Power geometry and four applications

DOI10.1007/BF02169051zbMath0988.37020OpenAlexW2066191324MaRDI QIDQ1125637

Alexander D. Bruno

Publication date: 12 December 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02169051

zbMATH Keywords

three-body problemnormal formflat platesurface wavesequation of satellite motion

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (1)

Periodic solutions of the restricted three-body problem for a small mass ratio

Cites Work

• Newton polyhedra (resolution of singularities)
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Comparison of various generalizations of continued fractions
• Newton polyhedra and Hamiltonian systems
• A general approach to the study of complex bifurcations
• The restricted three-body problem: plane periodic orbits. Transl. from the Russian by Balint Erdi. With a preface by Victor G. Szebehely
• Ways of computing a normal form
• Bifurcations of solutions in an invertible system of ordinary differential equations
• Hamiltonian truncated systems of a Hamiltonian system
• On a dynamic system arising from a finite-dimensional approximation of the Schrödinger equation
• Formal integral of a divergence-free system
• Normal form of the satellite oscillation equation in the singular case
• On periodic flybys of the moon
• Water waves for small surface tension: an approach via normal form
• Singularities of oscillations of a satellite on highly eccentric elliptic orbits
• Computational aspects of some autonomous differential equations
• Local analysis of singularities of an invertible system of ordinary differential equations
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