DEFINITION AND APPLICATIONS OF THE ASCENT-PROBABILITY DISTRIBUTION IN ONE-DIMENSIONAL MAPS

DOI10.1142/S0218127409025018zbMath1182.37001MaRDI QIDQ5305146

George Livadiotis

Publication date: 19 March 2010

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

zbMATH Keywords

rotation numberunimodal mapsinvariant densityperiodic windowsLyapunov characteristic numbermap reconstructioneventually fixed points

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Dynamical systems involving maps of the interval (37E05) Random dynamical systems (37H99) Rotation numbers and vectors (37E45)

Related Items (2)

Invariant Spectra in N-Coupled Standard Maps ⋮ Nonlinear thermodynamical formalism

Cites Work

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• A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties
• Collapsing of chaos in one dimensional maps
• Statistical properties of unimodal maps: The quadratic family
• On finite limit sets for transformations on the unit interval
• The rotation number in one-dimensional maps: definition and applications
• New order for periodic orbits of interval maps
• A Turning Point Analysis of the Ergodic Dynamics of Iterative Maps
• ROBUST CHAOS IN POLYNOMIAL UNIMODAL MAPS
• Invariant spectra of orbits in dynamical systems
• NUMERICAL APPROXIMATION OF THE PERCENTAGE OF ORDER FOR ONE-DIMENSIONAL MAPS

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