Simple 4d – Hyperchaotic Canonical Van der pol Duffing Oscillator using Current Feedback Op-Amp

  • G. Kandiban1, S. Manimaran2 and V. Balachandran3*

Abstract

In this paper, in order to show some interesting phenomena of fourth-order hyperchaotic Canonical Van der Pol Duffing oscillator circuit with a smooth cubic nonlinearity, different kinds of attractors, time waveforms and corresponding Lyapunov exponent spectra of systems are presented, respectively. The perturbation transforms an unpredictable hyperchaotic behavior into a predictable hyperchaotic or periodic motion via stabilization of unstable, aperiodic, or periodic orbits of the strange hyperchaotic attractor. One advantage of the method is its robustness against noise. A theoretical analysis of the circuit equations is presented, along with experimental simulation and numerical results.

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Author Biography

G. Kandiban1, S. Manimaran2 and V. Balachandran3*
1Department of Physics, Thanthai Hans Roever College, Perambalur - 621 212, India2Department of Physics, Roever Engineering College, Perambalur- 621 212, India3Department of Physics, A. A Government Arts College, Musiri, Tiruchirappalli -621 201, India
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How to Cite
Balachandran3*G. K. S. M. and V. “Simple 4d – Hyperchaotic Canonical Van Der Pol Duffing Oscillator Using Current Feedback Op-Amp”. Recent Research in Science and Technology, Vol. 3, no. 1, Dec. 2010, https://updatepublishing.com/journal/index.php/rrst/article/view/583.
Section
Physics