A unified description of regular and chaotic motions in classical mechanics

R. D. Levine; C. E. Whulfman

doi:10.1016/0009-2614(82)83567-7

A unified description of regular and chaotic motions in classical mechanics

R. D. Levine^*
, C. E. Whulfman

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The distinction between regular and chaotic motion in classical mechanics depends upon treating time as a parameter. A unified description of both motions emerges if time is regarded as a dynamical variable because the initial conditions are then single-valued global constants of the motion. Time evolving states of tile system in ordinary phase space are states of equilibrium in the extended space.

Original language	English
Pages (from-to)	105-108
Number of pages	4
Journal	Chemical Physics Letters
Volume	87
Issue number	2
DOIs	https://doi.org/10.1016/0009-2614(82)83567-7
State	Published - 19 Mar 1982

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title = "A unified description of regular and chaotic motions in classical mechanics",

abstract = "The distinction between regular and chaotic motion in classical mechanics depends upon treating time as a parameter. A unified description of both motions emerges if time is regarded as a dynamical variable because the initial conditions are then single-valued global constants of the motion. Time evolving states of tile system in ordinary phase space are states of equilibrium in the extended space.",

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AB - The distinction between regular and chaotic motion in classical mechanics depends upon treating time as a parameter. A unified description of both motions emerges if time is regarded as a dynamical variable because the initial conditions are then single-valued global constants of the motion. Time evolving states of tile system in ordinary phase space are states of equilibrium in the extended space.

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A unified description of regular and chaotic motions in classical mechanics

Abstract

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