United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS STRANGE ATTRACTORS AND SYNCHRONIZATION DYNAMICS OF COUPLED VAN DER POL-DUFFING OSCILLATORS
نویسندگان
چکیده
We consider in this paper the dynamics and synchronization of coupled chaotic Van der PolDuffing systems. The stability of the synchronization process between two coupled autonomous Van der Pol model is first analyzed analytically and numerically, before following the problem of synchronizing chaos both on the same and different chaotic orbits of two coupled Van der Pol-Duffing systems. The stability boundaries of the synchronization process are derived and the effects of the amplitude of the periodic perturbation of the coupling parameter on these boundaries are analyzed. The results are provided on the stability map in the (q,K) plane. MIRAMARE – TRIESTE July 2006 Junior Associate of ICTP. Corresponding author: [email protected] [email protected]
منابع مشابه
IC/99/188 United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS HARMONIC OSCILLATIONS, CHAOS AND SYNCHRONIZATION IN SYSTEMS CONSISTING OF VAN DER POL OSCILLATOR COUPLED TO A LINEAR OSCILLATOR
This paper deals with the dynamics of a model describing systems eonsisting of the classical Van der Pol oscillator coupled gyroscopically to a linear oscillator. Both the forced and autonomous cases are considered. Harmonic response is investigated along with its stability boundaries. Condition for quenching phenomena in the autonomous case is derived. Neimark bifurcation is observed and it is...
متن کاملSynchronization of Coupled Anizochronous Auto-Oscillating Systems
The particular properties of synchronization are discussed for coupled auto-oscillating systems, which are characterized by non-quadratic law of potential dependence on the coordinate. In particular, structure of the parameter plane (frequency mismatch – coupling value) is considered for coupled van der Pol – Duffing oscillators. The arrangement of synchronization tongues and the particular pro...
متن کاملAmplitude envelope synchronization in coupled chaotic oscillators.
A peculiar type of synchronization has been found when two Van der Pol-Duffing oscillators, evolving in different chaotic attractors, are coupled. As the coupling increases, the frequencies of the two oscillators remain different, while a synchronized modulation of the amplitudes of a signal of each system develops, and a null Lyapunov exponent of the uncoupled systems becomes negative and grad...
متن کاملSynchronization of four coupled van der Pol oscillators
It is possible that self-excited vibrations in turbine blades synchronize due to elastic coupling through the shaft. In this context, the synchronization of four coupled van der Pol oscillators is studied here. For quasilinear oscillations, a stability condition is derived from an analysis based on linearizing the original equation around an unperturbed limit cycle and transforming it into Hill...
متن کاملDynamic Hebbian learning in adaptive frequency oscillators
Nonlinear oscillators are widely used in biology, physics and engineering for modeling and control. They are interesting because of their synchronization properties when coupled to other dynamical systems. In this paper, we propose a learning rule for oscillators which adapts their frequency to the frequency of any periodic or pseudo-periodic input signal. Learning is done in a dynamic way: it ...
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:
دوره شماره
صفحات -
تاریخ انتشار 2006