NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS-Reference-Cited by-同舟云学术

NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS

Published:1991-09 Issue:03 Volume:01 Page:493-520
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DOEDEL EUSEBIUS¹,KELLER HERBERT B.²,KERNEVEZ JEAN PIERRE³

Affiliation:

1. Department of Computer Science, Concordia University, 1455 Boulevard de Maisonneuve O. Montréal, Québec, H3G 1M8, Canada

2. Applied Mathematics 217–50, California Institute of Technology, Pasadena, California, 91125, USA

3. Mathématiques Appliquées, Université de Technologie de Compiègne, B.P. 233, 60206 Compiègne, France

Abstract

A number of basic algorithms for the numerical analysis and control of bifurcation phenomena are described. The emphasis is on algorithms based on pseudoarclength continuation for algebraic equations. Several illustrative examples computed with the AUTO software package are included. Part II of this paper deals with ordinary differential equations and will appear in the next issue.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127491000397

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