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Hopf-bifurcation-delay-induced bursting patterns in a modified circuit system.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Jul2016, Vol. 36, p517-527. 11p. - Publication Year :
- 2016
-
Abstract
- Based on Hopf bifurcation delay, we present two novel delay-induced bursting patterns in a modified van der Pol-Duffing circuit system. These delay-induced bursting patterns are classified as compound “delayed supHopf/fold cycle-subHopf/supHopf” bursting and “subHopf/supHopf” bursting via “delayed supHopf/supHopf” hysteresis loop, respectively. Our results show that Hopf bifurcation delay plays a decisive role in the generation of these two bursting patterns, which enriches the routes to bursting and deepens the understanding of underlying mechanisms of bursting. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 36
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 112908475
- Full Text :
- https://doi.org/10.1016/j.cnsns.2016.01.001