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Title of Journal: J Dyn Diff Equat

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Abbravation: Journal of Dynamics and Differential Equations

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Springer US

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DOI

10.1016/0022-4898(73)90201-2

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1572-9222

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A Permutation Related to Noncompact Global Attrac

Authors: Juliana Pimentel Carlos Rocha
Publish Date: 2014/12/02
Volume: 28, Issue: 1, Pages: 1-28
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Abstract

We consider scalar reactiondiffusion equations with nondissipative nonlinearities generating global semiflows which exhibit blowup in infinite time This type of equations was only recently approached and the corresponding dynamical systems are known as slowly nondissipative systems The existence of unbounded solutions referred to as growup solutions requires the introduction of some objects interpreted as equilibria at infinity By extending known results we are able to obtain a complete decomposition of the associated noncompact global attractor The connecting orbit structure is determined based on the Sturm permutation method which yields a simple criterion for the existence of heteroclinic connectionsThis work was partially supported by FCT/Portugal through the project PEstOE/EEI/LA0009/2013 The first author was supported by SFRH/BD/51389/2011 FCT/Portugal and GDE/246318/20120 CNPqBrazil The authors also acknowledge the useful comments of the referee

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  1. Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay
  2. A Grobman–Hartman Theorem for Control Systems
  3. Invariant Tori of Full Dimension for Second KdV Equations with the External Parameters
  4. Second Order Abstract Neutral Functional Differential Equations
  5. Complete Global and Bifurcation Analysis of a Stoichiometric Predator–Prey Model
  6. Existence of Rotating Spots with Spatially Dependent Feedback in the Plane in a Wave Front Interaction Model
  7. Random Attractor Associated with the Quasi-Geostrophic Equation
  8. Existence and Asymptotic Behavior of Solutions to Semilinear Wave Equations with Nonlinear Damping and Dynamical Boundary Condition
  9. A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries
  10. Stability of Solitary Waves for the Generalized Higher-Order Boussinesq Equation
  11. A Few Remarks on Partially Hyperbolic Diffeomorphisms of $${\mathbb T}^3$$ Isotopic to Anosov
  12. On The Number of Characteristic Lines for Homogeneous Vector Fields
  13. Eigenvalues of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws via Geometric Singular Perturbation Theory
  14. Real Analytic Quasi-Periodic Solutions with More Diophantine Frequencies for Perturbed KdV Equations
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