STOCHASTIC ANALYSIS OF THE ZIGZAG MAP

Michaël A. van Wyk and Willi-Hans Steeb
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Michaël A. van Wyk: Department of Electrical and Electronic Engineering, Rand Afrikaans University, Auckland Park 2006, South Africa
Willi-Hans Steeb: International School for Scientific Computing, Rand Afrikaans University, Auckland Park 2006, South Africa;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 03, 397-403

Abstract: We present a stability and stochastic analysis of the zigzag map which describes the dynamical behavior of an electrical switching circuit. Analytical expressions are derived for the invariant density and the corresponding Lyapunov exponent for specific parameter values.

Keywords: Chaos; stochastic analysis; zigzag map; Frobenius–Perron operator (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004553

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