Bifurcation near degenerate families

DOI10.1080/00036818008839316zbMath0441.34033OpenAlexW2027499139MaRDI QIDQ3882783

Jack K. Hale, Plácido Zoega Táboas

Publication date: 1980

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818008839316

zbMATH Keywords

bifurcationsmall forcingautonomous Hamiltonian systemsmall damping

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items

BIFURCATION CURVES OF SUBHARMONIC SOLUTIONS AND MELNIKOV THEORY UNDER DEGENERACIES, The Signorini perturbation scheme in an abstract setting, Periodic solutions of a forced Lotka-Volterra equation, Existence of transversal homoclinic points in a degenerate case, Bifurcations from a normally degenerate cycle in forced planar differential equations, Applications of the blowing-up construction and algebraic geometry to bifurcation problems, On the hydrodynamics of biaxial nematic liquid crystals. I: General theory, Geometric Method for Free Oscillator under Two Parametric Perturbation, Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator, Symmetry and bifurcation near families of solutions, Symmetry and bifurcation in three-dimensional elasticity. I, Symmetry and bifurcation in three-dimensional elasticity. II, Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems.

Cites Work

• Analytical theory of nonlinear oscillations. VII: The periods of the periodic solutions of the equation \(\ddot x+g(x)=0\)
• Interaction of damping and forcing in a second order equation
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