Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Evnin, Oleg
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210716
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems. Oleg Evnin. SIGMA 16 (2020), 034, 14 pages

A breathing mode in a Hamiltonian system is a function on the phase space whose evolution is exactly periodic for all solutions of the equations of motion. Such breathing modes are familiar from nonlinear dynamics in harmonic traps or anti-de Sitter spacetimes, with applications to the physics of co...