Rights statement: Copyright 2005 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos, 15 (3), 2005 and may be found at http://scitation.aip.org/content/aip/journal/chaos/15/3/10.1063/1.1941067
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Scaling properties for a classical particle in a time-dependent potential well.
AU - Leonel, Edson D.
AU - McClintock, Peter V. E.
N1 - Copyright 2005 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos, 15 (3), 2005 and may be found at http://scitation.aip.org/content/aip/journal/chaos/15/3/10.1063/1.1941067
PY - 2005/9
Y1 - 2005/9
N2 - Some scaling properties for a classical particle interacting with a time-dependent square-well potential are studied. The corresponding dynamics is obtained by use of a two-dimensional nonlinear area-preserving map. We describe dynamics within the chaotic sea by use of a scaling function for the variance of the average energy, thereby demonstrating that the critical exponents are connected by an analytic relationship.
AB - Some scaling properties for a classical particle interacting with a time-dependent square-well potential are studied. The corresponding dynamics is obtained by use of a two-dimensional nonlinear area-preserving map. We describe dynamics within the chaotic sea by use of a scaling function for the variance of the average energy, thereby demonstrating that the critical exponents are connected by an analytic relationship.
U2 - 10.1063/1.1941067
DO - 10.1063/1.1941067
M3 - Journal article
VL - 15
SP - 033701
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 3
ER -