Title :
Predicting chaos through an harmonic balance technique: an application to the time-delayed Chua´s circuit
Author :
Gilli, Marco ; Maggio, Gian Mario
Author_Institution :
Dipartimento di Elettronica, Politecnico di Torino, Italy
fDate :
10/1/1996 12:00:00 AM
Abstract :
The time-delayed Chua´s circuit (TDCC) can be considered as a paradigm for studying chaos in circuits described by difference-differential equations. The dynamics of such circuits cannot be investigated by means of the standard time-domain techniques developed for finite dimensional systems. We show that through a spectral approach the occurrence of periodic limit cycles and of chaotic attractors can be easily predicted, without performing any simulations
Keywords :
Chua´s circuit; chaos; delay circuits; difference equations; limit cycles; nonlinear network analysis; chaos prediction; chaotic attractors; difference-differential equations; harmonic balance technique; periodic limit cycles; time-delayed Chua circuit; Capacitors; Cellular neural networks; Chaos; Chaotic communication; Circuit simulation; Delay systems; Difference equations; Differential equations; Nonlinear equations; Predictive models;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
