Using chaos to shadow the quadratic map for all time

DOI10.1080/00207169808804740zbMath0931.65123OpenAlexW2004832498MaRDI QIDQ4256054

Nejib Smaoui, Eric J. Kostelich

Publication date: 15 February 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804740

zbMATH Keywords

chaotic attractordiscrete dynamical systemsperiodic windowshadowingquadratic mapchaotic differential equationscomputer-generated orbitChaotis process

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Numerical chaos (65P20) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

An approach of tracking control for chaotic systems ⋮ Cryptography with chaos and shadowing ⋮ An artificial neural network noise reduction method for chaotic attractors ⋮ IRREGULARLY DECIMATED CHAOTIC MAP(S) FOR BINARY DIGITS GENERATIONS

Cites Work

• Unnamed Item
• Is every approximate trajectory of some process near an exact trajectory of a nearby process?
• Do numerical orbits of chaotic dynamical processes represent true orbits?
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Lorenz cross sections of the chaotic attractor of the double rotor
• Symmetries and dynamics for 2-D Navier-Stokes flow
• Timely Communication:Symmetry and the Karhunen--Loève Analysis

This page was built for publication: Using chaos to shadow the quadratic map for all time