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Informationen zum Autor Soumitro Banerjee, Associate Professor, Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India Soumitro Banerjee has been at the Indian Institute of Technology, in the Department of Electrical Engineering since 1985. He currently teaches courses on 'Dynamics of Physical Systems', 'Signals and Networks', 'Energy Resources and Technology', 'Fractals, Chaos and Dynamical Systems' and 'Nonconventional Electrical Power Generation'. His research interests include bifurcation theory and chaos, and he has written and co-written over 43 papers on these subjects. Klappentext Thoroughly class-tested, this book focuses on the modelling and analysis of linear as well as nonlinear dynamical systems with emphasis on electrical, mechanical, and electromechanical systems. The readers are first introduced to the methods and techniques for translating a physical problem into mathematical language by formulating differential equations.Nowtonian, Lagrangian, and Hamiltonian methods are introduced, along with the method of bond graphs. Solutions of differential equations, both by analytical as well as numerical methods then follow, with an emphasis on developing a geometric understanding of dynamics in the state space. As well as drawing from the methods used in the study of nonlinear dynamics, this text also illustrates the application of these methods in the context of engineering systems. This book also covers discrete-time dynamical systems and methods of analyzing discrete dynamics. Each chapter contains numerous solved examples, a summary, and a set of problems. Zusammenfassung Thoroughly class-tested, this book focuses on the modelling and analysis of linear as well as nonlinear dynamical systems with emphasis on electrical, mechanical, and electromechanical systems. The readers are first introduced to the methods and techniques for translating a physical problem into mathematical language by formulating differential equations.Nowtonian, Lagrangian, and Hamiltonian methods are introduced, along with the method of bond graphs. Solutions of differential equations, both by analytical as well as numerical methods then follow, with an emphasis on developing a geometric understanding of dynamics in the state space. As well as drawing from the methods used in the study of nonlinear dynamics, this text also illustrates the application of these methods in the context of engineering systems. This book also covers discrete-time dynamical systems and methods of analyzing discrete dynamics. Each chapter contains numerous solved examples, a summary, and a set of problems. Inhaltsverzeichnis Preface. 1 Introduction to System Elements. 1.1 Introduction. 1.2 Chapter summary. 2 The Newtonian Method. 2.1 The Configuration Space. 2.2 Constraints. 2.3 Differential Equations from Newtons Laws. 2.4 Practical Difficulties with the Newtonian Formalism. 2.5 Chapter Summary. 3 Differential Equations by Kirchoff's Laws. 3.1 Kirchoff's Laws about Current and Voltage. 3.2 The Mesh Current and Node Voltage Methods. 3.3 Using Graph Theory to Obtain the Minimal Set of Equations. 3.4 Chapter Summary. 4 The Lagrangian Formalism. 4.1 Elements of the Lagrangian Approach. 4.2 Obtaining Dynamical Equations by Lagrangian Method. 4.3 The Principle of Least Action. 4.4 Lagrangian Method Applied to Electrical Circuits. 4.5 Systems with External Forces or Electromotive Forces. 4.6 Systems with Resistance or Friction. 4.7 Accounting for Current Sources. 4.8 Modeling Mutual Inductances. 4.9 A General Methodology for Electrical Networks. 4.10 Modeling Coulomb Friction. 4.11 Chapter Summary. 5 Obtaining Fir...
