A harmonic balance approach for chaos prediction: Chua’s circuit. (English) Zbl 0874.94042

Genesio, R.; Tesi, A.

Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, No. 1, 61-79 (1992).

Summary: The paper proposes a practical engineering approach for predicting chaotic dynamics in an important class of nonlinear systems. The aim of this approach is to provide a heuristic method of analysis which can give reasonably accurate answers but is far simpler to apply than other more rigorous methods based on nonlinear dynamics. Our approach is founded on the harmonic balance principle and uses standard describing function techniques well known to design engineers.

MSC:

94C05	Analytic circuit theory
37N99	Applications of dynamical systems

Keywords:

chaos prediction; Chua’s circuit; chaotic dynamics; nonlinear systems