An explicit formula for the discussion of stability in autonomous Hamiltonian systems
DOI10.1007/BF00947919zbMath0608.70023OpenAlexW2077072343MaRDI QIDQ1085995
Publication date: 1986
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00947919
stabilitytwo degrees of freedomBirkhoff normal formequilibriaautonomous Hamiltonian systemscircular orbitmultiplication of polynomialssymmetric satellitecanonical precesions
Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Orbital mechanics (70M20)
Cites Work
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- Canonical transformations depending on a small parameter
- Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
- On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
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