Stability index, uncertainty exponent, and thermodynamic formalism for intermingled basins of chaotic attractors

Keller G (2017)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2017

Journal

Book Volume: 10

Pages Range: 313-334

Journal Issue: 2

DOI: 10.3934/dcdss.2017015

Abstract

Skew product systems with monotone one-dimensional fibre maps driven by piecewise expanding Markov interval maps may show the phenomenon of intermingled basins. To quantify the degree of intermingledness the uncertainty exponent and the stability index were suggested by various authors and characterized (partially). Here we present an approach to evaluate/estimate these two quantities rigorously using thermodynamic formalism for the driving Markov map.

Authors with CRIS profile

How to cite

APA:

Keller, G. (2017). Stability index, uncertainty exponent, and thermodynamic formalism for intermingled basins of chaotic attractors. AIMS Journal, 10(2), 313-334. https://dx.doi.org/10.3934/dcdss.2017015

MLA:

Keller, Gerhard. "Stability index, uncertainty exponent, and thermodynamic formalism for intermingled basins of chaotic attractors." AIMS Journal 10.2 (2017): 313-334.

BibTeX: Download