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Lectures on Nonlinear Dynamics

This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these...

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Detalhes bibliográficos
Autor Corporativo: SpringerLink (Online service)
Outros Autores: Castilho Piqueira, José Roberto (Editor), Nigro Mazzilli, Carlos Eduardo (Editor), Pesce, Celso Pupo (Editor), Franzini, Guilherme Rosa (Editor)
Formato: Recurso Electrónico livro electrónico
Idioma:inglês
Publicado em: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edição:1st ed. 2024.
Colecção:Understanding Complex Systems,
Assuntos:
Dynamics.
Nonlinear theories.
System theory.
Applied Dynamical Systems.
Complex Systems.
Acesso em linha:https://doi.org/10.1007/978-3-031-45101-0
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Sumário:
  • Brief introduction to the theory of parametric resonance
  • An introduction to parametrically excited systems and their importance on the dynamics of slender structures
  • Normal Forms
  • Nonlinear Normal Modes and Reduced Order Models
  • An Introduction to Nonlinear System Identification
  • Comparing Master-Slave Topologies for Time Signal Distribution
  • Nonlinear Dynamics of Variable Mass Oscillators
  • Generalized Krylov-Bogoliubov method for solving strong nonlinear vibration
  • Chaos Theory
  • Dynamical integrity and its background.

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