Discrete virial theorem

DOI10.1007/s10569-005-2578-2zbMath1149.70318OpenAlexW4231368161MaRDI QIDQ815691

James E. Howard

Publication date: 20 February 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-005-2578-2

zbMATH Keywords

chaosHamiltonian systemssymplectic mapsvirial theorem

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Hamilton's equations (70H05)

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Cites Work

• Stability of relative equilibria in arbitrary axisymmetric gravitational and magnetic fields
• A new test for chaos in deterministic systems
• The Lyapunov characteristic exponents-applications to celestial mechanics
• Chaos in Atomic Physics
• Proof of the Ergodic Theorem
• Tensor Virial Equations
• The phase space structure around \(L_4\) in the restricted three-body problem