Degenerate bifurcations and catastrophe sets via frequency analysis

DOI10.1080/02681119008806094zbMath0719.34071OpenAlexW2019696500MaRDI QIDQ5751198

Hernan Cendra, Alfredo C. Desages, Jorge L. Moiola, Liliana R. Castro

Publication date: 1990

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119008806094

zbMATH Keywords

bifurcation conditionscontinuous stirred-tank reactorgeneralized Nyquist stability criterionirreversible, first-order reactionsstability analysis of feedback systems

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Popov-type stability of feedback systems (93D10) Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Finding nondegenerate Hopf bifurcation points for four-dimensional two-parametric systems ⋮ Analysis of static and dynamic bifurcations from a feedback systems perspective

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation formulae derived from center manifold theory
• Classification and unfoldings of degenerate Hopf bifurcations
• On the theory and application of the Hopf-Friedrich Bifurcation theory
• A perturbation analysis of interactive static and dynamic bifurcations
• The generalized Nyquist stability criterion and multivariable root loci
• Harmonic balance and the Hopf bifurcation
• Hopf bifurcation via Volterra series

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