January 23, 2023): 597. http://dx.doi.org/10.3390/math11030597.

Full text

Abstract:

We study dynamics of a unidirectional ring of three Rulkov neurons coupled by chemical synapses. We consider both deterministic and stochastic models. In the deterministic case, the neural dynamics transforms from a stable equilibrium into complex oscillatory regimes (periodic or chaotic) when the coupling strength is increased. The coexistence of complete synchronization, phase synchronization, and partial synchronization is observed. In the partial synchronization state either two neurons are synchronized and the third is in antiphase, or more complex combinations of synchronous and asynchronous interaction occur. In the stochastic model, we observe noise-induced destruction of complete synchronization leading to multistate intermittency between synchronous and asynchronous modes. We show that even small noise can transform the system from the regime of regular complete synchronization into the regime of asynchronous chaotic oscillations.

APA, Harvard, Vancouver, ISO, and other styles

40

Ruzitalab, Ahmad, Mohammad Hadi Farahi, and Gholamhossien Erjaee. "Partial Contraction Analysis of Coupled Fractional Order Systems." Journal of Applied Mathematics 2018 (July 2, 2018): 1–9. http://dx.doi.org/10.1155/2018/9414835.

Full text

Abstract:

Contraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization phenomenon in networks of various structures and with arbitrary number of systems. We have used partial contraction theory to derive exact and global results on synchronization and antisynchronization of fractional order systems.

APA, Harvard, Vancouver, ISO, and other styles

41

Solís-Perales, Gualberto. "Complete Synchronization of Strictly Different Chaotic Systems." Journal of Applied Mathematics 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/964179.

Full text

Abstract:

The criteria for complete synchronization of strictly different chaotic systems using feedback control are presented in this paper. Complete synchronization is achieved when all the states in the slave system are synchronous with the corresponding state in the master system. We illustrate that using a single input and single output control scheme, the synchronization of a class of strictly different systems is obtained in partial form. To overcome this problem we show that a multiple input and multiple output control scheme with an equal number of inputs and outputs than the order system is required in order to obtain the complete synchronization. This procedure is used to synchronize the Rössler and the Chen systems as an example. We also demonstrate that if the synchronization scheme considers less inputs and outputs, the partial-state synchronization is obtained.

APA, Harvard, Vancouver, ISO, and other styles

42

Koronovskii, A. A., and A. E. Khramov. "Generalized synchronization of chaotic oscillators as a partial case of time scale synchronization." Technical Physics Letters 30, no. 12 (December 2004): 998–1001. http://dx.doi.org/10.1134/1.1846839.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

ANISHCHENKO, V. S., T. E. VADIVASOVA, D. E. POSTNOV, and M. A. SAFONOVA. "SYNCHRONIZATION OF CHAOS." International Journal of Bifurcation and Chaos 02, no. 03 (September 1992): 633–44. http://dx.doi.org/10.1142/s0218127492000756.

Full text

Abstract:

This paper is devoted to the problem of synchronization of dynamical systems in chaotic oscillations regimes. The authors attempt to use the ideas of synchronization and its mechanisms on a certain class of chaotic oscillations. These are chaotic oscillations for which one can pick out basic frequencies in their power spectra. The physical and computer experiments were carried out for the system of two coupled auto-oscillators. The experimental installation permitted one to realize both unidirectional coupling (external synchronization) and symmetrical coupling (mutual synchronization). An auto-oscillator with an inertial nonlinearity was chosen as a partial subsystem. It possesses a chaotic attractor of spiral type in its phase space. It is known that such chaotic oscillations have a distinguished peak in the power spectrum at the frequency f0 (basic frequency). In the experiments, one could make the basic frequencies of partial oscillators equal or different. The bifurcation diagrams on the plane of control parameters "detuning" and "coupling" were constructed and analyzed. The results of investigations permit one to conclude that classical ideas of synchronization can be applied to chaotic systems of the mentioned type. Two mechanisms of chaos synchronization were established: 1) basic frequency locking and 2) basic frequency suppression. The bifurcational background of these mechanisms was created using numerical analysis on a computer. This allowed one to analyze the evolution of different oscillation characteristics under the influence of synchronization.

APA, Harvard, Vancouver, ISO, and other styles

44

WU, CHAI WAH, and LEON O. CHUA. "A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 04, no. 04 (August 1994): 979–98. http://dx.doi.org/10.1142/s0218127494000691.

Full text

Abstract:

In this paper, we give a framework for synchronization of dynamical systems which unifies many results in synchronization and control of dynamical systems, in particular chaotic systems. We define concepts such as asymptotical synchronization, partial synchronization and synchronization error bounds. We show how asymptotical synchronization is related to asymptotical stability. The main tool we use to prove asymptotical stability and synchronization is Lyapunov stability theory. We illustrate how many previous results on synchronization and control of chaotic systems can be derived from this framework. We will also give a characterization of robustness of synchronization and show that master-slave asymptotical synchronization in Chua’s oscillator is robust.

APA, Harvard, Vancouver, ISO, and other styles

45

HUANG, XIA, JIAN GAO, DAIHAI HE, and ZHIGANG ZHENG. "GENERALIZED SYNCHRONIZATION IN DOUBLY DRIVEN CHAOTIC SYSTEM." International Journal of Modern Physics B 20, no. 24 (September 30, 2006): 3477–85. http://dx.doi.org/10.1142/s0217979206035540.

Full text

Abstract:

Generalized synchronization (GS) of a chaotic oscillator driven by two chaotic signals is investigated in this paper. Both receiver and drivers are the same kind of oscillators with mismatched parameter values. Partial and global GS may appear depending on coupling strengths. An approach based on the conditional entropy analysis is presented to test the partial GS, which is difficult to determine with conventional methods. A trough in conditional entropy spectrum indicates partial GS between the receiver and one of the drivers.

APA, Harvard, Vancouver, ISO, and other styles

46

Khanra, Pitambar, and Pinaki Pal. "Explosive synchronization in multilayer networks through partial adaptation." Chaos, Solitons & Fractals 143 (February 2021): 110621. http://dx.doi.org/10.1016/j.chaos.2020.110621.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Gordon, Richard. "Partial synchronization of the colonial diatom Bacillaria "paradoxa"." Research Ideas and Outcomes 2 (January 22, 2016): e7869. http://dx.doi.org/10.3897/rio.2.e7869.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Hasler, M., Yu Maistrenko, and O. Popovych. "Simple example of partial synchronization of chaotic systems." Physical Review E 58, no. 5 (November 1, 1998): 6843–46. http://dx.doi.org/10.1103/physreve.58.6843.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Blaum, M., and J. Bruck. "Coding for delay-insensitive communication with partial synchronization." IEEE Transactions on Information Theory 40, no. 3 (May 1994): 941–45. http://dx.doi.org/10.1109/18.335907.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Wu, Kaining, and Bor-Sen Chen. "Synchronization of Partial Differential Systems via Diffusion Coupling." IEEE Transactions on Circuits and Systems I: Regular Papers 59, no. 11 (November 2012): 2655–68. http://dx.doi.org/10.1109/tcsi.2012.2190670.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!