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Titlebook: New Advances in Celestial Mechanics and Hamiltonian Systems; HAMSYS-2001 J. Delgado,E. A. Lacomba,E. Pérez-Chavela Conference proceedings 2

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31#
發(fā)表于 2025-3-26 21:07:29 | 只看該作者
32#
發(fā)表于 2025-3-27 02:03:39 | 只看該作者
A Survey on Bifurcations of Invariant Tori,c tori and are separated by the web formed by stable and unstable manifolds of normally hyperbolic tori. The lower dimensional invariant tori form Cantor families themselves, and occurring bifurcations in turn organize the distribution of normally elliptic and hyperbolic tori.
33#
發(fā)表于 2025-3-27 07:15:02 | 只看該作者
Invariant Manifolds of Spatial Restricted Three-Body Problems: the Lunar Case, normal forms are reduced through invariant theory and the corresponding relative equilibria are determined. Finally, the transformations are inverted to recover the associated higher-dimensional invariant sets of the initial Hamiltonian.
34#
發(fā)表于 2025-3-27 13:12:38 | 只看該作者
a of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the
35#
發(fā)表于 2025-3-27 14:01:52 | 只看該作者
Fitting Invariant Curves on Billiard Tables and the Birkhoff-Herman Theorem, circles can lose convexity only after developing a singularity and if it developes a singularity, the boundary contains a segment of an ellipse. An important role in this result is played by the Birkhoff-Herman thoerem which shows that differentiability of enveloped curves cannot be lost without a change in homotopy type.
36#
發(fā)表于 2025-3-27 20:51:32 | 只看該作者
37#
發(fā)表于 2025-3-28 00:17:24 | 只看該作者
Horseshoe Periodic Orbits in the Restricted Three Body Problem,n varying the mass parameter and the Jacobi constant. The relation between such orbits and the invariant manifolds of the Lyapunov families of periodic orbits around the collinear equilibrium point .. is also analysed.
38#
發(fā)表于 2025-3-28 03:08:14 | 只看該作者
Dynamics and Bifurcation Near the Transition from Stability to Complex Instability, this transition. We study the resulting Hamiltonian Hopf-like bifurcation from an analytical point of view by means of normal forms. The existence of a bifurcating family of 2D tori is derived and both cases (direct and inverse bifurcation) are described.
39#
發(fā)表于 2025-3-28 08:00:11 | 只看該作者
Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction,ace. Here we show, in the simplest non-holonomic systems, that in favorable circumnstances the compressed system is conformally symplectic, although the “noncompressed” constrained system never admits a Jacobi structure (in the sense of Marie et al. [4] [9]).
40#
發(fā)表于 2025-3-28 13:53:52 | 只看該作者
n. The powerful state’s degree of perceived threat, combined with its national security policies, military power projection capabilities, and public support then influence whether it will take no action, use coercive diplomacy/sanctions, or employ military force to address the weaker state’s nuclear ambitions..978-3-030-59803-7978-3-030-59801-3
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