Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations

Author: Mi-Ho Giga

Publisher: Springer Science & Business Media

Published: 2010-05-30

Total Pages: 307

ISBN-13: 0817646515

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This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.


Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data

Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data

Author: Stephen J. Guastello

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 616

ISBN-13: 1439820023

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Although its roots can be traced to the 19th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflect


Progress in Optics

Progress in Optics

Author: Taco Visser

Publisher: Elsevier

Published: 2021-04-16

Total Pages: 306

ISBN-13: 0323850928

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Progress in Optics, Volume 66, highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors. It contains five reviews of the latest developments in optics. - This volume covers medical imaging, physical optics, integrated optics, and quantum optics - Includes contributions from leading authorities in the field of optics - Presents timely, state-of-the-art reviews on advances in optics


Leonid Isaakovich Mandelstam

Leonid Isaakovich Mandelstam

Author: Alexander Pechenkin

Publisher: Springer Science & Business Media

Published: 2013-10-05

Total Pages: 245

ISBN-13: 3319005723

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This biography of the famous Soviet physicist Leonid Isaakovich Mandelstam (1889-1944), who became a Professor at Moscow State University in 1925, describes his contributions to both physics and technology, as well as discussing the scientific community which formed around him, usually called the Mandelstam school. Mandelstam’s life story is thereby placed in its proper cultural context. The following more general issues are taken under consideration: the impact of German scientific culture on Russian science; the problems and fates of Russian intellectuals during the revolutionary and post-revolutionary years; the formation of the Soviet Academy of Sciences; and transformation of the system of higher education in the USSR during the 1920's and 1930's.The author shows that Mandelstam’s fundamental writings and his lectures notes allow to reconstruct his philosophy of science and his approach to the social and ethical functions of science and science education. That reconstruction is enhanced through extensive use of hitherto unpublished archival material as well as the transcripts of personal interviews conducted by the author.


Nonlinear Time Series Analysis

Nonlinear Time Series Analysis

Author: Holger Kantz

Publisher: Cambridge University Press

Published: 2004

Total Pages: 390

ISBN-13: 9780521529020

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The paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising mathematical structures. In the applied sciences, deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which do not seem to be inherently stochastic. The most direct link between chaos theory and the real world is the analysis of time series from real systems in terms of nonlinear dynamics. Experimental technique and data analysis have seen such dramatic progress that, by now, most fundamental properties of nonlinear dynamical systems have been observed in the laboratory. Great efforts are being made to exploit ideas from chaos theory wherever the data displays more structure than can be captured by traditional methods. Problems of this kind are typical in biology and physiology but also in geophysics, economics, and many other sciences.


Nonlinear Systems in Heat Transfer

Nonlinear Systems in Heat Transfer

Author: Davood Domairry Ganji

Publisher: Elsevier

Published: 2017-09-15

Total Pages: 289

ISBN-13: 0128120207

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Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems. This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies. - Demonstrates applied mathematical techniques in the engineering applications, especially in nonlinear phenomena - Exhibits a complete understanding of analytical methods and nonlinear differential equations in heat transfer - Provides the tools to model and interpret applicable methods in heat transfer processes or systems to solve related complexities


Introduction To Nonlinear Dynamics For Physicists

Introduction To Nonlinear Dynamics For Physicists

Author: Henry D I Abarbanel

Publisher: World Scientific

Published: 1993-06-23

Total Pages: 170

ISBN-13: 9814504122

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This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.


Progress in Optics

Progress in Optics

Author:

Publisher: Elsevier

Published: 2009-01-06

Total Pages: 358

ISBN-13: 0080879314

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In the fourty-seven years that have gone by since the first volume of Progress in Optics was published, optics has become one of the most dynamic fields of science. The volumes in this series which have appeared up to now contain more than 300 review articles by distinguished research workers, which have become permanent records for many important developments. - Backscattering and Anderson localization of light - Advances in oliton manipulation in optical lattices - Fundamental quantum noise in optical amplification - Invisibility cloaks