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2011
Chaos synchronization is the central core of various message encryption methods which are developed based on the properties of chaotic systems. This chapter introduces the concept of chaos synchronization and its application in secure communication. Some standard approaches such as complete, lag, phase and generalized synchronization are defined first.
Hassan Salarieh, Mohammad Shahrokhic
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Chaos synchronization is the central core of various message encryption methods which are developed based on the properties of chaotic systems. This chapter introduces the concept of chaos synchronization and its application in secure communication. Some standard approaches such as complete, lag, phase and generalized synchronization are defined first.
Hassan Salarieh, Mohammad Shahrokhic
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Taming chaos. I. Synchronization
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1993The possibility of synchronization of systems inherently operating in a chaotic mode is analyzed. The Pecora-Carroll concept of synchronizable response subsystems and chaotic driving is described. Possibilities of synchronization using linear coupling of the chaotic systems are also considered.
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Chaos, noise, and synchronization reconsidered
Physical Review E, 1995In a recent paper, Maritan and Banavar [Phys. Rev. Lett. 72, 1451 (1994)] reported the synchronization of identical chaotic systems by additive noise. We relate such a synchronization to the maximum Lyapunov exponent of a single system and discuss the underlying mechanisms of the effect. In the case of the Lorenz equations, the nonvanishing mean of the
, Herzel, , Freund
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Relaxation oscillations: Synchronization and chaos
Doklady Physics, 2011The authors present an example of an exothermic reaction, which interacts by means of heat exchange. This problem is investigated by numerical modeling, and the model is described by a system of ordinary differential equations with strongly non-linear sources. The coupling coefficient serves as a bifurcation parameter.
Vaganova, N. I. +2 more
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The geometry of chaos synchronization
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003Chaos synchronization in coupled systems is often characterized by a map φ between the states of the components. In noninvertible systems, or in systems without inherent symmetries, the synchronization set—by which we mean graph(φ)—can be extremely complicated.
Barreto, Ernest +4 more
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ON SYSTEM DECOMPOSITION FOR SYNCHRONIZING CHAOS
International Journal of Bifurcation and Chaos, 1994The problem of the existence of equivalent self-synchronizing systems for a given chaotic system containing a unique stationary and memoryless nonlinear element is addressed. By employing classical frequency domain stability results, one-parameter families of equivalent self-synchronizing systems are given in an explicit way.
TESI, ALBERTO +2 more
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Chaos communication using observer based chaos synchronization
IFAC Proceedings Volumes, 1999Abstract Chaos synchronization is a nonlinear phenomenon such that two subsystems are chaotic but their states take the same values at each time. This paper proposes a design method of chaotically synchronized systems using a reduced-order observer with unknown input. Then it is applied to chaos communication.
Toshimitsu Ushio, Eiji Inoue
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Chaos Control and Synchronization
2007To provide a brief historical introduction to chaos control and synchronization. To introduce two methods of chaos control for one- and two-dimensional discrete maps. To introduce two methods of chaos synchronization.
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CHAOS, CHAOS CONTROL AND SYNCHRONIZATION OF A GYROSTAT SYSTEM
Journal of Sound and Vibration, 2002Summary: The dynamic behavior of a gyrostat system subjected to external disturbance is studied in this paper. By applying numerical results, phase diagrams, power spectrum, period-T maps, and Lyapunov exponents are presented to observe periodic and choatic motions.
Ge, Zheng-Ming, Lin, T.-N.
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Quantum Nonlocality From Synchronized Chaos
International Journal of Theoretical Physics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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