Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
Copyright policy )Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps. This reveals in a quantitative way the complexity of the dynamics determined by such maps.
- University of Picardie Jules Verne France
- University of Paris-Saclay France
- Queens College, CUNY United States
- King’s University United States
- Craig Newmark Graduate School of Journalism at the City University of New York United States
Dynamical systems involving maps of the interval, Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc., Thermodynamic formalism, variational principles, equilibrium states for dynamical systems, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Dynamical systems involving maps of the interval, Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc., Thermodynamic formalism, variational principles, equilibrium states for dynamical systems, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!