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CHARACTERISATION OF CHAOS IN CHUA'S OSCILLATOR IN TERMS OF UNSTABLE PERIODIC ORBITS

1993; World Scientific; Volume: 03; Issue: 02 Linguagem: Inglês

10.1142/s0218126693000253

1793-6454

Maciej Ogorzałek, Zbigniew Galias,

Chaos control and synchronization

We present a picture book of unstable periodic orbits embedded in typical chaotic attractors found in the canonical Chua's circuit. These include spiral Chua's, double-scroll Chua's and double hook attractors. The "skeleton" of unstable periodic orbits is specific for the considered attractor and provides an invariant characterisation of its geometry.