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- Title
STRONG CHAOS IN A FORCED NEGATIVE CONDUCTANCE SERIES LCR CIRCUIT.
- Authors
Thamilmaran, K.; Senthilkumar, D. V.; Lakshmanan, M.; Ahamed, A. Ishaq
- Abstract
A negative conductance forced LCR circuit exhibiting strong chaos via the torus breakdown route as well as period-doubling route is described. The strong chaoticity is evidenced by the high value of the largest Lyapunov exponent and statistical studies. The dual nature of this circuit exhibiting the rich dynamics of both the Murali–Lakshmanan–Chua (MLC) circuit [Murali et al., 1994] and the circuit due to Inaba and Mori [1991] is also explored. The performance of the circuit is investigated by means of laboratory experiments, PSpice circuit simulation, numerical integration of appropriate mathematical model and explicit analytical studies, which all agree well with each other.
- Subjects
CHAOS theory; NONLINEAR electric circuits; ELECTRONIC circuits; BIFURCATION theory; TORUS; NUMERICAL integration; NUMERICAL analysis; MATHEMATICAL models
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2005, Vol 15, Issue 2, p637
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127405012259