Results 31 to 40 of about 1,517 (54)

Transitions To the Long-Resident State in coupled chaotic oscillators

open access: yes, 2005
The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits of the two ...
Ao Bin   +11 more
core   +1 more source

Maximizing coherence of oscillations by external locking

open access: yes, 2015
We study how the coherence of noisy oscillations can be optimally enhanced by external locking. Basing on the condition of minimizing the phase diffusion constant, we find the optimal forcing explicitly in the limits of small and large noise, in ...
Pikovsky, Arkady
core   +1 more source

Chaos Synchronization of delayed systems in the presence of delay time modulation

open access: yes, 2005
We investigate synchronization in the presence of delay time modulation for application to communication. We have observed that the robust synchronization is established by a common delay signal and its threshold is presented using Lyapunov exponents ...
Afraimovich   +35 more
core   +1 more source

Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays

open access: yesAdvances in Difference Equations, 2011
In this paper, an integral sliding mode control approach is presented to investigate synchronization of nonidentical chaotic neural networks with discrete and distributed time-varying delays as well as leakage delay.
Cao Jinde, Song Qiankun
doaj  

Hole Structures in Nonlocally Coupled Noisy Phase Oscillators

open access: yes, 2007
We demonstrate that a system of nonlocally coupled noisy phase oscillators can collectively exhibit a hole structure, which manifests itself in the spatial phase distribution of the oscillators.
A. Pikovsky   +10 more
core   +1 more source

Analytical calculation of the transition to complete phase synchronization in coupled oscillators

open access: yes, 2007
Here we present a system of coupled phase oscillators with nearest neighbors coupling, which we study for different boundary conditions. We concentrate at the transition to total synchronization.
A. S. Pikovsky   +26 more
core   +1 more source

Pulses of chaos synchronization in coupled map chains with delayed transmission

open access: yes, 2009
Pulses of synchronization in chaotic coupled map lattices are discussed in the context of transmission of information. Synchronization and desynchronization propagate along the chain with different velocities which are calculated analytically from the ...
A. Pikovsky   +5 more
core   +1 more source

Anti-phase synchronization of phase-reduced oscillators using open-loop control

open access: yes, 2011
In this letter, we present an elegant method to build and maintain an anti-phase configuration of two nonlinear oscillators with different natural frequencies and dynamics described by the sinusoidal phase-reduced model. The anti-phase synchronization is
A. Becker   +14 more
core   +1 more source

Physics of Psychophysics: Stevens and Weber-Fechner laws are transfer functions of excitable media

open access: yes, 2004
Sensory arrays made of coupled excitable elements can improve both their input sensitivity and dynamic range due to collective non-linear wave properties. This mechanism is studied in a neural network of electrically coupled (e.g.
Antônio C. Roque   +10 more
core   +1 more source

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