Different regimes of synchronization in nonidentical time-delayed maps

@article{Masoller2003DifferentRO,
  title={Different regimes of synchronization in nonidentical time-delayed maps},
  author={Cristina Masoller and Dami{\'a}n H. Zanette},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2003},
  volume={325},
  pages={361-370}
}
  • C. Masoller, D. Zanette
  • Published 11 March 2002
  • Physics
  • Physica A-statistical Mechanics and Its Applications

Figures from this paper

Synchronization in systems with multiple time delays.

  • E. Shahverdiev
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2004
We report on chaos synchronization between two unidirectionally coupled chaotic systems with multiple time delays and find both the existence and stability conditions for anticipating, lag, inverse

A single adaptive controller with one variable for synchronizing two identical time delay hyperchaotic Lorenz systems with mismatched parameters

Time delays are ubiquitous in real world and are often sources of complex behaviors of dynamical systems. This paper addresses the problem of parameter identification and synchronization of uncertain

An adaptive lag-synchronization method for time-delay chaotic systems

TLDR
It is shown that the controlled uncertain slave system can adaptively synchronize the master system lagged by the propagation time and the proposed adaptive feedback controller design method is successfully applied to the synchronization of time-delay Chua's circuits.

Adaptive-impulsive function projective synchronization for a class of time-delay chaotic systems

TLDR
This article investigates the function projective synchronization FPS for a class of time-delay chaotic system via nonlinear adaptive-impulsive control and uses the generalized Babarlat's lemma to ensure the FPS.

The Mechanism of a Controlled Pendulum Synchronizing with periodic Motions in a periodically forced, damped Duffing oscillator

TLDR
The analytical conditions for the controlled pendulum synchronizing with periodic motions in the Duffing oscillator are developed using the theory of discontinuous dynamical systems and the synchronization invariant domain is obtained.

Biological Prescience: The Role of Anticipation in Organismal Processes

TLDR
A case is made for incorporating an anticipatory framework into the existing physiological paradigm to advance the understanding of complex biological processes.

References

SHOWING 1-10 OF 44 REFERENCES

Dynamic long-term anticipation of chaotic states.

  • H. Voss
  • Physics
    Physical review letters
  • 2001
TLDR
Augmenting the phase space of the driven system, this work accomplishes anticipation times that are multiples of the coupling delay time and exceed characteristic time scales of the chaotic dynamics.

Anticipating chaotic synchronization

  • Voss
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
Dissipative chaotic systems with a time-delayed feedback can drive near-identical systems in such a way that the driven systems anticipate the drivers by synchronizing with their (arbitrarily

Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback.

TLDR
It is shown that anticipated synchronization occurs in coupled time-delay systems, when the coupling has a delay that is less than the delay of the systems.

Chaos control in multistable delay-differential equations and their singular limit maps

De ´partement de Physique, Universite d’Ottawa, 150 Louis Pasteur, Ottawa, Ontario, Canada K1N 6N5~Received 17 July 1997; revised manuscript received 31 March 1998!The multistability exhibited by

Synchronization regimes of optical-feedback-induced chaos in unidirectionally coupled semiconductor lasers.

TLDR
A detailed study of the parameter regions in which these synchronization regimes occur and how small variations of parameter yield one or the other type of synchronization or an unsynchronized regime is performed.

Open-versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers

We numerically study the synchronization or entrainment of two unidirectional coupled single-mode semiconductor lasers in a master-slave configuration. The emitter laser is an external-cavity laser

Regimes of chaotic synchronization in external-cavity laser diodes

Chaotic synchronization is investigated experimentally using two diode lasers as transmitter and receiver. The transmitter laser is rendered chaotic by application of an optical feedback in an

Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers

Two unidirectionally coupled external cavity semiconductor lasers showing chaotic intensity fluctuations are studied by numerically solving the Lang-Kobayashi model equations @IEEE J. Quantum