Effects of Symmetry Breakdown in the Bifurcations of Periodic Orbits of a Nonintegrable Hamiltonian System
โ Scribed by S.D. Prado; M.A.M. Deaguiar
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 624 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0003-4916
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๐ SIMILAR VOLUMES
A class of nonlinear control systems is considered whose state evolves in the neighborhood of a period orbit. Necessary and sufficient conditions are given for tracking a family of output reference trajectories while rejecting a family of disturbances both generated by a Poisson stable exosystem. A
## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ ฮด ฮฉ / {0}, __V(x)__ = __V