Chua's circuit is a physical system which can be used to investigate chaotic processes. One of its identifying features is the ability to produce a huge variety of strange attractors, each with its own characteristic form, size and model. These characteristics extend to a range of different systems derived from the original circuit. In the first paper A Gallery of Chua's Attractors. Part I, we presented physical circuits and some generalizations based on Chua's oscillator, together with techniques for building the circuit and a summary description of its chaotic behavior. In this second part of our work, we present an overview of forms which can only be produced by the physical circuit, using novel techniques of scientific visualization to explore, discover, analyze and validate our large collection of data. Starting with cases already known in the literature, we show that the circuit can produce an infinite set of three-dimensional patterns. A small sample is included in our paper. More specifically, we present 195 strange attractors generated by the circuit. For each attractor we provide three-dimensional images, time series and FFTs. Finally, we provide Lyapunov exponents for a subset of "base attractors".

A gallery of Chua attractors: Part II

BILOTTA, Eleonora;PANTANO, Pietro Salvatore;
2007

Abstract

Chua's circuit is a physical system which can be used to investigate chaotic processes. One of its identifying features is the ability to produce a huge variety of strange attractors, each with its own characteristic form, size and model. These characteristics extend to a range of different systems derived from the original circuit. In the first paper A Gallery of Chua's Attractors. Part I, we presented physical circuits and some generalizations based on Chua's oscillator, together with techniques for building the circuit and a summary description of its chaotic behavior. In this second part of our work, we present an overview of forms which can only be produced by the physical circuit, using novel techniques of scientific visualization to explore, discover, analyze and validate our large collection of data. Starting with cases already known in the literature, we show that the circuit can produce an infinite set of three-dimensional patterns. A small sample is included in our paper. More specifically, we present 195 strange attractors generated by the circuit. For each attractor we provide three-dimensional images, time series and FFTs. Finally, we provide Lyapunov exponents for a subset of "base attractors".
Chua oscillator; chaotic dynamics; visualization
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/134902
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