Titlebook: Lectures on Nonlinear Dynamics; José Roberto Castilho Piqueira,Carlos Eduardo Nigr Book 2024 The Editor(s) (if applicable) and The Author(

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Carlos E. N. Mazzilli,Eduardo A. R. Ribeiro,Breno A. P. Mendesabolic diseases in the older age range, using an analogous structure. If a particular diagnosis is already suspected, the reader may refer to the following sections of the book containing general chapters on di978-3-642-15720-2

laceration

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Nonlinear Normal Modes and Reduced Order Models,s that illustrate some unique characteristics of NNMs as compared to linear normal modes. Also Poincaré sections are used for the identification of NNMs and their stability and continuation methods are used to obtain frequency-energy plots and frequency-amplitude relations. The concept of multi-mode

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,Generalized Krylov-Bogoliubov Method for Solving Strong Nonlinear Vibration,ng nonlinear oscillator with linear damping is determined. For suppressing of the chaos the delayed feedback control, i.e., the ‘Pyragas method’ based on the idea of the stabilization of unstable periodic orbits embedded within a strange attractor is suggested.

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Book 2024hronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspecti

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An Introduction to Parametrically Excited Systems and Their Importance on the Dynamics of Slender Sgree of freedom, some analytical and numerical methods for investigating this class of problems are presented and discussed. Since the parametric excitation is an important phenomenon on the dynamics of slenders structures, an overview of recent contributions on the theme is brought together with as

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