Invariant sets and attractors of quadratic mapping of plane: Computer experiment and analytical treatment

DOI10.1080/10236199808808153zbMath0915.58053OpenAlexW2078107317MaRDI QIDQ4227889

Vyacheslav G. Tsybulin, Victor Yudovich

Publication date: 5 July 1999

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808153

zbMATH Keywords

attractorinvariant measurequadratic mappinginvariant curvetwo-dimensional mappings

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Additive difference equations (39A10) Ergodic theory (37A99)

Related Items (1)

Bifurcation analysis and chaos in a discrete reduced Lorenz system

Cites Work

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• Computational chaos - a prelude to computational instability
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A chaotic mapping that displays its own homoclinic structure
• Symmetry-increasing bifurcation of chaotic attractors
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
• Quantitative universality for a class of nonlinear transformations
• Chaos in the cubic mapping

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