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Energy functions for dynamical systems

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Publication:618194
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DOI10.1134/S1560354710020073zbMath1203.37028MaRDI QIDQ618194

Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)


zbMATH Keywords

Lyapunov functionenergy functionMorse-Smale system


Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Wild embeddings (57M30) Morse-Smale systems (37D15)





Cites Work

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  • A mildly wild imbedding of an \(n\)-frame
  • The energy function for gradient-like diffeomorphisms on 3-manifolds
  • Nonsingular Smale flows on \(S^ 3\)
  • Wild unstable manifolds
  • Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
  • On gradient dynamical systems
  • Some wild cells and spheres in three-dimensional space
  • Morse inequalities for a dynamical system
  • Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds
  • New relations for Morse-Smale systems with trivially embedded one-dimensional separatrices
  • Smoothing Derivatives of Functions and Applications
  • Differentiable dynamical systems
  • Energy Functions for Morse Smale Systems
  • A Characterization of Tame Curves in Three-Space




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