Normal Forms and Stability of Hamiltonian Systems
Produktdetaljer
Om bidragsyterne
Hildeberto Cabral is an Emeritus Professor at the Federal University of Pernambuco, Brazil. He did his PhD at the University of California, Berkeley (1972), after getting a Master's degree from the Institute of Pure and Applied MathematicsâIMPA, Brazil. He does research on dynamical systems, focusing on Hamiltonian systems, celestial mechanics, stability of equilibria, and periodic solutions.
LĂșcia BrandĂŁo Dias is an Associate Professor at the Federal University of RondĂŽnia, Brazil. She holds a PhD in Mathematics (2007) from the Federal University of Pernambuco, Brazil, with post-doc studies at the same university. Her research interests lie in Hamiltonian systems, differential equations, and n-body problems.
<p>âThe book is self-contained. ⊠This comes out in the superb presentation of the material, with plenty of examples that illustrate the concepts and the methods surveyed throughout the text. ⊠The book âcan be used both as a textbook for courses at the graduate level and as a reference book for researchers who need these techniques in dealing with the analysis of stability of equilibria in problems of classical mechanicsâ.â (Juan R. Pacha, Mathematical Reviews, December, 2024)</p>
<p>âHamiltonian systems, their stability and their normal forms are the main topics of this book. These are presented in an historical context that gives the reader a good sense of their development over time while identifying the major contributors to the theory. Authorsâ preface does a particularly good job here â identifying the origins and motivations of the ideas and describing how all the various parts â concepts, methods and tools â fit together.â (William J. Satzer Jr., zbMATH 1533.37001, 2024)</p>
Produktdetaljer
Om bidragsyterne
Hildeberto Cabral is an Emeritus Professor at the Federal University of Pernambuco, Brazil. He did his PhD at the University of California, Berkeley (1972), after getting a Master's degree from the Institute of Pure and Applied MathematicsâIMPA, Brazil. He does research on dynamical systems, focusing on Hamiltonian systems, celestial mechanics, stability of equilibria, and periodic solutions.
LĂșcia BrandĂŁo Dias is an Associate Professor at the Federal University of RondĂŽnia, Brazil. She holds a PhD in Mathematics (2007) from the Federal University of Pernambuco, Brazil, with post-doc studies at the same university. Her research interests lie in Hamiltonian systems, differential equations, and n-body problems.