NATURAL SYMMETRIES AND REGULARIZATION BY MEANS OF WEAK PARAMETRIC MODULATIONS IN THE FORCED PENDULUM

Authors
CHACON R
Citation
R. Chacon, NATURAL SYMMETRIES AND REGULARIZATION BY MEANS OF WEAK PARAMETRIC MODULATIONS IN THE FORCED PENDULUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2330-2337
Citations number
26
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
3
Year of publication
1995
Part
A
Pages
2330 - 2337
Database
ISI
SICI code
1063-651X(1995)52:3<2330:NSARBM>2.0.ZU;2-5
Abstract
The suppression of chaos in the driven pendulum due to a small paramet ric modulating term is studied theoretically with Melnikov's method, a nd the results are compared with those from classical perturbation the ory. I obtained coherent results for the initial phase differences bet ween the two modulations for which the chaotic dynamics is regularized . It is also shown that these values are compatible with the surviving natural symmetry under the parametric modulation.