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Chaotic period-doubling and OGY control for the forced Duffing equation
Date
2012-04-01
Author
Akhmet, Marat
Metadata
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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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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.