Finding all periodic orbits of maps using Newton methods: Sizes of basins

DOI10.1016/S0167-2789(99)00138-4zbMath0939.37008OpenAlexW1983142535WikidataQ127373796 ScholiaQ127373796MaRDI QIDQ1964022

Yanyan Li

Publication date: 3 July 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00138-4

zbMATH Keywords

diffeomorphismperiodic orbitsdynamical systemNewton methodsHénon mappingcontinuous NewtonIkeda mappingNewton basinperiodic saddle point

Mathematics Subject Classification ID

Newton-type methods (49M15) Nonlinear ordinary differential equations and systems (34A34) Simulation of dynamical systems (37M05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorial dynamics (types of periodic orbits) (37E15) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Uses Software

• Dynamics

Cites Work

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