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

被引：25

作者：

CHACON, R ^{[1
]}

机构：

[1] UNIV CASTILLA LA MANCHA,ESCUELA UNIV POLITECN ALMADEN,DEPT FIS APLICADA,E-13400 ALMADEN,SPAIN

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.52.2330

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The suppression of chaos in the driven pendulum due to a small parametric modulating term is studied theoretically with Melnikov's method, and the results are compared with those from classical perturbation theory. I obtained coherent results for the initial phase differences between 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.

引用

页码：2330 / 2337

页数：8

共 27 条

[1]

ALEIXEEV VV, 1987, SOV PHYS DOKL, V32, P270

[2]

Arnol&PRIME

[3]

d V. I., 1964, SOV MATH DOKL, V5, P581

[4] STOCHASTIC NOISE AND CHAOTIC TRANSIENTS [J].

BLACKBURN, JA ;

GRONBECHJENSEN, N ;

SMITH, HJT .

PHYSICAL REVIEW LETTERS, 1995, 74 (06) :908-911

[5] STABILITY AND HOPF BIFURCATIONS IN AN INVERTED PENDULUM [J].

BLACKBURN, JA ;

SMITH, HJT ;

GRONBECHJENSEN, N .

AMERICAN JOURNAL OF PHYSICS, 1992, 60 (10) :903-908

[6] SUPPRESSION OF CHAOS BY SELECTIVE RESONANT PARAMETRIC PERTURBATIONS [J].

CHACON, R .

PHYSICAL REVIEW E, 1995, 51 (01) :761-764

[7] EFFECTS OF PARAMETRIC PERTURBATIONS ON THE ONSET OF CHAOS IN THE JOSEPHSON-JUNCTION MODEL - THEORY AND ANALOG EXPERIMENTS [J].

CICOGNA, G ;

FRONZONI, L .

PHYSICAL REVIEW A, 1990, 42 (04) :1901-1906

[8] CHAOTIC STATES AND ROUTES TO CHAOS IN THE FORCED PENDULUM [J].

DHUMIERES, D ;

BEASLEY, MR ;

HUBERMAN, BA ;

LIBCHABER, A .

PHYSICAL REVIEW A, 1982, 26 (06) :3483-3496

[9] EXPERIMENTAL-EVIDENCE OF SUPPRESSION OF CHAOS BY RESONANT PARAMETRIC PERTURBATIONS [J].

FRONZONI, L ;

GIOCONDO, M ;

PETTINI, M .

PHYSICAL REVIEW A, 1991, 43 (12) :6483-6487

[10]

Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2

← 1 2 3 →