Normal Forms and Stability of Hamiltonian Systems (eBook)

Artikelnummer: 978-3-031-33046-9
Einband: PDF
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Foreword.- Preliminaries on Advanced Calculus.- Hamiltonian Systems Theory.- Normal Forms of Hamiltonian Systems.- Spectral Decomposition of Hamiltonian Matrices.- The General Linear Normalization.- Stability of Equilibria.- Stability of Linear Hamiltonian Systems.- Parametric Resonance.- References.- Index.

Foreword.- Preliminaries on Advanced Calculus.- Hamiltonian Systems Theory.- Normal Forms of Hamiltonian Systems.- Spectral Decomposition of Hamiltonian Matrices.- The General Linear Normalization.- Stability of Equilibria.- Stability of Linear Hamiltonian Systems.- Parametric Resonance.- References.- Index.

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VerlagSpringer International Publishing
EinbandPDF
Erscheinungsjahr2023
Seitenangabe337 S.
AusgabekennzeichenEnglisch
AbbildungenXXI, 337 p. 29 illus., 13 illus. in color.
Masse8'682 KB
PlattformPDF
ReiheApplied Mathematical Sciences; Mathematics and Statistics; Mathematics and Statistics
AutorCabral, Hildeberto E. / Brandão Dias, Lúcia

Alle Bände der Reihe "Applied Mathematical Sciences; Mathematics and Statistics; Mathematics and Statistics (R0)"

Über den Autor Hildeberto E. Cabral

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 Mathematics-IMPA, Brazil. He does research on dynamical systems, focusing on Hamiltonian systems, celestial mechanics, stability of equilibria, and periodic solutions. Lúcia Brandão Dias is an Associate Professor at the Federal University of Rondônia, 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.

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