Sensitive dependence on parameters

DOI10.1063/1.3499615zbMath1314.37026OpenAlexW1965052439MaRDI QIDQ5253961

Michał Misiurewicz

Publication date: 5 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3499615

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Singular limits of absolutely continuous invariant measures for families of transitive maps ⋮ Towards understanding the theoretical challenges of numerical modeling of dynamical systems

Cites Work

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• Sensitive dependence to initial conditions for one dimensional maps
• On the abundance of aperiodic behaviour for maps on the interval
• Regularity and other properties of absolutely continuous invariant measures for the quadratic family
• On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps
• The trajectory of the turning point is dense for almost all tent maps

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