Shil’nikov Chaos and Mixed-Mode Oscillation in Chua Circuit
IR@IICB: CSIR-Indian Institute of Chemical Biology, Kolkata
View Archive Info| Field | Value | |
| Title |
Shil’nikov Chaos and Mixed-Mode Oscillation in Chua Circuit
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| Creator |
Chakraborty, Satyabrata
Dana, Syamal Kumar |
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| Subject |
Nonlinear Dynamics
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| Description |
Homoclinic bifurcation is at the origin of chaos in nonlinear dynamical system. It reveals the fundamental stretching and folding behaviors of chaos. It is always interesting to study this bifurcation and to explore the transition route to homoclinic chaos via mixed-mode oscillation (MMO). It helps understanding the fundamentals of chaos. Exploring such complex behaviors in simple electronic experiment is of academic interest in the laboratory. In this work, an asymmetry is induced in Chua circuit by forcing a dc voltage to investigate Shil’nikov-type homoclinic chaos. Most interestingly, the asymmetry effect is also induced in a Chua oscillator by coupling another oscillator kept in resting state. This observation has special significance in the context of biological systems. It is often found in an assembly of biological cells or neurons as dynamical units that some of them are in a firing state or oscillatory mode while others are in a resting state, which is possibly one of the mechanisms of chaotic spiking and bursting in neuron dynamics.
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| Date |
2010
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| Type |
Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://www.eprints.iicb.res.in/991/1/45_chaos_2010.pdf
Chakraborty, Satyabrata and Dana, Syamal Kumar (2010) Shil’nikov Chaos and Mixed-Mode Oscillation in Chua Circuit. CHAOS, 20 (2). |
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| Relation |
http://dx.doi.org/10.1063/1.3378112
http://www.eprints.iicb.res.in/991/ |
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