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| Author | : Eckehard Schöll |
| Publisher | : Cambridge University Press |
| Total Pages | : 422 |
| Release | : 2001-02-22 |
| Genre | : Mathematics |
| ISBN | : 0521451868 |
This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.
| Author | : K Aoki |
| Publisher | : CRC Press |
| Total Pages | : 580 |
| Release | : 2000-12-07 |
| Genre | : Science |
| ISBN | : 9780750305143 |
The field of nonlinear dynamics and low-dimensional chaos has developed rapidly over the past twenty years. The principal advances have been in theoretical aspects but more recent applications in a wide variety of the sciences have been made. Nonlinear Dynamics and Chaos in Semiconductors is the first book to concentrate on specific physical and experimental situations in semiconductors as well as examine how to use chaos theory to explain semiconductor phenomena. Written by a well-respected researcher of chaos in semiconductors, Nonlinear Dynamics and Chaos in Semiconductors provides a rich and detailed account of progress in research on nonlinear effects in semiconductor physics. Discussing both theory and experiment, the author shows how this powerful combination has lead to real progress with difficult nonlinear problems in this technologically important field. Nonlinear carrier dynamics, caused by low-temperature impact ionization avalanche of impurities in extrinsic semiconductors, and the emergence of intractable chaos are treated in detail. The book explores impact ionization models, linear stability analysis, bifurcation theory, fractal dimensions, and various analytical methods in chaos theory. It also describes spatial and spatiotemporal evolution of the current density filament formed by the impact ionization avalanche.
| Author | : Jorge Carballido-Landeira |
| Publisher | : Springer |
| Total Pages | : 106 |
| Release | : 2019-04-29 |
| Genre | : Mathematics |
| ISBN | : 303016585X |
This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the “2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems,” held at the Basque Center for Applied Mathematics, Bilbao in September 2016. Embracing diverse disciplines and using multidisciplinary approaches – including theoretical concepts, simulations and experiments – these contributions highlight the nonlinear nature of biological systems in order to be able to reproduce their complex behavior. Edited by the conference organizers and featuring results that represent recent findings and not necessarily those presented at the conference, the book appeals to applied mathematicians, biophysicists and computational biologists.
| Author | : Günter Radons |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 377 |
| Release | : 2005-11-02 |
| Genre | : Science |
| ISBN | : 3540268693 |
Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.
| Author | : Luis L. Bonilla |
| Publisher | : John Wiley & Sons |
| Total Pages | : 287 |
| Release | : 2009-12-09 |
| Genre | : Science |
| ISBN | : 9783527628681 |
The present book introduces and develops mathematical techniques for the treatment of nonlinear waves and singular perturbation methods at a level that is suitable for graduate students, researchers and faculty throughout the natural sciences and engineering. The practice of implementing these techniques and their value are largely realized by showing their application to problems of nonlinear wave phenomena in electronic transport in solid state materials, especially bulk semiconductors and semiconductor superlattices. The authors are recognized leaders in this field, with more than 30 combined years of contributions.
| Author | : Günter Radons |
| Publisher | : John Wiley & Sons |
| Total Pages | : 475 |
| Release | : 2010-01-12 |
| Genre | : Technology & Engineering |
| ISBN | : 9783527629381 |
A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
| Author | : Kathy Lüdge |
| Publisher | : John Wiley & Sons |
| Total Pages | : 412 |
| Release | : 2012-04-09 |
| Genre | : Science |
| ISBN | : 3527639837 |
A distinctive discussion of the nonlinear dynamical phenomena of semiconductor lasers. The book combines recent results of quantum dot laser modeling with mathematical details and an analytic understanding of nonlinear phenomena in semiconductor lasers and points out possible applications of lasers in cryptography and chaos control. This interdisciplinary approach makes it a unique and powerful source of knowledge for anyone intending to contribute to this field of research. By presenting both experimental and theoretical results, the distinguished authors consider solitary lasers with nano-structured material, as well as integrated devices with complex feedback sections. In so doing, they address such topics as the bifurcation theory of systems with time delay, analysis of chaotic dynamics, and the modeling of quantum transport. They also address chaos-based cryptography as an example of the technical application of highly nonlinear laser systems.
| Author | : Eckehard Schöll |
| Publisher | : John Wiley & Sons |
| Total Pages | : 849 |
| Release | : 2008-09-08 |
| Genre | : Science |
| ISBN | : 3527622322 |
This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.
| Author | : Alwyn Scott |
| Publisher | : Routledge |
| Total Pages | : 1107 |
| Release | : 2006-05-17 |
| Genre | : Reference |
| ISBN | : 1135455589 |
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
| Author | : Y Arakawa |
| Publisher | : CRC Press |
| Total Pages | : 888 |
| Release | : 2002-09-30 |
| Genre | : Science |
| ISBN | : 1482268981 |
An international perspective on recent research, Compound Semiconductors 2001 provides an overview of important developments in III-V compound semiconductors, such as GaAs, InP, and GaN; II-VI compounds, such as ZnSe and CdTe; and IV-IV compounds, such as SiC and SiGe. The book contains 139 papers arranged in chapters on electronic devices, optical
