COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.17, no.4, pp.1929-1946, 2012 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Duffing equation, Period-doubling cascade, OGY control method, Chaotic attractor, Lyapunov exponents, Pulse functions, SYNCHRONIZATION, BIFURCATIONS, DYNAMICS, OSCILLATOR, FEEDBACK, SPECTRA, SYSTEM, ORBITS
TED University Affiliated:
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. (C) 2011 Elsevier B.V. All rights reserved.