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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

10.1007/s10114-007-0957-1

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ISSN

1572-9222

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Existence of Rotating Spots with Spatially Depende

Authors: YanYu Chen JongShenq Guo Hirokazu Ninomiya
Publish Date: 2016/07/19
Volume: 29, Issue: 2, Pages: 465-483
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Abstract

In this paper we study the localized rotating spots created by the spatially inhomogeneous feedback We adopt the wave front interaction model proposed by Zykov and Showalter in 2005 The existence of rotating spots in the plane are shown by choosing the spatially dependent feedbacks appropriatelyThe authors would like to thank the Mathematics Division of NCTS Taipei Office for the support of the third author’s visit to Taiwan for which this paper was inspired We also thank the anonymous referees for their valuable comments and suggestions This work was supported in part by the Grants MOST 1022811M032007 and MOST 1022115M032003MY3 from the Ministry of Science and Technology of Taiwan ROC by a Research Project Grant A from the Institute of Science and Technology Meiji University and by JSPS KAKENHI Grant Numbers 25610036 and 26287024

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  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. A Permutation Related to Non-compact Global Attractors for Slowly Non-dissipative Systems
  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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