Regular and chaotic motion in some quartic potentials

DOI10.1088/0305-4470/17/4/020zbMath0549.70010OpenAlexW2081331979MaRDI QIDQ3341968

A. Carnegie, Ian C. Percival

Publication date: 1984

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/17/4/020

zbMATH Keywords

irregular motionsystems symmetric under reflectionstwo degrees of freedom with quartic potentials

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (10)

Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups ⋮ Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System ⋮ Fast Fermi Acceleration and Entropy Growth ⋮ Triangular dynamics under pressure ⋮ Energy extraction of a chaotic system in a cyclic process: a Szilárd engine perspective ⋮ Existence of stable orbits in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>potential ⋮ Quasimodes of the two-dimensional quartic oscillator ⋮ EFFECT OF DISSIPATION ON THE HAMILTONIAN CHAOS IN COUPLED OSCILLATOR SYSTEMS ⋮ Accurate energy spectrum for the quantum Yang-Mills mechanics with nonlinear color oscillations ⋮ Verification of finite bath fluctuation theorem for a non-ergodic system

This page was built for publication: Regular and chaotic motion in some quartic potentials