Stochasticity in dynamical systems and the curvature of the associated Riemannian manifold

DOI10.1007/BF00651287zbMath0553.70007OpenAlexW2053917481WikidataQ115394976 ScholiaQ115394976MaRDI QIDQ759496

Harry Varvoglis

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00651287

zbMATH Keywords

two-body problemHénon-Heiles systemHedlund-Hopf-Lobachevsky-Hadamard theoremsurface of section mapping

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Celestial mechanics (70F15)

Cites Work

• The Gaussian curvature of associated manifold of dynamical systems
• Regular and stochastic motion

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