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A criterion for local instability of a geodesic flow from the Jacobi equation in Fermi basis

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Publication:1185420
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DOI10.1016/0960-0779(91)90033-6zbMath0753.58025OpenAlexW1966975956WikidataQ125338462 ScholiaQ125338462MaRDI QIDQ1185420

Marek Biesiada, Marek Szydłowski, Jerzy Szczęsny

Publication date: 28 June 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90033-6


zbMATH Keywords

instabilityRiemannian manifoldsgeodesic flowcosmological models


Mathematics Subject Classification ID

Relativistic cosmology (83F05) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


Related Items (5)

Measure of rates of separation of trajectories from the geodesic deviation equation in a Fermi basis -- An analytical approach ⋮ Curvature of gravitationally bound mechanical systems ⋮ The generalized local instability criterion and approximation method ⋮ Sectional curvature in the dynamics of gravitational systems ⋮ Qualitative chaos in galactic models



Cites Work

  • The Large Scale Structure of Space-Time


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