“Stickiness” in mappings and dynamical systems (original) (raw)

Stickiness in Chaos

Mirella Harsoula

International Journal of Bifurcation and Chaos, 2008

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Stickiness effects in chaos

Mirella Harsoula

Celestial Mechanics and Dynamical Astronomy, 2010

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Spatially Chaotic Structures

Rolf Schilling

Nonlinear Dynamics in Solids, 1992

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Extreme fractal structures in chaotic mechanical systems: riddled basins of attraction

Ricardo Viana

Journal of Physics: Conference Series, 2010

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Bifurcations and Periodic Orbits in Chaotic Maps

Krzysztof Stefański

Open Systems & Information Dynamics (OSID), 2001

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Fractalization of a torus as a strange nonchaotic attractor

Kunihiko Kaneko

Physical Review E, 1996

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Chaotic trajectories in the standard map. The concept of anti-integrability

G. Abramovici, Serge Aubry

Physica D: Nonlinear Phenomena, 1990

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Discontinuous pattern of cumulative separation between orbits of chaotic transient

Vladimir Paar

Physics Letters a, 1997

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Area-preserving mappings and deterministic chaos for nearly parabolic motions

Tomio Petrosky

Celestial Mechanics, 1987

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Unstable periodic orbits and the dimensions of multifractal chaotic attractors

Edward Ott

Physical review. A, 1988

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Numerical orbits of chaotic processes represent true orbits

James Yorke

Bulletin of the American Mathematical Society, 1988

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Area preserving nontwist maps: periodic orbits and transition to chaos

Diego Del-castillo-negrete

Physica D: Nonlinear Phenomena, 1996

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Chaotic attractors of a locally conservative hyperbolic map with overlap

James Kadtke

Physica D: Nonlinear Phenomena, 1991

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The Natural Measure of Nonattracting Chaotic Sets and Its Representation by Unstable Periodic Orbits

Ying-Cheng Lai

International Journal of Bifurcation and Chaos, 2002

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A family of dissipative two-dimensional mappings: Chaotic, regular and steady state dynamics investigation

JULIANO AUGUSTO DE OLIVEIRA

Physica A: Statistical Mechanics and its Applications, 2014

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Transition from mode-locked periodic orbit to chaos in a 2D piecewise smooth non-invertible map

Soumitro Banerjee

Eprint Arxiv 0812 3778, 2008

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Stickiness Effects in Conservative Systems

Mirella Harsoula

International Journal of Bifurcation and Chaos, 2010

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Stickiness in Hamiltonian systems: From sharply divided to hierarchical phase space

Eduardo Altmann

Physical Review E, 2006

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Transition to chaos in a dissipative standardlike map

Sang-Yoon Kim

Physical Review A, 1992

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Intermittency and strange nonchaotic attractors in quasi-periodically forced circle maps

Paul Glendinning

Physics Letters A, 1998

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Structure Analysis of Fractal and Chaotic Components of Cyclic Trajectories for Congruent Nonlinear Dynamical Maps

Andrii Khrinenko

ELECTRICAL AND COMPUTER SYSTEMS, 2021

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The role of extreme orbits in the global organization of periodic regions in parameter space for one dimensional maps

Rene Medrano-T

Physics Letters A, 2016

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Supercritical Behavior of Disordered Orbits of a Circle Map

Kunihiko Kaneko

Progress of Theoretical Physics, 1984

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Further Discussions of the Complex Dynamics of a 2D Logistic Map: Basins of Attraction and Fractal Dimensions

Sameh Askar

Symmetry

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Analytical description of the structure of chaos

Mirella Harsoula

Journal of Physics A: Mathematical and Theoretical, 2015

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Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics

Edward Ott

Science, 1987

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Characterization of stickiness by means of recurrence

Maria Carmen Romano

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2007

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Route to chaos in three-dimensional maps of logistic type

Ricardo Lopez-Ruiz

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Deterministic chaos in one-dimensional maps—the period doubling and intermittency routes

Gouri Ambika

Pramana-journal of Physics, 1992

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Gross-Pitaevski map as a chaotic dynamical system

italo guarneri

Physical review. E, 2017

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Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map

Viktor Avrutin

ESAIM: Proceedings, 2012

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Cycling Chaos in One-Dimensional Coupled Iterated Maps

Antonio Palacios

International Journal of Bifurcation and Chaos, 2002

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Unusual Chaotic Attractors in Nonsmooth Dynamic Systems

U. Galvanetto

International Journal of Bifurcation and Chaos, 2005

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Fractal structures in nonlinear dynamics

Miguel A.F. Sanjuan

Reviews of Modern Physics, 2009

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Chaos, Solitons and Fractals

Elbaz I . Abouelmagd

New dynamical system for circular satellites relative motion, 2024

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