Titlebook: Normal Forms and Stability of Hamiltonian Systems; Hildeberto E. Cabral,Lúcia Brandão Dias Textbook 2023 The Editor(s) (if applicable) and

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Hildeberto E. Cabral,Lúcia Brandão Diastch, Chinese, Australian, Indian and European examples. Part I: General Theory offers a detailed overview of the charrette process, a chapter on innovations in organizational and community learning and a chapter on shifting paradigms in the design charrette. Part II presents a number of case studies

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Preliminaries on Advanced Calculus,In this book we use the approach of the intrinsic differential calculus, which frequently saves time, space and gives clarity to the presentation. Therefore, we recall some facts from Advanced Calculus. For more details the reader can consult any text on Advanced Calculus, for instance the books by Goffman, Loomis-Sternberg or Rudin.

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Spectral Decomposition of Hamiltonian Matrices,In this chapter we study the normal form of a Hamiltonian matrix when the matrix is diagonalizable. For multiple eigenvalues we give the normal form only when the eigenvalues are purely imaginary numbers, the case relevant to the study of stability.

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Stability of Equilibria,In Sect. . we defined the stability of an equilibrium of an autonomous ordinary differential equation . and stated some stability results. Now we consider again this question but also include the case of a non-autonomous differential equation.

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978-3-031-33048-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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