On the special role of symmetric periodic orbits in a chaotic system

[摘要] After early work of Henon it has become folk knowledge that symmetric periodic orbits are of particular importance. We reinforce this belief by additional studies and we further find that invariant closed symplectic submanifolds caused by discrete symmetries prove to be an important complement to the long known role of the orbits. The latter have particular importance in semi-classics. Based on the structural stability of hyperbolic horseshoes we give an argument that opens an avenue to the understanding of these facts. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

[发布日期] 1999-07-01

[效力级别]  Proceedings Paper

[关键词] periodic orbits;symmetric orbits;semi-classics;horseshoes