Spiral periodic structure inside chaotic region in parameter‐space of a Chua circuit |
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Authors: | Holokx A. Albuquerque Paulo C. Rech |
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Affiliation: | Departamento de Física, Universidade do Estado de Santa Catarina, 89223‐100 Joinville, Brazil |
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Abstract: | In this letter we investigate, via numerical simulations, the parameter‐space of the set of autonomous first‐order differential equations of a Chua circuit. We show that this parameter‐space presents self‐organized periodic structures immersed in a chaotic region, forming a single spiral structure that coils up around a focal point. Additionally, bifurcation diagrams are used to show that those periodic structures also organize themselves in period‐adding cascades, along specific directions that point towards this same focal point. Copyright © 2010 John Wiley & Sons, Ltd. |
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Keywords: | Chua circuit spiral structure parameter‐space Lyapunov exponents |
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