Journal ArticleDOI
Bifurcation and chaos in the simplest dissipative non-autonomous circuit
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TLDR
In this article, a detailed investigation of the bifurcation and chaos phenomenon associated with the simplest sinusoidally driven dissipative second-order circuit made up of three linear circuit elements and a Chua's diode is presented.Abstract:
We present a detailed investigation of the bifurcation and chaos phenomenon associated with the simplest sinusoidally driven dissipative second-order circuit made up of three linear circuit elements and a Chua’s diode. Unlike other non-autonomous second-order chaotic circuits whose nonlinear element is a nonlinear capacitor/inductor, the Chua’s diode of this circuit is a nonlinear resistor, and is therefore simpler from a circuit theoretic point of view. The chaotic dynamics of this circuit is confirmed both by experiments and by computer simulation of the circuit model.read more
Citations
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Journal ArticleDOI
Birth of strange nonchaotic attractors through type III intermittency
TL;DR: In this article, a new route and associated mechanism for the creation of a strange non-chaotic attractor during the transition from two-frequency quasiperiodicity to a chaotic attractor through torus doubling bifurcation in quasipersynthically forced systems was described.
Journal ArticleDOI
Classification of bifurcations and routes to chaos in a variant of murali–lakshmanan–chua circuit
TL;DR: It is pointed out that under the influence of a periodic excitation a rich variety of bifurcation phenomena, including the familiar period-doubling sequence, intermittent and quasiperiodic routes to chaos as well as period-adding sequences, occur in this circuit.
Journal ArticleDOI
Nonsmooth Bifurcations, Transient Hyperchaos and Hyperchaotic Beats in a Memristive Murali-Lakshmanan-Chua Circuit
A. Ishaq Ahamed,M. Lakshmanan +1 more
TL;DR: A memristive Murali–Lakshmanan–Chua (MLC) circuit is built by replacing the nonlinear element of an ordinary MLC circuit with a three-segment piecewise-linear active flux controlled memristor, which introduces two discontinuity boundaries or switching manifolds in the circuit topology.
Journal ArticleDOI
Nonsmooth bifurcations, transient hyperchaos and hyperchaotic beats in a memristive murali–lakshmanan–chua circuit
A. Ishaq Ahamed,M. Lakshmanan +1 more
TL;DR: In this article, a memristive Murali-Lakshmanan-Chua (MLC) circuit is built by replacing the nonlinear element of an ordinary MLC circuit, namely the Chua's diode, with a three-segment piecewise-linear active flux controlled memristor.
Book
A Practical Guide for Studying Chua's Circuits
TL;DR: This book aims to present some hardware and software-based design and implementation approaches on Chua's circuits with interesting application domain examples by collecting and reworking the authors' previously published works and provides new educational insights for practicing chaotic dynamics in a systematic way in science and engineering undergraduate and graduate education programs.