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Sharma, A., Patidar, V., Purohit, G. and Sud, K.K. (2012) Effects on the Bifurcation and Chaos in Forced Duffing Oscillator Due to Nonlinear Damping. Communications in Nonlinear Science and Numerical Simulation, 17, 2254-2269.
http://dx.doi.org/10.1016/j.cnsns.2011.10.032

has been cited by the following article:

• TITLE: Super-Twisting Control of the Duffing-Holmes Chaotic System

  AUTHORS: Fayiz Abu Khadra

  KEYWORDS: Duffing-Holmes Chaotic System Super-Twisting Controller, Disturbance, Robustness

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.5 No.4, November 10, 2016

  ABSTRACT: In this paper, a super twisting controller (STC) is designed to control the chaotic behavior of the Duffing-Holmes system in stabilization and tracking cases. Due to lack of availability of the performance evaluation of STC in controlling Duffing-Holmes system, this paper aims to test the performance of STC in controlling Duffing-Holmes system. In order to achieve this control design, a modification of the conventional super twisting algorithm is adapted. Numerical simulations showed that the modified STC had high performance and ability to ensure robustness with respect to bounded external disturbances.