Phase synchronization in the perturbed Chua circuit.
نویسندگان
چکیده
We show experimental and numerical results of phase synchronization between the chaotic Chua circuit and a small sinusoidal perturbation. Experimental real-time phase synchronized states can be detected with oscilloscope visualization of the attractor, using specific sampling rates. Arnold tongues demonstrate robust phase synchronized states for perturbation frequencies close to the characteristic frequency of the unperturbed Chua.
منابع مشابه
Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems
We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular frequency, but also it exists a very large number of nontransient transformations, possibly infinity. In cases where there is not phase synchronization there is eit...
متن کاملExperimental Chua-plasma phase synchronization of chaos.
Experimental phase synchronization of chaos is demonstrated for two different chaotic oscillators: a plasma discharge and the Chua circuit. Our technique includes real-time capability for observing synchronization-desynchronization transitions. This capability results from a strong combination of synchronization and control, and allows tuning adjustments for search and stabilization of synchron...
متن کاملAdaptive Synchronization for RÖssler and Chua's Circuit Systems
This study addresses the adaptive synchronization of Rössler and Chua circuit systems with unknown parameters. By using Lyapunov stability theory the adaptive synchronization law with a single-state variable feedback is derived, such that the trajectory of the two systems are globally stabilized to an equilibrium point of the uncontrolled system (globally stable means that the method of the sol...
متن کاملExperimental evidence of anomalous phase synchronization in two diffusively coupled Chua oscillators.
We study the transition to phase synchronization in two diffusively coupled, nonidentical Chua oscillators. In the experiments, depending on the used parameterization, we observe several distinct routes to phase synchronization, including states of either in-phase, out-of-phase, or antiphase synchronization, which may be intersected by an intermediate desynchronization regime with large fluctua...
متن کاملBirth of double-double scroll attractor in coupled Chua circuits
We discuss the creation of hyperchaotic attractors in a system of two coupled Chua circuits. Both mutual and unidirectional couplings are considered. Results from chaos synchronization theory allow us to determine chaos-hyperchaos intermittency.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 67 5 Pt 2 شماره
صفحات -
تاریخ انتشار 2003