Ergodic Properties and Thermodynamics in Anharmonic Oscillator Systems**The project supported in part by National Natural Science Foundation of China, National Basic Research Project “Nonlinear Science”, the Research Grant Council RGC of Hong Kong and the Hong Kong Baptist University Faculty Research Grant FRG

Abstract

Ergodic properties of anharmonic oscillator systems with only a few degrees of freedom are both theoretically and numerically investigated. Statistical mechanics and thermodynamics of ergodic Hamiltonian systems are built. The Henon–Heiles systems with reflecting walls and the diamagnetic Kepler problem are studied