Paper Info
Title
Another New Chaotic System: Bifurcation And Chaos Control
Abstract
We propose a new simple three-dimensional continuous autonomous model with two nonlinear terms and observe the dynamical behavior with respect to system parameters. This system changes the stability of fixed point via Hopf bifurcation and then undergoes a cascade of period-doubling route to chaos. We analytically derive the first Lyapunov coefficient to investigate the nature of Hopf bifurcation. We investigate well-separated regions for different kinds of attractors in the two-dimensional parameter space. Next, we introduce a timescale ratio parameter and calculate the slow manifold using geometric singular perturbation theory. Finally, the chaotic state annihilates by decreasing the value of the timescale ratio parameter.
Year
DOI
Venue
2020
10.1142/S0218127420501618
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Chaos, Hopf bifurcation, first Lyapunov coefficient, slow-fast dynamics
Journal
30
Issue
ISSN
Citations 
11
0218-1274
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Ray Arnob100.34
Dibakar Ghosh294.75