Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2009-08-06
Nonlinear Sciences
Chaotic Dynamics
24 pages, 13 figures. To appear in Phil. Trans. R. Soc. A (special theme issue to accompany 2009 International Workshop on Del
Scientific paper
We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The oscillator uses electrooptic modulation and fibre-optic transmission, with feedback and filtering implemented through real-time digital-signal processing. We consider two such oscillators that are coupled to one another, and we identify the conditions under which they will synchronize. By examining the rates of divergence or convergence between two coupled oscillators, we quantify the maximum Lyapunov exponents or transverse Lyapunov exponents of the system, and we present an experimental method to determine these rates that does not require a mathematical model of the system. Finally, we demonstrate a new adaptive control method that keeps two oscillators synchronized even when the coupling between them is changing unpredictably.
Cohen Adam B.
Murphy Thomas E.
Ott Edward
Ravoori Bhargava
Roy Rajarshi
No associations
LandOfFree
Complex Dynamics and Synchronization of Delayed-Feedback Nonlinear 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 Complex Dynamics and Synchronization of Delayed-Feedback Nonlinear Oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex Dynamics and Synchronization of Delayed-Feedback Nonlinear Oscillators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-706544