Abstract

Consider a conservative Hamiltonian system. One may specify the state of such a system by giving all the position and momentum coordinates (q, p) of a point in the system phase space, and the time evolution of the system is described by a trajectory lying on a surface described by the conservation of energy in the phase space. A dynamical system is said to be ergodic if left to itself for long enough, it will pass in an erratic manner close to nearly all the dynamical states compatible with conservation of energy.KeywordsHamiltonian SystemMagnetic Field LineCanonical TransformationInternal ResonanceResonance RegionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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