Jacobi Stability of Circular Orbits in a Central Force

DOI10.1080/1726037X.2012.10698621zbMath1277.70006MaRDI QIDQ2865330

Hossein Abolghasem

Publication date: 29 November 2013

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

dynamical systemscentral forceJacobi stabilityLiapunov stabilityKCC theory

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Stability problems in rigid body dynamics (70E50) Motion of a rigid body with a fixed point (70E17) Stability of manifolds of solutions to ordinary differential equations (34D35)

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Cites Work

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• Some remarks on Jacobi stability
• Parallelism and path-spaces
• Observations sur le memoire precedent
• Liapunov Stability Versus Jacobi Stability
• Differential Equations: Theory and Applications
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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