Lyapunov instability versus relaxation time in two coupled oscillators
نویسندگان
چکیده
منابع مشابه
Dynamics of a model of two delay-coupled relaxation oscillators
Article history: Received 26 August 2009 Accepted 4 September 2009 Available online 10 September 2009
متن کاملStochastic multiresonance in the coupled relaxation oscillators.
We study the noise-dependent dynamics in a chain of four very stiff excitable oscillators of the FitzHugh-Nagumo type locally coupled by inhibitor diffusion. We could demonstrate frequency- and noise-selective signal acceptance which is based on several noise-supported stochastic attractors that arise owing to slow variable diffusion between identical excitable elements. The attractors have dif...
متن کاملA Numerical Investigation of the Dynamics of a System of Two Time-delay Coupled Relaxation Oscillators
In this paper we examine the dynamics of two time-delay coupled relaxation oscillators of the van der Pol type. By integrating the governing differential-delay equations numerically, we find the various phase-locked motions including the in-phase and out-of-phase modes. Our computations reveal that depending on the strength of coupling (α) and the amount of time-delay (τ), the in-phase (out-of-...
متن کاملUniversal scaling of Lyapunov exponents in coupled chaotic oscillators.
We have uncovered a phenomenon in coupled chaotic oscillators where a subset of Lyapunov exponents, which are originally zero in the absence of coupling, can become positive as the coupling is increased. This occurs for chaotic attractors having multiple scrolls, such as the Lorenz attractor. We argue that the phenomenon is due to the disturbance to the relative frequencies with which a traject...
متن کاملPhase locking in networks of synaptically-coupled McKean relaxation oscillators
We use geometric dynamical systems methods to derive phase equations for networks of weakly connected McKean relaxation oscillators. We derive an explicit formula for the connection function when the oscillators are coupled with chemical synapses modeled as the convolution of some input spike train with an appropriate synaptic kernel. The theory allows the systematic investigation of the way in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2006
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.73.016204