Chemistry and Physics Faculty Articles

Title

Characterization of the Rössler System in Parameter Space

Document Type

Article

Publication Date

1-2006

Publication Title

Dynamic Days 2006: Bethesda MD

Abstract

We characterize the Rössler system by means of a map associating colors to various intervals of largest Lyapunov exponent values in parameter space. This color map allows quick access to quantitative information about the dynamics of the system. The map also permits parameter space navigation while intentionally maintaining the system in a desired state and avoiding regions where the system’s behavior would be undesirable. In addition, the map exhibits a rich structure of stability clusters composed of affine-similar repetitions of basic elementary cells.

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