RIGOROUS NUMERICAL ESTIMATION OF LYAPUNOV EXPONENTS AND INVARIANT MEASURES OF ITERATED FUNCTION SYSTEMS AND RANDOM MATRIX PRODUCTS

DOI10.1142/S0218127400000062zbMath1090.37560WikidataQ59139598 ScholiaQ59139598MaRDI QIDQ5474056

Kazuyuki Aihara, Gary Froyland

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Fractals (28A80) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (4)

Stability and approximation of invariant measures of Markov chains in random environments ⋮ Polynomial stochastic dynamical indicators ⋮ A COMPUTATIONAL ERGODIC THEOREM FOR INFINITE ITERATED FUNCTION SYSTEMS ⋮ Algorithms for approximation of invariant measures for IFS

Cites Work

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• Random matrix products and measures on projective spaces
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• A MULTIFRACTAL ANALYSIS OF IFSP INVARIANT MEASURES WITH APPLICATION TO FRACTAL IMAGE GENERATION
• An ergodic theorem for iterated maps
• A new class of markov processes for image encoding
• A MATRIX METHOD FOR APPROXIMATING FRACTAL MEASURES
• An adaptive subdivision technique for the approximation of attractors and invariant measures

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