We generalize the concept of symplectic maps to that of k-symplectic maps: maps whose kth iterates are symplectic. Similarly, k-symmetries and k-integrals are symmetries (resp. integrals) of the kth iterate of the map. It is shown that k-symmetries and k-integrals are related by the k-symplectic str
Lie Derivatives and Dynamical Systems
✍ Scribed by Ljupčo Kocarev; Ulrich Parlitz; Bambi Hu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 231 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
Applications of Lie derivatives in chaos synchronization and localization of periodic orbits are discussed[ We present examples illustrating how one can construct a system that synchronizes with a given dynamical system\ and how one can _nd a set that contains all periodic orbits of a dynamical system[ PACS numbers] 94[34¦b\ 53[59[Cn ! Þ 0887 Elsevier Science Ltd[ All rights reserved[ Author for correspondence] E!mail] lkocarevÝcerera[ etf[ukim[edu[mk[
📜 SIMILAR VOLUMES
Mechanical systems whose configuration space is a Lie group and whose Lagrangian is invariant to left translations on that group are considered. It is assumed that the mass geometry of the system may change under the action of only internal forces. The equations of motion admit of a complete set of