Novel isochronous N-body problems featuring N arbitrary rational coupling constants
From MaRDI portal
Publication:3185703
DOI10.1063/1.4954851zbMath1403.70005OpenAlexW2470242870WikidataQ56979196 ScholiaQ56979196MaRDI QIDQ3185703
Publication date: 4 August 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4954851
Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Hamilton's equations (70H05) (n)-body problems (70F10)
Related Items
Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations, Yet another class of \textit{new solvable} \(N\)-body problems of goldfish type, Time-dependent polynomials with \textit {one double} root, and related new solvable systems of nonlinear evolution equations, A class of new solvable nonlinear isochronous systems and their classical dynamics, Generations of solvable discrete-time dynamical systems, Time-dependent polynomials with one multiple root and new solvable dynamical systems, A convenient expression of the time-derivative zn(k)(t) , of arbitrary order k, of the zero z n (t) of a time-dependent polynomial p N (z;t) of arbitrary degree N in z, and solvable dynamical systems, New solvable dynamical systems
Cites Work
- Understanding complex dynamics by means of an associated Riemann surface
- Generations of monic polynomials such that the coefficients of each polynomial of the next generation coincide with the zeros of a polynomial of the current generation, and new solvable many-body problems
- Goldfish geodesics and Hamiltonian reduction of matrix dynamics
- On the calculation of an integral
- Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve \(\mu^{2}= \nu^{n}-1, n \in \mathbb Z\): ergodicity, isochrony and fractals
- New Solvable Variants of the Goldfish Many-Body Problem
- A new class of isochronous dynamical systems
- Novel solvable many-body problems
- Generations of solvable discrete-time dynamical systems
- The neatest many-body problem amenable to exact treatments (a ``goldfish?)
