Proving the existence of long periodic orbits in 1D maps using interval Newton method and backward shooting-Reference-Cited by-同舟云学术

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Proving the existence of long periodic orbits in 1D maps using interval Newton method and backward shooting

Published:2002-10 Issue:1 Volume:124 Page:25-37
ISSN:0166-8641
Container-title:Topology and its Applications
language:en
Short-container-title:Topology and its Applications

Author:

Galias Zbigniew

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference12 articles.

1. Inclusion methods for systems of nonlinear equations—the interval Newton method and modifications;Alefeld,1994

2. Introduction to Interval Computations;Alefeld,1983

3. Exploring chaotic motion through periodic orbits;Auerbach;Phys. Rev. Lett.,1987

4. Shadowing in discrete dynamical systems;Coomes,1996

5. Comparison of interval methods for finding periodic orbits;Galias,1999

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1. Computational chaos in complex networks;Journal of Complex Networks;2019-04-29

2. Interval computing periodic orbits of maps using a piecewise approach;Applied Mathematics and Computation;2018-11

3. Inconsistencies in Numerical Simulations of Dynamical Systems Using Interval Arithmetic;International Journal of Bifurcation and Chaos;2018-04

4. Systematic search for wide periodic windows and bounds for the set of regular parameters for the quadratic map;Chaos: An Interdisciplinary Journal of Nonlinear Science;2017-05

5. Rigorous enclosures of rotation numbers by interval methods;Journal of Computational Dynamics;2016-09

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