Dynamical Chaos in Planetary Systems

DOI10.1007/978-3-030-52144-8zbMath1476.70003OpenAlexW3082272861MaRDI QIDQ5005935

Ivan I. Shevchenko

Publication date: 11 August 2021

Published in: Astrophysics and Space Science Library (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52144-8

zbMATH Keywords

stabilityHamiltonian approachLyapunov exponentschaotic behaviourresonancessymplectic mapscelestial mechanicsastronomyplanetary systemschaotic diffusionstability diagramsstability chartschaotic difussion ratesclearing effectsexoplanetary systemsLyapunov timescalesnonlineary dynamicsresonances in celestial mechanics

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Research exposition (monographs, survey articles) pertaining to astronomy and astrophysics (85-02) Hamiltonian and Lagrangian mechanics (70Hxx)

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