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.
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© 1997 Springer Science+Business Media Dordrecht
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Shivamoggi, B.K. (1997). Integrable Systems. In: Nonlinear Dynamics and Chaotic Phenomena. Fluid Mechanics and Its Applications, vol 42. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2442-5_5
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DOI: https://doi.org/10.1007/978-94-017-2442-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4926-1
Online ISBN: 978-94-017-2442-5
eBook Packages: Springer Book Archive