Chaotic period-doubling and OGY control for the forced Duffing equation

Date

2012-04-01

Author

Akhmet, Marat

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In this paper we consider the Duffing equation forced with a pulse function, whose moments of discontinuity depend on the initial data. Existence of the chaos through period-doubling cascade is proved, and the OGY control method is used to stabilize the periodic solutions. Appropriate simulations of the chaos and stabilized periodic solutions are presented.

Subject Keywords

Duffing equation, Period-doubling cascade, OGY control method, Chaotic attractor, Lyapunov exponents, Pulse functions

URI

https://hdl.handle.net/11511/46776

Journal

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

DOI

https://doi.org/10.1016/j.cnsns.2011.09.016

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Chaotic period-doubling and OGY control for the forced Duffing equation,” COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, pp. 1929–1946, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46776.