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Uchechukwu E. Vincent^a, , Abdulahi N. Njah^b and John A. Laoye^a

^aNonlinear and Statistical Physics Research Group, Department of Physics, Olabisi Onabanjo University, P.M.B. 2002, Ago-Iwoye, Nigeria

^bDepartment of Physics, College of Natural Sciences, University of Agriculture, Abeokuta, Nigeria

Received 4 November 2006;

revised 16 February 2007;

accepted 26 April 2007.

Communicated by A. Pikovsky.

Available online 3 May 2007.

Abstract

We address the problem of controlling chaotic motion and deterministic directed transport in inertia ratchets. We employ a recursive backstepping nonlinear control technique to control intermittent chaos and then track a desired trajectory by means of the same technique. For the parameter regime where two non-identical attractors coexist in phase space, we propose a new backstepping control scheme that is capable of controlling the directed transport exhibited by these attractors. Numerical simulations show that the controllers are singularity free and the closed-loop systems are globally stable.

 

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