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KAM theorem of symplectic algorithms for Hamiltonian systems

✍ Scribed by Zai-jiu Shang


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
159 KB
Volume
83
Category
Article
ISSN
0029-599X

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Index theorems for symplectic systems
✍ P. Piccione; D.V. Tausk πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 839 KB

The Jacobi equation along a geodesic \(\gamma\) in a semi-Riemannian manifold \(\left(M^{n}, g\right)\) produces, by a parallel trivialization of the tangent bundle \(T M\) along \(\gamma\), a Morse-Sturm equation in \(\mathbb{R}^{n}\). More generally, the linearized Hamilton equation along a soluti