The dynamics of several Hamiltonian systems of two degrees of freedom with polynomial potentials is examined. All these systems present unbounded trajectories escaping along different routes. The motion in these open systems is Ž . characterized by a fractal boundary and its corresponding fractal di
Quantum complex Hénon–Heiles potentials
✍ Scribed by Carl M. Bender; Gerald V. Dunne; Peter N. Meisinger; Mehmet Ṡimṡek
- Book ID
- 108442874
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 411 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0375-9601
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Scaling similarity solutions of three integrable PDEs, namely the Sawada-Kotera, fifth order KdV and Kaup--Kupershmidt equations, are considered. It is shown that the resulting ODEs may be written as non-autonomous Hamiltonian equations, which are time-dependent generalizations of the well-known int
We present a global non-galactic dynamical model reducing to the H e enon-Heiles potential. Expanding the global model in the vicinity of a circular orbit, we find the potential of a two-dimensional perturbed harmonic oscillator which can give the H e enon-Heiles potential for certain values of the