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

Access to Document

10.1016/0009-2614(82)83567-7

Cite this

@article{0c87de1feeb240468e9e3e0d0d3b5033,

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.",

author = "Levine, {R. D.} and Whulfman, {C. E.}",

year = "1982",

month = mar,

day = "19",

doi = "10.1016/0009-2614(82)83567-7",

language = "אנגלית",

volume = "87",

pages = "105--108",

journal = "Chemical Physics Letters",

issn = "0009-2614",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - A unified description of regular and chaotic motions in classical mechanics

AU - Levine, R. D.

AU - Whulfman, C. E.

PY - 1982/3/19

Y1 - 1982/3/19

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0141731099&partnerID=8YFLogxK

U2 - 10.1016/0009-2614(82)83567-7

DO - 10.1016/0009-2614(82)83567-7

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0141731099

SN - 0009-2614

VL - 87

SP - 105

EP - 108

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 2

ER -

A unified description of regular and chaotic motions in classical mechanics

Abstract

Access to Document

Other files and links

Fingerprint

Cite this