Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-01-19
Nonlinear Sciences
Chaotic Dynamics
To appear on Nonlinear Dynamics, 2010
Scientific paper
10.1007/s11071-009-9648-z
We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit cycles van der Pol oscillators. Such model represents, for instance, coherent oscillations in biological systems through the case of an enzymatic-substrate reaction with ferroelectric behavior in brain waves model. The ring and open-ended chain of identical and non-identical oscillators are considered separately. By using the Master Stability Function approach (for the identical case) and the complex Kuramoto order parameter (for the non-identical case), we derive the stability boundaries of the synchronized manifold. We have found that synchronization occurs in a system of many coupled modified van der Pol oscillators and it is stable even in presence of a spread of parameters.
Enjieu Kadji H. G.
Filatrella Giovanni
Yamapi R.
No associations
LandOfFree
Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-635886