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Synchronization of perturbed non-linear Hamiltonians

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Publication:1261022
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DOI10.1007/BF00692993zbMath0780.70018MaRDI QIDQ1261022

Vincent T. Coppola, Bruce R. Miller

Publication date: 29 August 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)


zbMATH Keywords

Lie transformationspolynomial potentialperturbed Duffing systems


Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)


Related Items (1)

Exact solution of a triaxial gyrostat with one rotor


Uses Software

  • MACSYMA


Cites Work

  • Unnamed Item
  • Unnamed Item
  • A note on the application of a generalized canonical approach to non-linear Hamiltonian systems
  • A new approach to the librational solution in the Ideal Resonance Problem
  • A geometric approach to the Ideal Resonance Problem
  • Canonical transformations depending on a small parameter
  • The main problem of artificial satellite theory for small and moderate eccentricities
  • On a perturbation theory using Lie transforms
  • Averaging methods in nonlinear dynamical systems


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