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• catalog abstract "This book contains selected papers from AMS-IMS-SIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic of these two topics creates a natural combination for a conference on dynamics. Topics covered include twist maps, the Aubrey-Mather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov's procedure and the singularity properties of particular systems. As one of the few books that addresses both Hamiltonian systems and celestial mechanics, this volume offers emphasis on new issues and unsolved problems. Many of the papers give new results, yet the editors purposely include some exploratory papers based on numerical computations, a section on unsolved problems, and papers that pose conjectures while developing what is known.".
• catalog contributor b9913021.
• catalog contributor b9913022.
• catalog contributor b9913023.
• catalog created "1996.".
• catalog date "1996".
• catalog date "1996.".
• catalog dateCopyrighted "1996.".
• catalog description "Includes bibliographical references.".
• catalog description "Qualitative study of the parabolic collision restricted three-body problem / Josep M. Cors and Jaume Llibre -- Singularities in the Newtonian n-body problem / Donald G. Saari and Zhihong Xia -- A Variational approach to multibump solutions of differential equations / Paul H. Rabinowitz -- Melnikov method for autonomous Hamiltonians / Clark Robinson -- Exponentially small transversality in the rapidly forced pendulum / Nyayapati Prem Kumar Swami -- The Collinear one-bumper two-body problem / Samuel R. Kaplan -- Limiting mass distributions of minimal potential central configurations / Peter W. Lindstrom -- The Symmetric central configurations of four equal masses / Alain Albouy -- Central configurations in the charged three body problem / Ernesto Perez-Chavela [and others] -- Reduction in the rotating Kepler problem and related topics / Martin Kummer -- Asymptotic behavior of escape solutions of mechanical systems with polynomial potentials / Manuel Falconi and Ernesto A. Lacomba -- More on the heteroclinic orbits for the monotone twist maps / Quidong Wang -- Transition maps of homoclinic orbits and resonances near bifurcations of circle maps / Todd R. Young -- Resonance transition and instabilities; a numerical study of the restricted three-body problem / Xinhao Liao, Donald G. Saari, and Zhihong Xia -- Directions of Hamiltonian dynamics and celestial mechanics / Samuel R. Kaplan [et al.].".
• catalog description "This book contains selected papers from AMS-IMS-SIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic of these two topics creates a natural combination for a conference on dynamics. Topics covered include twist maps, the Aubrey-Mather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov's procedure and the singularity properties of particular systems. As one of the few books that addresses both Hamiltonian systems and celestial mechanics, this volume offers emphasis on new issues and unsolved problems. Many of the papers give new results, yet the editors purposely include some exploratory papers based on numerical computations, a section on unsolved problems, and papers that pose conjectures while developing what is known.".
• catalog extent "vii, 240 p. :".
• catalog identifier "0821805665 (alk. paper)".
• catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 198.".
• catalog isPartOf "Contemporary mathematics ; 198".
• catalog issued "1996".
• catalog issued "1996.".
• catalog language "eng".
• catalog publisher "Providence, R.I. : American Mathematical Society,".
• catalog subject "514/.74 20".
• catalog subject "Celestial mechanics Mathematics Congresses.".
• catalog subject "Hamiltonian systems Congresses.".
• catalog subject "QA614.83 .H337 1996".
• catalog tableOfContents "Qualitative study of the parabolic collision restricted three-body problem / Josep M. Cors and Jaume Llibre -- Singularities in the Newtonian n-body problem / Donald G. Saari and Zhihong Xia -- A Variational approach to multibump solutions of differential equations / Paul H. Rabinowitz -- Melnikov method for autonomous Hamiltonians / Clark Robinson -- Exponentially small transversality in the rapidly forced pendulum / Nyayapati Prem Kumar Swami -- The Collinear one-bumper two-body problem / Samuel R. Kaplan -- Limiting mass distributions of minimal potential central configurations / Peter W. Lindstrom -- The Symmetric central configurations of four equal masses / Alain Albouy -- Central configurations in the charged three body problem / Ernesto Perez-Chavela [and others] -- Reduction in the rotating Kepler problem and related topics / Martin Kummer -- Asymptotic behavior of escape solutions of mechanical systems with polynomial potentials / Manuel Falconi and Ernesto A. Lacomba -- More on the heteroclinic orbits for the monotone twist maps / Quidong Wang -- Transition maps of homoclinic orbits and resonances near bifurcations of circle maps / Todd R. Young -- Resonance transition and instabilities; a numerical study of the restricted three-body problem / Xinhao Liao, Donald G. Saari, and Zhihong Xia -- Directions of Hamiltonian dynamics and celestial mechanics / Samuel R. Kaplan [et al.].".
• catalog title "Hamiltonian dynamics and celestial mechanics / Donald G. Saari, Zhihong Xia, editors.".
• catalog type "Conference proceedings. fast".
• catalog type "text".