Geometric Aspects of Degenerate Modulation Equations

DOI10.1002/sapm1994912125zbMath0802.35097OpenAlexW2490131285MaRDI QIDQ4286240

Thomas J. Bridges

Publication date: 9 October 1994

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1994912125

zbMATH Keywords

Casimir functiondegenerate modulation equationintersection of two transversal branches of periodic solutionsspatially periodic and quasiperiodic stationary solutionsspatially reversible system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Geometric methods in ordinary differential equations (34A26) Second-order nonlinear hyperbolic equations (35L70) Bifurcations in context of PDEs (35B32) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (1)

Poisson structure of the reversible \(1:1\) resonance

Cites Work

• Strong selection or rejection of spatially periodic patterns in degenerate bifurcations
• Periodic and quasi-periodic solutions of degenerate modulation equations
• Stability of periodic solutions near a collision of eigenvalues of opposite signature
• On the Stability of Relative Equilibria

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