Dissipation and compact attractors
DOI10.1007/s10884-006-9021-6zbMath1119.37046OpenAlexW2051710337MaRDI QIDQ852028
Publication date: 27 November 2006
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-006-9021-6
Lyapunov functionattractorgradient systemfunctional differential equationcenter manifolddissipative systemasymptotically smooth systemcompact dissipative systempoint dissipative system
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability of topological dynamical systems (37B25) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Asymptotic theory of functional-differential equations (34K25) Attractors of solutions to ordinary differential equations (34D45)
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Cites Work
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- On the connectedness of attractors for dynamical systems
- The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension
- On a generalization of the Schauder fixed point theorem
- Attractivity properties of \(\alpha\)-contractions
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
- The Morse-Smale property for a semilinear parabolic equation
- Some properties of condensing maps
- Geometric theory of semilinear parabolic equations
- Complicated dynamics in scalar semilinear parabolic equations in higher space dimension
- A permutation related to the dynamics of a scalar parabolic PDE
- Convergence in gradient-like systems with applications to PDE
- Generic periodic solutions of functional differential equations
- Convergence of solutions of one-dimensional semilinear parabolic equations
- Persistent saddle connections in a class of reaction-diffusion equations
- Introduction to functional differential equations
- Realization of arbitrary vector fields on invariant manifolds of delay equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
- Regularity, determining modes and Galerkin methods.
- Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski.
- Unique continuation for weak solutions of the wave equation plus a potential
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Nonconvergent bounded trajectories in semilinear heat equations
- Heteroclinic orbits of semilinear parabolic equations
- On a nonlinear delay equation
- Sufficient conditions for stability and instability of autonomous functional-differential equations
- Functional differential equations on compact manifolds and an approximation theorem
- Stability of functional differential equations of neutral type
- The existence and nonexistence of critical points in bounded flows
- Local decay of solutions for symmetric hyperbolic systems with dissipative and coercive boundary conditions in exterior domains
- M. V. Keldysh's multiple completeness and the uniqueness of the solution of the corresponding Cauchy problem
- Theory of a general class of dissipative processes
- Fixed point theorems and dissipative processes
- The existence of periodic solutions of systems of differential equations
- Transformation theory of non-linear differential equations of the second order
- Stability and convergence in strongly monotone dynamical systems.
- Flows on centre manifolds for scalar functional differential equations
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- A damped hyerbolic equation with critical exponent
- A bifurcation problem for a nonlinear partial differential equation of parabolic type†
- On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
- Orbit equivalence of global attractors of semilinear parabolic differential equations
- Realisation of ordinary differential equations by retarded functional differential equations in neighbourhoods of equilibrium points
- Dissipative periodic processes
- A class of functional equations of neutral type
- Differentiable dynamical systems
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
- Some Asymptotic Fixed Point Theorems
- On structural stability
- Dynamics of evolutionary equations
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