Numerical Hopf bifurcation analysis in nonlinear ordinary and partial differential systems from chemical reactor theory

DOI10.1016/0096-3003(81)90008-4zbMath0477.65058OpenAlexW2023371659MaRDI QIDQ1161041

I. M. El-Henawy, Brian Hassard

Publication date: 1981

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(81)90008-4

zbMATH Keywords

periodic solutionsHopf bifurcationcollocation methodschemical reactor theoryautonomous ordinary differential systems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for boundary value problems involving PDEs (65N40) Computer aspects of numerical algorithms (65Y99)

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Uses Software

• AUTO
• LINPACK

Cites Work

• Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978
• Bifurcation formulae derived from center manifold theory
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Matrix eigensystem routines - EISPACK guide
• Algorithm for Evaluation of Complex Bifurcation Points in Ordinary Differential Equations
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• Unnamed Item

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