Application of Nonlinear Dynamic Analysis to Chemically Reacting Systems PDF Download

Author: Sang H. Kim
Publisher:
ISBN:
Category :
Languages : en
Pages : 360

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Author: Irving R. Epstein
Publisher: Oxford University Press
ISBN: 0198025661
Category : Science
Languages : en
Pages : 407

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Book Description
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.

Author: Christos K. Volos
Publisher: Nova Science Publishers
ISBN: 9781536122916
Category : Differential equations, Nonlinear
Languages : en
Pages : 0

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Book Description
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.

Author: Vladimir Hlavacek
Publisher: CRC Press
ISBN: 9782881241116
Category : Science
Languages : en
Pages : 328

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Author: Asit Saha
Publisher: Springer Nature
ISBN: 3031691342
Category :
Languages : en
Pages : 703

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Author: Laxmangudi Krishnamurthy Doraiswamy
Publisher: Taylor & Francis
ISBN: 9780677216706
Category : Science
Languages : en
Pages : 496

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Book Description
First published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.

Author: Visarath In
Publisher: Springer
ISBN: 3319526219
Category : Technology & Engineering
Languages : en
Pages : 312

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Book Description
This book presents collaborative research works carried out by experimentalists and theorists around the world in the field of nonlinear dynamical systems. It provides a forum for applications of nonlinear systems while solving practical problems in science and engineering. Topics include: Applied Nonlinear Optics, Sensor, Radar & Communication Signal Processing, Nano Devices, Nonlinear Biomedical Applications, Circuits & Systems, Coupled Nonlinear Oscillator, Precision Timing Devices, Networks, and other contemporary topics in the general field of Nonlinear Science. This book provides a comprehensive report of the various research projects presented at the International Conference on Applications in Nonlinear Dynamics (ICAND 2016) held in Denver, Colorado, 2016. It can be a valuable tool for scientists and engineering interested in connecting ideas and methods in nonlinear dynamics with actual design, fabrication and implementation of engineering applications or devices.>

Author: L. Schimansky-Geier
Publisher: World Scientific
ISBN: 9812706917
Category : Mathematics
Languages : en
Pages : 454

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Book Description
Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research. The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.

Author: G. Continillo
Publisher: Springer Science & Business Media
ISBN: 8847022088
Category : Science
Languages : en
Pages : 282

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Book Description
The book is a collection of peer-reviewed articles on dynamics, control and simulation of chemical processes. It covers a variety of different methods for approaching process dynamics and control, including bifurcation analysis, computational fluid dynamics, neural network applications, numerical simulations of partial differential equations, process identification and control, Lagrangian analysis of mixing. The book is intended both for scientists and engineering involved in process analysis and control and for researchers (system engineering, mathematicians and physicists) interested in nonlinear sciences. It provides an overview of the typical problems of chemical and process engineering, in which dynamical system theory finds a significant and fertile field of applications.

Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 800

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