Stability Instability And Chaos


Stability Instability And Chaos
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Stability Instability And Chaos


Stability Instability And Chaos
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Author : Paul Glendinning
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-25

Stability Instability And Chaos written by Paul Glendinning and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-25 with Mathematics categories.


An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.



Stability Instability And Chaos


Stability Instability And Chaos
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Author : Paul Glendinning
language : en
Publisher:
Release Date : 1994

Stability Instability And Chaos written by Paul Glendinning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Stability Instability And Chaos


Stability Instability And Chaos
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Author : Paul Glendinning
language : en
Publisher:
Release Date : 1993

Stability Instability And Chaos written by Paul Glendinning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.




Semiconductor Lasers


Semiconductor Lasers
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Author : Junji Ohtsubo
language : en
Publisher: Springer
Release Date : 2017-05-03

Semiconductor Lasers written by Junji Ohtsubo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-03 with Science categories.


This book describes the fascinating recent advances made concerning the chaos, stability and instability of semiconductor lasers, and discusses their applications and future prospects in detail. It emphasizes the dynamics in semiconductor lasers by optical and electronic feedback, optical injection, and injection current modulation. Applications of semiconductor laser chaos, control and noise, and semiconductor lasers are also demonstrated. Semiconductor lasers with new structures, such as vertical-cavity surface-emitting lasers and broad-area semiconductor lasers, are intriguing and promising devices. Current topics include fast physical number generation using chaotic semiconductor lasers for secure communication, development of chaos, quantum-dot semiconductor lasers and quantum-cascade semiconductor lasers, and vertical-cavity surface-emitting lasers. This fourth edition has been significantly expanded to reflect the latest developments. The fundamental theory of laser chaos and the chaotic dynamics in semiconductor lasers are discussed, but also for example the method of self-mixing interferometry in quantum-cascade lasers, which is indispensable in practical applications. Further, this edition covers chaos synchronization between two lasers and the application to secure optical communications. Another new topic is the consistency and synchronization property of many coupled semiconductor lasers in connection with the analogy of the dynamics between synaptic neurons and chaotic semiconductor lasers, which are compatible nonlinear dynamic elements. In particular, zero-lag synchronization between distant neurons plays a crucial role for information processing in the brain. Lastly, the book presents an application of the consistency and synchronization property in chaotic semiconductor lasers, namely a type of neuro-inspired information processing referred to as reservoir computing.



Instabilities Chaos And Turbulence


Instabilities Chaos And Turbulence
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Author : Paul Manneville
language : en
Publisher: World Scientific
Release Date : 2010

Instabilities Chaos And Turbulence written by Paul Manneville and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.


This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.



Introduction To Hydrodynamic Stability


Introduction To Hydrodynamic Stability
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Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-09

Introduction To Hydrodynamic Stability written by P. G. Drazin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-09 with Science categories.


Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.



Perturbation Methods Instability Catastrophe And Chaos


Perturbation Methods Instability Catastrophe And Chaos
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Author : C F Chan Man Fong
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-06-01

Perturbation Methods Instability Catastrophe And Chaos written by C F Chan Man Fong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-01 with Science categories.


This important book introduces perturbation and qualitative methods for differential equations in terms understandable to students with only a basic knowledge of calculus and ordinary linear differential equations. Theorems are stated clearly with their limitations and restrictions and are applied to solve examples from various disciplines. The writing style is informal and new ideas are introduced gradually via concepts already familiar to the reader.



Nonlinear Instability Chaos And Turbulence


Nonlinear Instability Chaos And Turbulence
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Author : Lokenath Debnath
language : en
Publisher: Computational Mechanics
Release Date : 1998

Nonlinear Instability Chaos And Turbulence written by Lokenath Debnath and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Chaotic behavior in systems categories.


The second volume in a study of nonlinear stability, chaos and turbulence. It demonstrates the importance of mathematical, computational and experimental techniques to the advancement of research in nonlinear instability, chaotic motions and turbulent flow systems.



Nonlinear Dynamics And Chaos


Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.


This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.



Nonlinear Spatio Temporal Dynamics And Chaos In Semiconductors


Nonlinear Spatio Temporal Dynamics And Chaos In Semiconductors
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Author : Eckehard Schöll
language : en
Publisher: Cambridge University Press
Release Date : 2001-02-22

Nonlinear Spatio Temporal Dynamics And Chaos In Semiconductors written by Eckehard Schöll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-22 with Mathematics categories.


This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.