A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
From MaRDI portal
Publication:689739
DOI10.2140/pjm.1993.160.219zbMath0784.58050OpenAlexW2033647745MaRDI QIDQ689739
Massimo Furi, Maria Patrizia Pera
Publication date: 17 November 1993
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.pjm/1102624215
Forced motions for nonlinear problems in mechanics (70K40) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (23)
A Continuation Result for Forced Oscillations of Constrained Motion Problems with Infinite Delay ⋮ The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ Bifurcation from simple eigenvalues for functional-differential equations ⋮ Global branches of periodic solutions for forced delay differential equations on compact manifolds ⋮ Global continuation of the eigenvalues of a perturbed linear operator ⋮ Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces ⋮ Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue ⋮ Sunflower model: time-dependent coefficients and topology of the periodic solutions set ⋮ Global continuation of periodic solutions for retarded functional differential equations on manifolds ⋮ On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds ⋮ Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems ⋮ Bifurcation of harmonic solutions for periodically perturbed autonomous differential equations from a manifold of equilibria ⋮ On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds ⋮ Branches of forced oscillations in degenerate systems of second-order ODEs ⋮ Global bifurcation results for nonlinear dynamic equations on time scales ⋮ Atypical bifurcation without compactness ⋮ Global solution branches and a topological implicit function theorem ⋮ On forced fast oscillations for delay differential equations on compact manifolds ⋮ Global bifurcation of fixed points and the Poincaré translation operator on manifolds ⋮ Branches of forced oscillations for periodically perturbed second-order autonomous ODEs on manifolds ⋮ Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds ⋮ Global continuation of forced oscillations of retarded motion equations on manifolds ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory
This page was built for publication: A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
