Alternative method to find orbits in chaotic systems

Abstract

We present here a new method which applies well ordered symbolic dynamics to find unstable periodic and non-periodic orbits in a chaotic system. The method is simple and efficient and has been successfully applied to a number of different systems such as the Hénon map, disk billiards, stadium billiard, wedge billiard, diamagnetic Kepler problem, colinear Helium atom and systems with attracting potentials. The method seems to be better than earlier applied methods.

5 pages, uuencoded compressed tar PostScript file

References in corpus (1)

• Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

Cited by in corpus (6)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Efficient algorithm for detecting unstable periodic orbits in chaotic systems
• The semiclassical resonance spectrum of Hydrogen in a constant magnetic field
• Theory and Applications of the Systematic Detection of Unstable Periodic Orbits in Dynamical Systems
• A method to find unstable periodic orbits for the diamagnetic Kepler Problem
• Symbolic Dynamics of the Diamagnetic Kepler Problem Without Involving Bounces