Nonlinear Phenomena In Mathematical Sciences

Author : V. Lakshmikantham
Publisher : Elsevier
Page : 1062 pages
File Size : 43,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483272054

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Nonlinear Phenomena in Mathematical Sciences by V. Lakshmikantham Pdf

Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.

Author : Vangipuram Lakshmikantham
Publisher : Unknown
Page : 1035 pages
File Size : 48,6 Mb
Release : 1982
Category : Electronic
ISBN : 0124341705

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Nonlinear Phenomena in Mathematical Sciences by Vangipuram Lakshmikantham Pdf

Nonlinear Phenomena in Mathematical Sciences ...

Author : T. Aiki,N. Kenmochi,M. Niezg ́odka,M. Otani
Publisher : Unknown
Page : 327 pages
File Size : 51,8 Mb
Release : 2006-05
Category : Electronic
ISBN : 4762504327

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Mathematical Approach to Nonlinear Phenomena by T. Aiki,N. Kenmochi,M. Niezg ́odka,M. Otani Pdf

Author : Victoriano Carmona,Jesús Cuevas-Maraver,Fernando Fernández-Sánchez,Elisabeth García- Medina
Publisher : Springer
Page : 424 pages
File Size : 45,8 Mb
Release : 2018-09-15
Category : Science
ISBN : 9783319667669

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Nonlinear Systems, Vol. 1 by Victoriano Carmona,Jesús Cuevas-Maraver,Fernando Fernández-Sánchez,Elisabeth García- Medina Pdf

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.

Author : J. A. Tenreiro Machado,Necati Özdemir,Dumitru Baleanu
Publisher : Springer Nature
Page : 231 pages
File Size : 54,9 Mb
Release : 2020-02-19
Category : Mathematics
ISBN : 9783030371418

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Numerical Solutions of Realistic Nonlinear Phenomena by J. A. Tenreiro Machado,Necati Özdemir,Dumitru Baleanu Pdf

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.

Author : Mehmet Yavuz,Necati Özdemir
Publisher : Bentham Science Publishers
Page : 275 pages
File Size : 49,5 Mb
Release : 2022-12-14
Category : Mathematics
ISBN : 9789815051940

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Fractional Calculus: New Applications in Understanding Nonlinear Phenomena by Mehmet Yavuz,Necati Özdemir Pdf

In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern operators in fractional calculus have different properties which are comparable to those of classical operators.These have been intensively studied formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natural occurrences and tackle different problems. This book presents ten reviews of recent fractional operators split over three sections: 1. Chaotic Systems and Control (covers the Caputo fractional derivative, and a chaotic fractional-order financial system)2. Heat Conduction (covers the Duhamel theorem for time-dependent source terms, and the Cattaneo–Hristov model for oscillatory heat transfer)3. Computational Methods and Their Illustrative Applications (covers mathematical analysis for understanding 5 real-word phenomena: HTLV-1 infection of CD4+ T-cells, traveling waves, rumor-spreading, biochemical reactions, and the computational fluid dynamics of a non-powered floating object navigating in an approach channel) This volume is a resource for researchers in physics, biology, behavioral sciences, and mathematics who are interested in new applications of fractional calculus in the study of nonlinear phenomena.

Author : Andrei K. Abramian,Igor V. Andrianov,Valery A. Gaiko
Publisher : Springer Nature
Page : 276 pages
File Size : 45,6 Mb
Release : 2020-11-02
Category : Science
ISBN : 9783030530068

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Nonlinear Dynamics of Discrete and Continuous Systems by Andrei K. Abramian,Igor V. Andrianov,Valery A. Gaiko Pdf

This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen’s contributions to the field, it presents papers discussing topics such as the current problems of the theory of nonlinear dynamic processes in continua and structures; applications, including discrete and continuous dynamic models of structures and media; and problems of asymptotic approaches.

Author : Richard Enns,George McGuire
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 54,7 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781468400328

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Nonlinear Physics with Maple for Scientists and Engineers by Richard Enns,George McGuire Pdf

Philosophy of the Text This text has been designed to be an introductory survey of the basic concepts and applied mathematical methods of nonlinear science. Students in engineer ing, physics, chemistry, mathematics, computing science, and biology should be able to successfully use this text. In an effort to provide the students with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of Maple V Release 4 applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The diskette which accompanies the text gives a wide variety of illustrative nonlinear examples solved with Maple. An accompanying laboratory manual of experimental activities keyed to the text allows the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated. The Level of the Text The essential prerequisites for the first eight chapters of this text would nor mally be one semester of ordinary differential equations and an intermediate course in classical mechanics.

Author : K. W. Chang,F. A. Howes
Publisher : Springer Science & Business Media
Page : 191 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461211143

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Nonlinear Singular Perturbation Phenomena by K. W. Chang,F. A. Howes Pdf

Our purpose in writing this monograph is twofold. On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic behavior of solutions of certain classes of singularly perturbed nonlinear boundary value problems. On the other, we hope to raise along the way a number of questions for further study, mostly ques tions we ourselves are unable to answer. The presentation involves a study of both scalar and vector boundary value problems for ordinary dif ferential equations, by means of the consistent use of differential in equality techniques. Our results for scalar boundary value problems obeying some type of maximum principle are fairly complete; however, we have been unable to treat, under any circumstances, problems involving "resonant" behavior. The linear theory for such problems is incredibly complicated already, and at the present time there appears to be little hope for any kind of general nonlinear theory. Our results for vector boundary value problems, even those admitting higher dimensional maximum principles in the form of invariant regions, are also far from complete. We offer them with some trepidation, in the hope that they may stimulate further work in this challenging and important area of differential equa tions. The research summarized here has been made possible by the support over the years of the National Science Foundation and the National Science and Engineering Research Council.

Author : Valentin Afraimovich,José António Tenreiro Machado,Jiazhong Zhang
Publisher : Springer
Page : 276 pages
File Size : 43,8 Mb
Release : 2016-04-22
Category : Technology & Engineering
ISBN : 9783319287645

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Complex Motions and Chaos in Nonlinear Systems by Valentin Afraimovich,José António Tenreiro Machado,Jiazhong Zhang Pdf

This book brings together 12 chapters on a new stream of research examining complex phenomena in nonlinear systems—including engineering, physics, and social science. Complex Motions and Chaos in Nonlinear Systems provides readers a particular vantage of the nature and nonlinear phenomena in nonlinear dynamics that can develop the corresponding mathematical theory and apply nonlinear design to practical engineering as well as the study of other complex phenomena including those investigated within social science.

Author : Yasunori Maekawa,Shuichi Jimbo
Publisher : Springer
Page : 303 pages
File Size : 43,7 Mb
Release : 2017-11-01
Category : Mathematics
ISBN : 9783319667645

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Mathematics for Nonlinear Phenomena — Analysis and Computation by Yasunori Maekawa,Shuichi Jimbo Pdf

This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics, electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.

Author : J. Engelbrecht
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 40,8 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9789401588911

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Nonlinear Wave Dynamics by J. Engelbrecht Pdf

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

Author : Freddy Bouchet
Publisher : World Scientific
Page : 386 pages
File Size : 41,7 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814440592

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Peyresq Lectures on Nonlinear Phenomena by Freddy Bouchet Pdf

This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Lin(r)aire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomen

Author : George Rowlands
Publisher : Ellis Horwood Limited
Page : 172 pages
File Size : 44,7 Mb
Release : 1993
Category : Mathematical physics
ISBN : 013104043X

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Non-Linear Phenomena in Science and Engineering by George Rowlands Pdf

Author : J.L. Munoz-Cobo,F.C. Difilippo
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 49,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781468456134

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Noise and Nonlinear Phenomena in Nuclear Systems by J.L. Munoz-Cobo,F.C. Difilippo Pdf

The main goal of the meeting was to facilitate and encourage the application of recent developments in the physical and mathematical sciences to the analysis of deterministic and stochastic processes in nuclear engineering. In contrast with the rapid growth (triggered by computer developments) of nonlinear analysis in other branches of the physical sciences, the theoretical analysis of nuclear reactors is still based on linearized models of the neutronics and thermal-hydraulic feedback loop, an approach that ignores some intrinsic nonlinearities of the real system. The subject of noise was added because of the importance of the noise technique in detecting abnormalities associated with perturbations of sufficient amplitude to generate nonlinear processes. Consequently the organizers of the meeting invited a group of leading researchers in the field of noise and nonlinear phenomena in nuclear systems to report on recent advances in their area of research. A selected subgroup of researchers in areas outside the reactor field provided enlightenment on new theoretical developments of immediate relevance to nuclear dynamics theory.