Dynamics of a class of ODEs more general than almost periodic

DOI10.1016/j.na.2010.12.025zbMath1217.34101OpenAlexW2043722451MaRDI QIDQ631747

Juan-Miguel Gracia

Publication date: 14 March 2011

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.2010.12.025

zbMATH Keywords

periodic solutionalmost periodic solutionpullback attractorstable manifoldunstable manifoldalmost automorphic solutionsequential set

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items

Limitations of pullback attractors for processes ⋮ Dynamics of a class of ODEs via wavelets ⋮ Stability problems in nonautonomous linear differential equations in infinite dimensions ⋮ Pullback and forward dynamics of nonautonomous Laplacian lattice systems on weighted spaces ⋮ Some questions concerning attractors for non-autonomous dynamical systems ⋮ Existence and estimation of the Hausdorff dimension of attractors for an epidemic model ⋮ Asymptotic behaviour of a non-autonomous Lorenz-84 system ⋮ On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications ⋮ Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations ⋮ Almost periodicity of set-valued functions and set dynamic equations on time scales ⋮ On exponential decay and the Markus-Yamabe conjecture in infinite dimensions with applications to the Cima system ⋮ Asymptotic invariance and the discretisation of nonautonomous forward attracting sets ⋮ Diagonalizability of nonautonomous linear systems with bounded continuous coefficients ⋮ Attractors for a Nonautonomous Liénard Equation ⋮ Robustness of exponential dichotomy in a class of generalised almost periodic linear differential equations in infinite dimensional Banach spaces

Cites Work

• 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
• On the Hartman-Grobman theorem with parameters
• Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation
• On the relationship between exponential dichotomies and the Fredholm alternative
• Geometric theory of semilinear parabolic equations
• \(\alpha\)-contractions and attractors for dissipative semilinear hyperbolic equations and systems
• Almost automorphic solutions of certain abstract differential equations
• Almost periodic differential equations
• Dichotomies in stability theory
• On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
• Digitization of nonautonomous control systems
• Evolution equations: Dichotomies and the Fredholm alternative for bounded solutions
• On bifurcation and symmetry of solutions of symmetric nonlinear equations with odd-harmonic forcings
• Lyapunov's second method for nonautonomous differential equations
• Almost periodic properties of ordinary differential equations
• Applications of robust synchronization to communication systems
• Symmetry and Bifurcation to $2\pi $-Periodic Solutions of Nonlinear Second-Order Equations with ${{2\pi } \mathord{\left/ {\vphantom {{2\pi } m}} \right. \kern-\nulldelimiterspace} m}$-Periodic Forcings
• On harmonic and subharmonic solutions of nonlinear second order equations: symmetry and bifurcation
• Bifurcation in the Duffing equation with independent parameters, II
• A Linear, Almost Periodic Equation With an Almost Automorphic Solution
• Bifurcation in the Duffing equation with independent parameters. I
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
• BIFURCATIONS AND CONTINUOUS TRANSITIONS OF ATTRACTORS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS
• STABILITY AND MULTIPLICITY OF PERIODIC OR ALMOST PERIODIC SOLUTIONS TO SCALAR FIRST-ORDER ODE

This page was built for publication: Dynamics of a class of ODEs more general than almost periodic