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Evaluating the attractor dimension of a nonlinear oscillator

Research paper by E. P. Seleznev, A. M. Zakharevich

Indexed on: 01 Mar '04Published on: 01 Mar '04Published in: Technical Physics Letters



Abstract

The correlation dimension of a chaotic attractor of a nonautonomous nonlinear oscillator with variable control parameters is evaluated from experimental data. The dimension of a critical attractor shows good agreement with theoretical data. As the amplitude of the external action is varied, the chaotic attractor exhibits evolution such that the correlation dimension increases from a minimum value, determined by the properties of the critical attractor, to the nearest integer.