Isochronous and partially isochronous Hamiltonian systems are not rare
From MaRDI portal
Publication:3441707
DOI10.1063/1.2188211zbMath1111.37040OpenAlexW2091057325MaRDI QIDQ3441707
F. Leyvraz, Francesco Calogero
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2188211
Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (4)
Goldfishing: A new solvable many-body problem ⋮ Method of Generating N-dimensional Isochronous Nonsingular Hamiltonian Systems ⋮ Optimal Bounds for Self-Similar Solutions to Coagulation Equations with Product Kernel ⋮ A new class of solvable dynamical systems
Cites Work
- Unnamed Item
- Novel solution of the system describing the resonant interaction of three waves
- Nonlinear evolution ODEs featuring many periodic solutions
- Periodic solutions of a many-rotator problem in the plane
- A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem
- On isochronous Bruschi–Ragnisco–Ruijsenaars–Toda lattices: equilibrium configurations, behaviour in their neighbourhood, diophantine relations and conjectures
- Novel solvable extensions of the goldfish many-body model
- A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
- On the Quantization of Yet Another Two Nonlinear Harmonic Oscillators
- Integrable systems of quartic oscillators in ordinary (three-dimensional) space
- A complex deformation of the classical gravitational many-body problem that features many completely periodic motions
- On modified versions of some solvable ordinary differential equations due to Chazy
- General solution of a three-body problem in the plane
- Nonlinear harmonic oscillators
- Periodic Motions Galore: How to Modify Nonlinear Evolution Equations so that They Feature a Lot of Periodic Solutions
- On a modified version of a solvable ODE due to Painlevé
- Two New Classes of Isochronous Hamiltonian Systems
- Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions
- A technique to identify solvable dynamical systems, and a solvable generalization of the goldfish many-body problem
- Isochronous dynamical systems
- Isochronous Systems and Perturbation Theory
- The transition from regular to irregular motions, explained as travel on Riemann surfaces
- Periodic solutions of a system of complex ODEs
This page was built for publication: Isochronous and partially isochronous Hamiltonian systems are not rare