Iterated maps on discretized meshes of the unit interval

DOI10.1016/0898-1221(91)90051-5zbMath0725.65069OpenAlexW1986801967MaRDI QIDQ2277773

Phil Diamond

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90051-5

zbMATH Keywords

chaosdynamical systemscomputer simulationattractive periods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Is every approximate trajectory of some process near an exact trajectory of a nearby process?
• On the abundance of aperiodic behaviour for maps on the interval
• Computer orbits
• Period Three Implies Chaos
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations