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Stabilization of solutions of dissipative Hamiltonian systems

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Publication:536279
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DOI10.1016/j.jmaa.2011.02.077zbMath1242.34119OpenAlexW1995264371MaRDI QIDQ536279

Wiktor Radzki, Ralph Chill

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.077


zbMATH Keywords

Łojasiewicz inequalityHénon-Heiles systemconvergence to equilibriumspherical pendulumdamped Hamiltonian system


Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Stabilization of solutions to ordinary differential equations (34H15)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
  • APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS
  • Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping
  • Pointwise convergence of gradient‐like systems
  • Convergence of the Iterates of Descent Methods for Analytic Cost Functions
  • The method of steepest descent for non-linear minimization problems
  • Riemannian geometry
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