Isochronous Dynamical System and Diophantine Relations I
From MaRDI portal
Publication:3636332
DOI10.1142/S1402925109000091zbMath1183.37013MaRDI QIDQ3636332
Publication date: 30 June 2009
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
dynamical systemseigenvaluesmatricesintegrableconjecturesDiophantinenonlinear harmonic oscillatorsisochronous
Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Metric theory (11J83) (n)-body problems (70F10)
Related Items (1)
Cites Work
- Unnamed Item
- A generalisation of the Calogero-Moser system
- Some Diophantine relations involving circular functions of rational angles
- Eigenvalue-dynamics off the Calogero-Moser system
- A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem
- New solvable many-body problems in the plane
- Proof of certain Diophantine conjectures and identification of remarkable classes of orthogonal polynomials
- Novel solvable extensions of the goldfish many-body model
- Novel solvable variants of the goldfish many-body model
- Goldfishing by gauge theory
- Nonlinear harmonic oscillators
- A technique to identify solvable dynamical systems, and a solvable generalization of the goldfish many-body problem
- Isochronous Systems
- A new class of solvable dynamical systems
- Tridiagonal matrices, orthogonal polynomials and Diophantine relations: I
This page was built for publication: Isochronous Dynamical System and Diophantine Relations I
