Generalized Hopf bifurcation in Hilbert space

DOI10.1002/mma.1670010408zbMath0451.34059OpenAlexW2147431826MaRDI QIDQ3897347

Hansjoerg Kielhoefer

Publication date: 1979

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670010408

zbMATH Keywords

bifurcation of periodic solutionssemilinear evolution equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) General theory for ordinary differential equations (34A99)

Related Items (15)

Interaction of periodic and stationary bifurcation from multiple eigenvalues ⋮ Hopf bifurcation for fully nonlinear equations in Banach space ⋮ Hopf bifurcation at a degenerate stationary pitchfork ⋮ Invariant manifolds and bifurcation for quasilinear reaction-diffusion systems ⋮ Classification and unfoldings of degenerate Hopf bifurcations ⋮ Degenerate bifurcation at simple eigenvalues and stability of bifurcating solutions ⋮ Dynamic behavior from bifurcation equations ⋮ Coincident bifurcation of equilibrium and periodic solutions of evolution equations ⋮ Bifurcation formulas for O.D.E.'S in n ⋮ Symmetric and flat bifurcations: an oscillatory phenomenon ⋮ Smoothness of bounded solutions of nonlinear evolution equations ⋮ Floquet exponents of bifurcating periodic orbits ⋮ Invariant manifolds for Volterra integral equations of convolution type ⋮ On the oscillatory instability of multiple-parameter systems ⋮ Hopf bifurcation calculations for functional differential equations

Cites Work

• Hopf bifurcation at multiple eigenvalues
• Sur le polygone de Newton
• Existence of small periodic solutions of ordinary differential equations in \(\mathbb{R}^2\)
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