JOURNAL OF NONLINEAR SCIENCE, vol.24, no.3, pp.411-439, 2014 (SCI-Expanded)
Article / Article
JOURNAL OF NONLINEAR SCIENCE
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Limit cycle, Sensitivity, Period-doubling cascade, Hopf bifurcation, Toroidal attractor, Chua's oscillator, Chaos control, GENERALIZED SYNCHRONIZATION, HOPF-BIFURCATION, DYNAMICAL SYNTHESIS, DUFFING EQUATION, SYSTEMS, BEHAVIOR, MODEL, OSCILLATORS, STABILITY, ROUTES
TED University Affiliated:
A new phenomenon, the entrainment of limit cycles by chaos, which results from the appearance of cyclic irregular behavior, is discussed. In this study, sensitivity is considered as the main ingredient of chaos to be captured, and the period-doubling cascade is chosen for extension. Theoretical results are supported by simulations and discussions regarding Chua's oscillators, entrainment of toroidal attractors by chaos, synchronization, and controlling problems. It is demonstrated that the entrainment cannot be considered as generalized synchronization of chaotic systems.