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1994•International Journal of Bifurcation and ChaosRequires access

KNOTTED PERIODIC ORBITS IN CHUA’S CIRCUIT

L. Kocarev, Žarko Tasev, Dončo Dimovski, Leon Ong Chua

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Abstract

Induced templates for two members of Chua’s attractors: spiral-type and double-scroll chaotic attractors are computed using the orbits of lower period. The template describes the topological properties of periodic orbits embedded in the attractor. It is identified by a set of integers which characterize the attractor. The templates are confirmed by investigating orbits of higher period.

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What this paper is about

Induced templates for two members of Chua’s attractors: spiral-type and double-scroll chaotic attractors are computed using the orbits of lower period. The template describes the topological properties of periodic orbits embedded in the attractor. It is identified by a set of integers which characterize the attractor. The templates are confirmed by investigating orbits of higher period.

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Available abstract

Induced templates for two members of Chua’s attractors: spiral-type and double-scroll chaotic attractors are computed using the orbits of lower period. The template describes the topological properties of periodic orbits embedded in the attractor. It is identified by a set of integers which characterize the attractor. The templates are confirmed by investigating orbits of higher period.

Key concepts: Attractor, Periodic orbits, Topology (electrical circuits), Chaotic, Chua's circuit, Period (music), Crisis, Mathematics

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