Numerical analysis of bifurcations by continuation methods

DOI10.1080/00207728908910159zbMath0675.65069OpenAlexW2001335318MaRDI QIDQ3830443

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Publication date: 1989

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728908910159

zbMATH Keywords

bifurcationHopf bifurcationcontinuation methodspitchforkfoldtranscriticalinterconnected dynamical systems

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• A continuation approach to eigenvalue assignment
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Chaotic behavior in piecewise-linear sampled-data control systems