Existence and Multiplicity Results for Heteroclinic Orbits of Second Order Hamiltonian Systems
β Scribed by Chao-Nien Chen; Shyuh-yaur Tzeng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 262 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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__ Ξ΄ Ξ© / {0}, __V(x)__ = __V
## Abstract In this paper, necessary and sufficient conditions are derived for the existence of a common quadraβtic Lyapunov function for a finite number of stable second order linear timeβinvariant systems. Copyright Β© 2002 John Wiley & Sons, Ltd.