Generalized synchronization on the onset of auxiliary system approach
Article Type
Research Article
Publication Title
Chaos
Abstract
Generalized synchronization is an emergent functional relationship between the states of the interacting dynamical systems. To analyze the stability of a generalized synchronization state, the auxiliary system technique is a seminal approach that is broadly used nowadays. However, a few controversies have recently arisen concerning the applicability of this method. In this study, we systematically analyze the applicability of the auxiliary system approach for various coupling configurations. We analytically derive the auxiliary system approach for a drive-response coupling configuration from the definition of the generalized synchronization state. Numerically, we show that this technique is not always applicable for two bidirectionally coupled systems. Finally, we analytically derive the inapplicability of this approach for the network of coupled oscillators and also numerically verify it with an appropriate example.
DOI
10.1063/5.0030772
Publication Date
11-1-2020
Recommended Citation
Rakshit, Sarbendu and Ghosh, Dibakar, "Generalized synchronization on the onset of auxiliary system approach" (2020). Journal Articles. 71.
https://digitalcommons.isical.ac.in/journal-articles/71