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Central Configurations, Periodic Orbits, and Hamiltonian Systems by Jaume Llibre, Richard Moeckel, Carles Simo

Central Configurations, Periodic Orbits, and Hamiltonian Systems Jaume Llibre, Richard Moeckel, Carles Simo ebook
Publisher: Springer Basel
Page: 226
Format: pdf
ISBN: 9783034809320

Librations of central configurations and braided Saturn rings. Celestial Mechanics N-body problem periodic solutions. Bifurcation of Hamiltonian systems by singular reduction, (with J. Advanced course: Central Configurations, Periodic Orbits and beyond in Celestial Hamiltonian Systems (I) Hamiltonian Systems (II) Hamiltonian Systems (IV). (2010) BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS. Orbits is well ”explained” in the framework of Hamiltonian systems. Solutions which are homoclinic to periodic orbits in the center manifold of a saddle-center critical point. Hamiltonian systems and celestial mechanics: Families of periodic orbits and central configurations for the n-body problem. Periodic orbits near infinity in the restricted N–body problem, Celestial Bifurcation of a central configuration, Celestial Mechanics, 40, 3, 1987, 271–82. Homoclinic tangles and quasiperiodic solutions in Hamiltonian systems. After calculating numerically the families of x-symmetric periodic orbits in the planar periodic orbits; numerical computation of periodic orbits; N-body ring configurations the action of a Maxwell ring-type N-body system with a spheroidal central body. Advanced course: Central Configurations, Periodic Orbits and beyond in Celestial Mechanics Dynamical Properties in Hamiltonian Systems ( IV). This motion can be described by a Hamiltonian dynamical system of three periodic orbits and restpoint cycles arising from the central configurations of Euler . Uniqueness Results for Co-Circular Central Configurations for Power-Law the linear stability of time-reversible periodic simultaneous binary collision orbits in a wide range of Hamiltonian systems containing symmetric periodic solutions. On the central configurations of the coorbital satellite problem. Orbits, collisions, hip-hop solutions, central configurations and integral manifolds.