Nonlinear Dynamical Systems In Engineering
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Nonlinear Dynamical Systems in Engineering
Author | : Vasile Marinca,Nicolae Herisanu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2012-01-05 |
Genre | : Technology & Engineering |
ISBN | : 9783642227356 |
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This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.
Applications of Chaos and Nonlinear Dynamics in Engineering
Author | : Santo Banerjee,Mala Mitra,Lamberto Rondoni |
Publsiher | : Springer Science & Business Media |
Total Pages | : 349 |
Release | : 2011-09-10 |
Genre | : Technology & Engineering |
ISBN | : 9783642219214 |
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Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications
A Practical Approach to Dynamical Systems for Engineers
Author | : Patricia Mellodge |
Publsiher | : Woodhead Publishing |
Total Pages | : 292 |
Release | : 2015-11-19 |
Genre | : Mathematics |
ISBN | : 9780081002247 |
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A Practical Approach to Dynamical Systems for Engineers takes the abstract mathematical concepts behind dynamical systems and applies them to real-world systems, such as a car traveling down the road, the ripples caused by throwing a pebble into a pond, and a clock pendulum swinging back and forth. Many relevant topics are covered, including modeling systems using differential equations, transfer functions, state-space representation, Hamiltonian systems, stability and equilibrium, and nonlinear system characteristics with examples including chaos, bifurcation, and limit cycles. In addition, MATLAB is used extensively to show how the analysis methods are applied to the examples. It is assumed readers will have an understanding of calculus, differential equations, linear algebra, and an interest in mechanical and electrical dynamical systems. Presents applications in engineering to show the adoption of dynamical system analytical methods Provides examples on the dynamics of automobiles, aircraft, and human balance, among others, with an emphasis on physical engineering systems MATLAB and Simulink are used throughout to apply the analysis methods and illustrate the ideas Offers in-depth discussions of every abstract concept, described in an intuitive manner, and illustrated using practical examples, bridging the gap between theory and practice Ideal resource for practicing engineers who need to understand background theory and how to apply it
Nonlinear Dynamical Systems
Author | : Peter A. Cook |
Publsiher | : Prentice Hall |
Total Pages | : 234 |
Release | : 1986 |
Genre | : Science |
ISBN | : UOM:39015011188730 |
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Modeling Simulation and Control of Nonlinear Engineering Dynamical Systems
Author | : Jan Awrejcewicz |
Publsiher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2008-12-26 |
Genre | : Technology & Engineering |
ISBN | : 9781402087783 |
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This volume contains the invited papers presented at the 9th International Conference "Dynamical Systems — Theory and Applications" held in Lódz, Poland, December 17-20, 2007, dealing with nonlinear dynamical systems. The conference brought together a large group of outstanding scientists and engineers, who deal with various problems of dynamics encountered both in engineering and in daily life. Topics covered include, among others, bifurcations and chaos in mechanical systems; control in dynamical systems; asymptotic methods in nonlinear dynamics; stability of dynamical systems; lumped and continuous systems vibrations; original numerical methods of vibration analysis; and man-machine interactions. Thus, the reader is given an overview of the most recent developments of dynamical systems and can follow the newest trends in this field of science. This book will be of interest to to pure and applied scientists working in the field of nonlinear dynamics.
Nonlinear Dynamics and Chaos
Author | : Steven H. Strogatz |
Publsiher | : CRC Press |
Total Pages | : 532 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 9780429961113 |
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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.
Nonlinear Dynamical Systems in Engineering
Author | : Vasile Marinca,Nicolae Herisanu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2012-01-05 |
Genre | : Technology & Engineering |
ISBN | : 9783642227349 |
Download Nonlinear Dynamical Systems in Engineering Book in PDF, Epub and Kindle
This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.
Linear Time varying Approximations to Nonlinear Dynamical Systems
Author | : Maria Tomas-Rodriguez,Stephen P. Banks |
Publsiher | : Springer Science & Business Media |
Total Pages | : 303 |
Release | : 2010-02-04 |
Genre | : Mathematics |
ISBN | : 9781849961004 |
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Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.