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Analysis and modeling of the various dynamical system is a truly popular practice because the engineers must always have a proper understanding of how the engineering or physical systems would behave under particular circumstances. The content of this volume will be providing readers with the comprehensive and well-organized technical introduction to the established methods plus techniques that are commonly utilized for the translation of the physical problems into the math language, with both linear and non-linear systems being covered. The publication has been deservedly treated as very practical because of the materials contained and numerous solved examples and summaries. The volume is covering virtually all aspects of the analysis/modeling of the dynamical systems, including the introduction to the Hamiltonian, Lagrangian, Bond Graph and Newtonian methodologies and illustration of the effective application of the differential equations to a broad range of mechanical and electrical, as well as other systems. The authors have also set the most important features of the dynamics of the non-linear systems together with the establishing of the effective methodologies for the formulation of the discrete-time models. The publication will definitely be of great use for the students in various field of engineering and to the practicing engineers and researchers.