Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions

Abstract

A simple trick is illustrated, whereby nonlinear evolution equations can be modified so that they feature a lot - or, in some cases, only -- periodic solutions. Several examples (ODEs and PDEs) are exhibited.

arxiv version is already official

Cited by in corpus (6)

• Classical and Quantum Nambu Mechanics
• The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces
• 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, periodicity and fractals
• Towards a Theory of Chaos Explained as Travel on Riemann Surfaces
• Dynamical systems on infinitely sheeted Riemann surfaces
• Understanding complex dynamics by means of an associated Riemann surface