Hopf bifurcation with constraints

DOI10.1016/0362-546X(83)90008-1zbMath0527.34065MaRDI QIDQ3308413

Konrad Schumacher

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationtransversalityLyapunov-Schmidt decompositionasymptotic alpha-contractionBrouer-degreeno- resonancestrongly continuous semiflow

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Functional-differential equations in abstract spaces (34K30) Partial differential equations on manifolds; differential operators (58J99) Bifurcations in context of PDEs (35B32) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Equations in function spaces; evolution equations (58D25)

Related Items (1)

Hopf bifurcation for retarded functional differential equations and for semiflows in Banach spaces

Cites Work

• Hopf bifurcation for functional equations
• Geometric theory of semilinear parabolic equations
• The effect of integral conditions in certain equations modelling epidemics and population growth
• Prelude to Hopf bifurcation in an epidemic model: Analysis of a characteristic equation associated with a nonlinear Volterra integral equation
• Sample solutions of stochastic ordinary differential equations^∗
• Nonlinear Oscillations in Epidemic Models
• The radius of the essential spectrum
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