Elliptic solutions and blow-up in an integrable Hénon–Heiles system
DOI10.1017/S030821050003016XzbMath0814.35118MaRDI QIDQ4328036
Eilbeck, J. C., Viktor Z.Enol'skij
Publication date: 27 March 1995
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
theta functionselliptic functionsintegrable casenonsingular hyperelliptic curve of genus twotwo-gap elliptic solitons of the KdV equation
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items
Cites Work
- Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
- Orbital behaviour transition from the Henon-Heiles to the three-particle Toda lattice Hamiltonian
- The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs
- Eigenvalues of a certain quadratic pencil of operators
- The Hénon-Heiles system revisited
- E-compact extensions of topological spaces
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
- A new class of exact solutions for coupled scalar field equations
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura