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Applied Nonlinear Dynamics

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Release : 2008-11-20
Genre : Science
Kind : eBook
Book Rating : 558/5 ( reviews)

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Book Synopsis Applied Nonlinear Dynamics by : Ali H. Nayfeh

Download or read book Applied Nonlinear Dynamics written by Ali H. Nayfeh. This book was released on 2008-11-20. Available in PDF, EPUB and Kindle. Book excerpt: A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Introduction to Applied Nonlinear Dynamical Systems and Chaos

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Release : 2006-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 495/5 ( reviews)

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Book Synopsis Introduction to Applied Nonlinear Dynamical Systems and Chaos by : Stephen Wiggins

Download or read book Introduction to Applied Nonlinear Dynamical Systems and Chaos written by Stephen Wiggins. This book was released on 2006-04-18. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Applications of Nonlinear Dynamics

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Release : 2009-02-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 323/5 ( reviews)

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Book Synopsis Applications of Nonlinear Dynamics by : Visarath In

Download or read book Applications of Nonlinear Dynamics written by Visarath In. This book was released on 2009-02-11. Available in PDF, EPUB and Kindle. Book excerpt: The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Applied Nonlinear Dynamics And Chaos Of Mechanical Systems With Discontinuities

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Release : 2000-04-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 908/5 ( reviews)

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Book Synopsis Applied Nonlinear Dynamics And Chaos Of Mechanical Systems With Discontinuities by : Bram De Kraker

Download or read book Applied Nonlinear Dynamics And Chaos Of Mechanical Systems With Discontinuities written by Bram De Kraker. This book was released on 2000-04-28. Available in PDF, EPUB and Kindle. Book excerpt: Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes.The main objective of this volume is to provide a general methodology for describing, solving and analysing discontinuous systems. It is compiled from the dedicated contributions written by experts in the field of applied nonlinear dynamics and chaos.The main focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials and dynamics of metal cutting.

Nonlinear Dynamics and Chaos

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Release : 2018-05-04
Genre : Mathematics
Kind : eBook
Book Rating : 111/5 ( reviews)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz. This book was released on 2018-05-04. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

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