Alexander D. Bruno – författare
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4 produkter
4 produkter
Inbunden, Engelska, 1994
2 793 kr
Skickas inom 5-8 vardagar
No detailed description available for "The Restricted 3-Body Problem: Plane Periodic Orbits".
E-bok
PDF, Engelska, 20122 298 kr
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This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.
The survey articles discuss the following topics:
General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations:– Asymptotic forms and asymptotic expansions– Connections of asymptotic forms of a solution near different points– Convergency and asymptotic character of a formal solution– New types of asymptotic forms and asymptotic expansions– Riemann-Hilbert problems– Isomonodromic deformations of linear systems– Symmetries and transformations of solutions– Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutionsE-bok
PDF, Engelska, 20112 558 kr
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No detailed description available for "e;The Restricted 3-Body Problem: Plane Periodic Orbits"e;.
Häftad, Engelska, 2011
1 082 kr
Skickas inom 10-15 vardagar
The method of normal forms is usually attributed to Poincaré although some of the basic ideas of the method can be found in earlier works of Jacobi, Briot and Bouquet. In this book, A.D.Bruno gives an account of the work of these mathematicians and further developments as well as the results of his own extensive investigations on the subject. The book begins with a thorough presentation of the analytical techniques necessary for the implementation of the theory as well as an extensive description of the geometry of the Newton polygon. It then proceeds to discuss the normal form of systems of ordinary differential equations giving many specific applications of the theory. An underlying theme of the book is the unifying nature of the method of normal forms regarding techniques for the study of the local properties of ordinary differential equations. In the second part of the book it is shown, for a special class of equations, how the method of normal forms yields classical results of Lyapunov concerning families of periodic orbits in the neighborhood of equilibrium points of Hamiltonian systems as well as the more modern results concerning families of quasiperiodic orbits obtained by Kolmogorov, Arnold and Moser. The book is intended for mathematicians, theoretical mechanicians, and physicists. It is suitable for advanced undergraduate and graduate students.