Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations
From MaRDI portal
Publication:2958640
DOI10.1088/1361-6544/30/1/274zbMath1375.37106OpenAlexW2557338870MaRDI QIDQ2958640
Rafael Obaya, Tomás Caraballo Garrido, José Antonio Langa
Publication date: 3 February 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://uvadoc.uva.es/handle/10324/25748
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Nonautonomous smooth dynamical systems (37C60)
Related Items (12)
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent ⋮ Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow ⋮ Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type ⋮ Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations ⋮ Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations ⋮ On the forward dynamical behaviour of nonautonomous lattice dynamical systems ⋮ On the forward dynamical behavior of nonautonomous systems ⋮ Li–Yorke chaos in nonautonomous Hopf bifurcation patterns—I ⋮ Invariant forward attractors of non-autonomous random dynamical systems ⋮ Characterization of Cocycle Attractors for Nonautonomous Reaction–Diffusion Equations ⋮ Weak topologies for Carathéodory differential equations: continuous dependence, exponential dichotomy and attractors ⋮ Forwards attraction properties in scalar non-autonomous linear–dissipative parabolic PDEs. The case of null upper Lyapunov exponent
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Massera's theorem for quasi-periodic differential equations
- Measurable subbundles in linear skew-product flows
- Interval maps, factors of maps, and chaos
- Bounded solutions of scalar, almost periodic linear equations
- Existence of dichotomies and invariant splittings for linear differential systems. I
- Recurrence of the integral of an odd conditionally periodic function
- Recurrence of the integral of a smooth conditionally periodic function
- Monotone random systems theory and applications
- Continuity of pullback and uniform attractors
- An ergodic classification of bidimensional linear systems
- Almost periodically forced circle flows
- Structure of attractors for skew product semiflows
- Almost automorphic and almost periodic dynamics for quasimonotone non-autonomous functional differential equations
- OLD AND NEW RESULTS ON STRANGE NONCHAOTIC ATTRACTORS
- Almost automorphic and almost periodic dynamics in skew-product semiflows
- Order-preserving random dynamical systems: equilibria, attractors, applications
- Sensitive dependence on initial conditions
- The structure of the bounded trajectories set of a scalar convex differential equation
- Morse Decomposition of Attractors for Non-autonomous Dynamical Systems
- Strict Ergodicity and Transformation of the Torus
- Isolated Invariant Sets for Flows on Vector Bundles
- Set-valued analysis
- Dynamics of evolutionary equations
This page was built for publication: Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations