Forced synchronization of a self-sustained chaotic oscillator

Salas, J. S. González; Cantón, Eliseo; Salazar, Francisco C. Ordaz; Cantón, I. Campos

doi:10.1063/1.2947661

Cited by 11 publications

(1 citation statement)

References 16 publications

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“…In Ref. 21, forced synchronization phenomenon was explored using two identical slave systems forced harmonically, thus different modes of synchronized behaviors were found due to the high sensibility to changes in the parameters values of the external driving, for example, identical, lag, and antisymmetric forced synchronization appear when the two systems oscillate into a limit cycle and phase locking forced synchronization when one of the attractors is a torus and the other one is a limit cycle.…”

Section: Introductionmentioning

confidence: 99%

Forced synchronization of autonomous dynamical Boolean networks

Rivera-Durón

Campos-Cantón

et al. 2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We present the design of an autonomous time-delay Boolean network realized with readily available electronic components. Through simulations and experiments that account for the detailed nonlinear response of each circuit element, we demonstrate that a network with five Boolean nodes displays complex behavior. Furthermore, we show that the dynamics of two identical networks display near-instantaneous synchronization to a periodic state when forced by a common periodic Boolean signal. A theoretical analysis of the network reveals the conditions under which complex behavior is expected in an individual network and the occurrence of synchronization in the forced networks. This research will enable future experiments on autonomous time-delay networks using readily available electronic components with dynamics on a slow enough time-scale so that inexpensive data collection systems can faithfully record the dynamics.

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Section: Introductionmentioning

confidence: 99%

Forced synchronization of autonomous dynamical Boolean networks

Rivera-Durón

Campos-Cantón

et al. 2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Multivalued synchronization by Poincaré coupling

Ontañón-García

Campos-Cantón

Femat

et al. 2013

Communications in Nonlinear Science and Numerical Simulation

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Synchronization of a class of chaotic systems with fully unknown parameters using adaptive sliding mode approach

Roopaei

Jahromi

2008

Chaos: An Interdisciplinary Journal of Nonlinear Science

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In this paper, an adaptive sliding mode control method for synchronization of a class of chaotic systems with fully unknown parameters is introduced. In this method, no knowledge of the bounds of parameters is required in advance and the parameters are updated through an adaptive control process. We use our proposed method to synchronize two chaotic gyros, which has been the subject of intense study during the recent years for its application in the navigational, aeronautical, and space engineering domains. The effectiveness of our method is demonstrated in simulation environment and the results are compared with some recent schemes proposed in the literature for the same task.

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Forced synchronization of a self-sustained chaotic oscillator

Cited by 11 publications

References 16 publications

Forced synchronization of autonomous dynamical Boolean networks

Forced synchronization of autonomous dynamical Boolean networks

Multivalued synchronization by Poincaré coupling

Synchronization of a class of chaotic systems with fully unknown parameters using adaptive sliding mode approach

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