Perturbation Methods Instability Catastrophe And Chaos
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Perturbation Methods Instability Catastrophe And Chaos
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Author : Man Fong C F Chan
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-06-01
Perturbation Methods Instability Catastrophe And Chaos written by Man Fong C F Chan 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.
Particle Dynamics With Aggregation And Fragmentation
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Author : Culbert B. Laney
language : en
Publisher: Oxford University Press
Release Date : 2025-04-16
Particle Dynamics With Aggregation And Fragmentation written by Culbert B. Laney and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-16 with Science categories.
Particle dynamics with aggregation and fragmentation occurs in almost every branch of science and engineering. Examples include the formation of stars and planets in astrophysics, the formation of colloids and polymers in chemistry, the formation of raindrops and snowflakes in meteorology, the formation of fuel sprays in mechanical engineering, impact damage to aircraft and satellites in aerospace engineering, and drilling and blasting in civil and mining engineering. This is one of the first textbooks to give particle dynamics with aggregation and fragmentation a full treatment, putting it on an equal footing with fluid dynamics and solid mechanics. To help readers understand the connections to fluid dynamics, this book shows how particle dynamics occurs in ideal gases, granular gases, and fluid turbulence. Instead of relying on empirical results that apply only under specific circumstances, the book uses broad physical principles such as conservation of mass, momentum, and energy. The text draws on rigorous mathematical theory and modern high-performance computing, while avoiding the complex details. The book also provides extensive references for those readers who need them. While intended for a graduate level audience, the book is written in a graphically-rich style which will be accessible to advanced undergraduates. In particular, it includes over 100 figures and over 200 examples, most of which are placed into grey boxes to avoid interrupting the main text. While surveying the relevant research literature, this book also draws on the author's unique insights into particle aggregation and fragmentation, gained from participating in relevant research and development activities in industry and academia for over 25 years.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1987
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mechanics, Applied categories.
Nonlinear Economic Dynamics
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Author : Tönu Puu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Economic Dynamics written by Tönu Puu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
The present study deals with nonlinear economic dynamics, with which the author has been concerned the last years. It grew out from the joint work by Professor Martin Beckmann and the present author on nonlinear statics in spatial economics, Beckmann and Pull, "Spatial Economics" (N orth-Holland 1985), later followed by its companion, Beckmann and Puu "Spatial Structures" (Springer-Verlag 1990). The first mono graph mentioned contains sections on price waves and business cycles, but in a linear format. The rest is static theory. The author has finally come to the conviction that linear dynamic modelling has very little to yield. This is due to the poor set of alternatives -decay or explosion of motion -pertinent to linear models. Therefore, the present work centres on non-linearity. Another distinction is that only purely causal models are dealt with, as those formatted as inter-temporal equilibria hardly belong to the more restricted field of dynamics. The spatial origin is visible in the choice of models. Chapters 1 and 2 summarize the work by the author on the structural stability of continuous spatial market eqUilibrium models. Chapter 3 deals with a re-formulation of the ingenious population growth and diffusion model invented by the young Hotelling in 1921. Chapter 4 is a detailed digression on business cycle models in a continuous spatial format with inter-regional trade.
Romanian Astronomical Journal
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Author :
language : en
Publisher:
Release Date : 2001
Romanian Astronomical Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Astronomy categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Chaos In Automatic Control
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Author : Wilfrid Perruquetti
language : en
Publisher: CRC Press
Release Date : 2018-10-03
Chaos In Automatic Control written by Wilfrid Perruquetti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Technology & Engineering categories.
Chaotic behavior arises in a variety of control settings. In some cases, it is beneficial to remove this behavior; in others, introducing or taking advantage of the existing chaotic components can be useful for example in cryptography. Chaos in Automatic Control surveys the latest methods for inserting, taking advantage of, or removing chaos in a variety of applications. This book supplies the theoretical and pedagogical basis of chaos in control systems along with new concepts and recent developments in the field. Presented in three parts, the book examines open-loop analysis, closed-loop control, and applications of chaos in control systems. The first section builds a background in the mathematics of ordinary differential and difference equations on which the remainder of the book is based. It includes an introductory chapter by Christian Mira, a pioneer in chaos research. The next section explores solutions to problems arising in observation and control of closed-loop chaotic control systems. These include model-independent control methods, strategies such as H-infinity and sliding modes, polytopic observers, normal forms using homogeneous transformations, and observability normal forms. The final section explores applications in wireless transmission, optics, power electronics, and cryptography. Chaos in Automatic Control distills the latest thinking in chaos while relating it to the most recent developments and applications in control. It serves as a platform for developing more robust, autonomous, intelligent, and adaptive systems.
Sequential Bifurcation Trees To Chaos In Nonlinear Time Delay Systems
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Author : Siyuan Xing
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Sequential Bifurcation Trees To Chaos In Nonlinear Time Delay Systems written by Siyuan Xing and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy. The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by the period-doubling bifurcation. From finite Fourier series, harmonic amplitude and harmonic phases for periodic motions on the global bifurcation tree are obtained for frequency analysis. Numerical illustrations of periodic motions are given for complex periodic motions in global bifurcation trees. The rich dynamics of the 1-D, delayed, nonlinear dynamical system is presented. Such global sequential periodic motions to chaos exist in nonlinear dynamical systems. The frequency-amplitude analysis can be used for re-construction of analytical expression of periodic motions, which can be used for motion control in dynamical systems.
Research Methods For Postgraduates
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Author : Tony Greenfield
language : en
Publisher: John Wiley & Sons
Release Date : 2016-08-11
Research Methods For Postgraduates written by Tony Greenfield and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-11 with Mathematics categories.
An indispensable reference for postgraduates, providing up to date guidance in all subject areas Methods for Postgraduates brings together guidance for postgraduate students on how to organise, plan and do research from an interdisciplinary perspective. In this new edition, the already wide-ranging coverage is enhanced by the addition of new chapters on social media, evaluating the research process, Kansei engineering and medical research reporting. The extensive updates also provide the latest guidance on issues relevant to postgraduates in all subject areas, from writing a proposal and securing research funds, to data analysis and the presentation of research, through to intellectual property protection and career opportunities. This thoroughly revised new edition provides: Clear and concise advice from distinguished international researchers on how to plan, organise and conduct research. New chapters explore social media in research, evaluate the research process, Kansei engineering and discuss the reporting of medical research. Check lists and diagrams throughout. Praise for the second edition: “... the most useful book any new postgraduate could ever buy.” (New Scientist) “The book certainly merits its acceptance as essential reading for postgraduates and will be valuable to anyone associated in any way with research or with presentation of technical or scientific information of any kind.”(Robotica) Like its predecessors, the third edition of Research Methods for Postgraduates is accessible and comprehensive, and is a must-read for any postgraduate student.
Subject Guide To Books In Print
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Author :
language : en
Publisher:
Release Date : 1991
Subject Guide To Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with American literature categories.