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Algorithms for Controlling chaos: Application to BVP Oscillator

Published online by Cambridge University Press:  12 April 2016

S. Rajeskar*
Affiliation:
Senior Research Fellow, Dept.of Physics, Bharathidasan University, Tiruchirapallin - 620024, Tamilnadu

Abstract

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We discuss how chaotic dynamics can be converted into regular motion in Bonhoeffer-van der Pol oscillator. Using a control signal proportional to the actual and desired outputs we study the control of fixed points and limit cycles by making time-dependent perturbations of amplitude of external force. We show the round-off induced periodicity in the digital computer simulations of orbits on chaotic attractor. We illustrate the stabilization of unstable periodic or bits by adding periodic pulses of small magnitude.