An Optimization Approach for Finding a Spectrum of Lyapunov Exponents

Panos M. Pardalos (), Vitaliy A. Yatsenko (), Alexandre Messo (), Altannar Chinchuluun () and Petros Xanthopoulos ()
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Panos M. Pardalos: University of Florida
Vitaliy A. Yatsenko: University of Florida
Alexandre Messo: Kungliga Tekniska Högskolan
Altannar Chinchuluun: University of Florida
Petros Xanthopoulos: University of Florida

Chapter Chapter 16 in Computational Neuroscience, 2010, pp 285-303 from Springer

Abstract: Abstract In this chapter, we consider an optimization technique for estimating the Lyapunov exponents from nonlinear chaotic systems. We then describe an algorithm for solving the optimization model and discuss the computational aspects of the proposed algorithm. To show the efficiency of the algorithm, we apply it to some well-known data sets. Numerical tests show that the algorithm is robust and quite effective, and its performance is comparable with that of other well-known algorithms.

Keywords: Lyapunov Exponent; Temporal Lobe Epilepsy; Strange Attractor; Lorenz System; Large Lyapunov Exponent (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-88630-5_16

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DOI: 10.1007/978-0-387-88630-5_16

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