Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.2208566
Title: Effect of resonant-frequency mismatch on attractors
Authors: Wang, X. 
Lai, Y.-C.
Lai, C.H. 
Issue Date: 2006
Citation: Wang, X., Lai, Y.-C., Lai, C.H. (2006). Effect of resonant-frequency mismatch on attractors. Chaos 16 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2208566
Abstract: Resonant perturbations are effective for harnessing nonlinear oscillators for various applications such as controlling chaos and inducing chaos. Of physical interest is the effect of small frequency mismatch on the attractors of the underlying dynamical systems. By utilizing a prototype of nonlinear oscillators, the periodically forced Duffing oscillator and its variant, we find a phenomenon: resonant-frequency mismatch can result in attractors that are nonchaotic but are apparently strange in the sense that they possess a negative Lyapunov exponent but its information dimension measured using finite numerics assumes a fractional value. We call such attractors pseudo-strange. The transition to pesudo-strange attractors as a system parameter changes can be understood analytically by regarding the system as nonstationary and using the Melnikov function. Our results imply that pseudo-strange attractors are common in nonstationary dynamical systems. © 2006 American Institute of Physics.
Source Title: Chaos
URI: http://scholarbank.nus.edu.sg/handle/10635/96336
ISSN: 10541500
DOI: 10.1063/1.2208566
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