Synchronization in chaotic systems by a threshold based coupling using the Poincaré plane Chapter uri icon

abstract

  • Synchronization of dynamical systems with chaotic behavior results from discrete time events regarding a coupling based on thresholds by means of the Poincaré Plane. The coupling is carried out by a signal which can be adjusted according to the specification of the problem. Generally, for bioinspired dynamical systems an underdamped signal which perturbs the coupled systems in brief moments of time is required. This signal is triggered every crossing event of the trajectory of an observed master system through a previously defined and located Poincaré plane. The auxiliary system approach along with the maximum conditional Lyapunov exponent are implemented in order to detect synchronization among the coupled systems. The systems under study correspond to some classical benchmark systems such as the Lorenz and Rössler systems, along with some bioinspired mathematical models based on the pancreatic beta cell. © 2017 by Nova Science Publishers, Inc.

publication date

  • 2017-01-01