Rich variety of bifurcations and chaos in a variant of Murali-Lakshmanan-Chua circuit

Citation
K. Thamilmaran et al., Rich variety of bifurcations and chaos in a variant of Murali-Lakshmanan-Chua circuit, INT J B CH, 10(7), 2000, pp. 1781-1785
Citations number
9
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
10
Issue
7
Year of publication
2000
Pages
1781 - 1785
Database
ISI
SICI code
0218-1274(200007)10:7<1781:RVOBAC>2.0.ZU;2-R
Abstract
A very simple nonlinear parallel nonautonomous LCR circuit with Chua's diod e as its only nonlinear element, exhibiting a rich variety of dynamical fea tures, is proposed as a variant of the simplest nonlinear nonautonomous cir cuit introduced by Murali, Lakshmanan and Chua (MLC). By constructing a two -parameter phase diagram in the (F-omega) plane, corresponding to the forci ng amplitude (F) and frequency (omega), we identify, besides the familiar p eriod-doubling scenario to chaos, intermittent and quasiperiodic routes to chaos as well as period-adding sequences, Farey sequences, and so on. The c haotic dynamics is verified by both experimental as well as computer simula tion studies including PSPICE.