GRAZING BIFURCATIONS IN IMPACT OSCILLATORS

被引：282

作者：

CHIN, W

OTT, E

NUSSE, HE

GREBOGI, C

机构：

[1] UNIV MARYLAND, INST PLASMA RES, COLLEGE PK, MD 20742 USA

[2] UNIV MARYLAND, DEPT ELECT ENGN, COLLEGE PK, MD 20742 USA

[3] UNIV MARYLAND, DEPT PHYS, COLLEGE PK, MD 20742 USA

[4] UNIV MARYLAND, SYST RES INST, COLLEGE PK, MD 20742 USA

[5] UNIV MARYLAND, INST PHYS SCI & TECHNOL, COLLEGE PK, MD 20742 USA

[6] UNIV GRONINGEN, VAKGRP ECONOMETRIE, 9700 AV GRONINGEN, NETHERLANDS

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.50.4427

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：

Impact oscillators demonstrate interesting dynamical features. In particular, new types of bifurcations take place as such systems evolve from a nonimpacting to an impacting state (or vice versa), as a system parameter varies smoothly. These bifurcations are called grazing bifurcations. In this paper we analyze the different types of grazing bifurcations that can occur in a simple sinusoidally forced oscillator system in the presence of friction and a hard wall with which the impacts take place. The general picture we obtain exemplifies universal features that are predicted to occur in a wide variety of impact oscillator systems. © 1994 The American Physical Society.

引用

页码：4427 / 4444

页数：18

共 18 条

[1] INTERMITTENCY IN IMPACT OSCILLATORS CLOSE TO RESONANCE [J].