AN UNRAVELLING ALGORITHM FOR GLOBAL ANALYSIS OF DYNAMICAL-SYSTEMS - AN APPLICATION OF CELL-TO-CELL MAPPINGS

被引：98

作者：

HSU, CS

GUTTALU, RS

机构：

[1] Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, United States

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1980年 / 47卷 / 04期

关键词：

Asymptotically stable - Cell-to-cell mapping - Domains of attraction - Equilibrium state - Global analysis - Periodic motion - Theoretic base;

D O I：

10.1115/1.3153817

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A new method is offered here for global analysis of nonlinear dynamical systems. It is based upon the idea of constructing the associated cell-to-cell mappings for dynamical systems governed by point mappings or governed by ordinary differential equations. The method uses an algorithm which allows us to determine in a very effective manner the equilibrium states, periodic motions and their domains of attraction when they are asymptotically stable. The theoretic base and the detail of the method are discussed in the paper and the great potential of the method is demonstrated by several examples of application. © 1980 by ASME.

引用

页码：940 / 948

页数：9

共 7 条

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Bernussou Jacques, 1977, POINT MAPPING STABIL

[2]

Hsu C. S., 1977, DYNAMICS MULTIBODY S, P63

[3]

Hsu C.S., 1977, ADV APPL MECH, V17, P245

[4] DETERMINATION OF GLOBAL REGIONS OF ASYMPTOTIC STABILITY FOR DIFFERENCE DYNAMICAL-SYSTEMS [J].

HSU, CS ;

YEE, HC ;

CHENG, WH .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1977, 44 (01) :147-153

[5] STEADY-STATE RESPONSE OF A NONLINEAR-SYSTEM UNDER IMPULSIVE PERIODIC PARAMETRIC-EXCITATION [J].

HSU, CS ;

CHENG, WH ;

YEE, HC .

JOURNAL OF SOUND AND VIBRATION, 1977, 50 (01) :95-116

[6]

HSU CS, 1980, ASME J APPL MECH, V47, P931

[7]

Marsden JE, 2012, SPRINGER SCI BUSINES, DOI DOI 10.1137/1020063

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