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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/s11664-998-0055-x

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1572-9222

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Invariant Tori of Full Dimension for Second KdV Eq

Authors: Jiansheng Geng Wei Hong
Publish Date: 2015/11/04
Volume: 29, Issue: 4, Pages: 1325-1354
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Abstract

We would like to thank Yingfei Yi and Jiangong You for fruitful discussions about this work We would also like to thank the anonymous referee for good suggestions and pointing out some mistakes in the former version This work is partially supported by NSFC Grant 11271180 This work is also partially supported by a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education InstitutionsLet V be an open domain in a real Banach space E with normVert cdot Vert B a subset of another real Banach space and XVtimes Brightarrow E a parameter dependent vector field on V  which is C1 on V and Lipschitz on B Let phi t be its flow Suppose there is a subdomain Usubset V such that phi t Utimes Brightarrow V for 1le tle 1

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  1. Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay
  2. A Grobman–Hartman Theorem for Control Systems
  3. Second Order Abstract Neutral Functional Differential Equations
  4. Complete Global and Bifurcation Analysis of a Stoichiometric Predator–Prey Model
  5. Existence of Rotating Spots with Spatially Dependent Feedback in the Plane in a Wave Front Interaction 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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