On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative
DOI10.1016/j.na.2006.08.008zbMath1153.34034OpenAlexW2037890916MaRDI QIDQ885332
Boris Vladimirovich Loginov, Luisa Revmirovna Kim-Tyan, Yuriy Borisovich Rousak
Publication date: 8 June 2007
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2006.08.008
Semigroups of nonlinear operators (47H20) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items
Cites Work
- Geometric theory of semilinear parabolic equations
- The Hopf bifurcation theorem in infinite dimensions
- Bifurcation theory. An introduction with applications of PDEs
- The onset of auto-oscillations in a fluid
- Determination of the branching equation by its group symmetry—Andronov—Hopf bifurcation
- Invariant Manifolds and Grobman-Hartman Theorem for Equations with Degenerate Operator at the Derivative
- Generalized Jordan structure in the problem of the stability of bifurcating solutions
- Branching equation in the root subspace
- Branching equation of Andronov-Hopf bifurcation under group symmetry conditions
- THE USE OF GROUP PROPERTIES TO DETERMINE MULTI-PARAMETER FAMILIES OF SOLUTIONS OF NONLINEAR EQUATIONS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
