| Full text | |
| Author(s): |
Grzybowski, J. M. V.
;
Macau, E. E. N.
;
Yoneyama, T.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICA D-NONLINEAR PHENOMENA; v. 346, p. 28-36, MAY 1 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
This paper presents a self-contained framework for the stability assessment of isochronal synchronization in networks of chaotic and limit-cycle oscillators. The results were based on the Lyapunov-Krasovskii theorem and they establish a sufficient condition for local synchronization stability of as a function of the system and network parameters. With this in mind, a network of mutually delay-coupled oscillators subject to direct self-coupling is considered and then the resulting error equations are block-diagonalized for the purpose of studying their stability. These error equations are evaluated by means of analytical stability results derived from the Lyapunov-Krasovskii theorem. The proposed approach is shown to be a feasible option for the investigation of local stability of isochronal synchronization for a variety of oscillators coupled through linear functions of the state variables under a given undirected graph structure. This ultimately permits the systematic identification of stability regions within the high dimensionality of the network parameter space. Examples of applications of the results to a number of networks of delay-coupled chaotic and limit-cycle oscillators are provided, such as Lorenz, Rossler, Cubic Chua's circuit, Van der Pol oscillator and the Hindmarsh-Rose neuron. (C) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications |
| Grantee: | Elbert Einstein Nehrer Macau |
| Support type: | Research Projects - Thematic Grants |