GENERIC FEATURES OF ESCAPE FROM A POTENTIAL WELL UNDER PARAMETRIC-EXCITATION

被引：16

作者：

CLIFFORD, MJ

BISHOP, SR

机构：

[1] Centre for Nonlinear Dynamics and its Applications, University College London, London, WC1E 6BT, Gower Street

来源：

PHYSICS LETTERS A | 1993年 / 184卷 / 01期

关键词：

D O I：

10.1016/0375-9601(93)90346-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Similarities in the bifurcation diagrams of three systems that permit escape from a potential well under parametric excitation are related to horseshoe formation in the invariant manifolds of the hill-top saddles.

引用

页码：57 / 63

页数：7

共 28 条

[11] Hayashi C., 1964, NONLINEAR OSCILLATIO
[12] HOLMES P, 1985, ARCH RATION MECH AN, V90, P115
[13] HSU CS, 1988, CELL CELL MAPPING ME
[14] Jordan D. W., 1987, NONLINEAR ORDINARY D
[15] SUBHARMONIC AND HOMOCLINIC BIFURCATIONS IN A PARAMETRICALLY FORCED PENDULUM
KOCH, BP
LEVEN, RW
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1985, 16 (01) : 1 - 13
[16] Mawhin J, 1988, EXPO MATH, V6, P271
[17] COMPUTATION OF RELATIVE ROTATIONS IN SPIRAL HORSESHOES
McRobie, F. A.
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (01): : 211 - 214
[18] BIFURCATIONAL PRECEDENCES IN THE BRAIDS OF PERIODIC-ORBITS OF SPIRAL 3-SHOES IN DRIVEN OSCILLATORS
MCROBIE, FA
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 438 (1904): : 545 - 569
[19] LOBE DYNAMICS AND THE ESCAPE FROM A POTENTIAL WELL
MCROBIE, FA
THOMPSON, JMT
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 435 (1895): : 659 - 672
[20] MCROBIE FA, IN PRESS INT J BIFUR

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