Nonlinear Systems

Design, Applications & Analysis

Buch | Hardcover

375 Seiten

2017
Nova Science Publishers Inc (Verlag)
978-1-5361-2291-6 (ISBN)

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A non-linear system is a set of nonlinear equations, which may be algebraic, ordinary differential, partial differential, fractional, integral or a combination of these. Especially, nowadays, the term dynamical system is used as a synonym of nonlinear systems where the nonlinear equations represent the evolution of a solution over time. So, the notion of dynamical systems arose following the name of equations governing the motion of a system of particles, even though the nonlinear system may have no application to mechanics. Also, from an engineering point of view a nonlinear system may be represented with a feedback loop in which the output of an element is not proportional to its input. Over the last few decades, nonlinear systems have been used to describe a great variety of phenomena, in social and life sciences as well as in physical sciences and engineering. The theory of nonlinear systems has applications to problems of population growth, economics, chemical reactions, celestial mechanics, physiology of nerves, onset of turbulence, regulation of heartbeats, electronic circuits, cryptography, secure communications and many others. Nonlinear dynamical systems, which present chaotic behaviour, are of great importance due to their applications in science and engineering. Chaotic systems are nonlinear dynamical systems and maps that are highly sensitive to initial conditions. The sensitivity of initial conditions is usually called the butterfly effect for dynamical systems and maps. So, nowadays the design and analysis of nonlinear systems and especially chaotic systems has gained the interest of the research community due to the fact that many phenomena on financial, physical, biological, chemical, mechanical and engineering systems can be modelled and studied through the perspective of non-linear dynamics. These nonlinear systems can be modelled by discrete-time or continuous-time mathematical models. This book aims to bridge the gap between the design/analysis and applications, which are the two research stages on the progress of nonlinear systems and also which open up some new directions of real applications, where chaos can be put up to technological use, including secure communication systems, electronic circuits design, memristors and radar. Finally, this book can serve as an updated and handy reference for university professors, graduate students, laboratory researchers as well as physicists and applied mathematicians who are interested in studying the chaos and its applications through the field of nonlinear systems.

Preface; Volterra Series & Associated Frequency Domain Representation of a Class of Bilinear Partial Differential Equations; Particular Solutions of Nonlinear Ordinary Differential Equations & Applications; Lyapunov Exponents & Parameter Planes of Hyperchaotic Regions of the Lu Model in 6D & Its Projections; State-Feedback Nonlinear W1, Control & Related Minimax Designs; Comparative Performances of Anti-Synchronization between Different Chaotic Systems Using Three Control Schemes; The Control of a Hydraulic Servo System Using an Adaptive Sliding Mode Surface & Adaptive Gain; Stabilizing Unstable Periodic Orbits of Chaotic Systems Using an Adaptive Fuzzy Time-Delayed Feedback Controller; Synchronization in Chaotic Systems by a Threshold Based Coupling Using the Poincare Plane; Dynamics, Synchronization & the Fractional Order Form of a Chaotic System without Equilibrium; Nonlinear Dynamics of Single & Multiple Bias-Tuned Colpitts Oscillators; Chaos from an Active Band-Pass Filter: An Inductor Free Chuas Circuit & More; The Dynamics of a Driven Double Scroll Chaotic Circuit with a Negative Impedance Convertor; An Experimental Study of Chaotic Phenomena in the RL-Diode Circuit Driven by a Square Wave; Dynamical Analysis of a Beta-Cell Biological System & Its Hardware Realization; Non-Coherent Chaos-Based Spread-Spectrum Systems Using Multi-Carrier Modulation for Wireless Communications; Chaos in Optimal Signals for Radar & Communications; The Physical & Circuit-Theoretic Significance of the Memristor; Index.

Erscheinungsdatum	07.10.2017
Verlagsort	New York
Sprache	englisch
Maße	180 x 260 mm
Gewicht	1008 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-5361-2291-2 / 1536122912
ISBN-13	978-1-5361-2291-6 / 9781536122916
Zustand	Neuware