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Application of the Hamilton-Jacobi method to the study of rheo-linear oscillators

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Publication:1194172
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DOI10.1007/BF01182583zbMath0751.70012MaRDI QIDQ1194172

B. D. Vujanović

Publication date: 27 September 1992

Published in: Acta Mechanica (Search for Journal in Brave)


zbMATH Keywords

harmonic oscillatorsingle degree of freedomJacobi theoremlinear conservation lawsquadratic conservation laws


Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Linear vibration theory (70J99)


Related Items

Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries, Hamilton-Jacobi method for mechanical systems on time scales



Cites Work

  • Unnamed Item
  • A field method and its application to the theory of vibrations
  • Integrating factors and conservation laws for nonconservative dynamical systems
  • Perturbation methods in applied mathematics
  • Variational methods in nonconservative phenomena
  • Time-dependent invariant associated to nonlinear Schrödinger–Langevin equations
  • Canonical transformations and exact invariants for dissipative systems
  • Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
  • Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
  • The Adiabatic Invariant of the Linear or Nonlinear Oscillator
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