Computational Methods In Bifurcation Theory And Dissipative Structures
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Computational Methods In Bifurcation Theory And Dissipative Structures
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Author : M. Kubicek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Methods In Bifurcation Theory And Dissipative Structures written by M. Kubicek 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 Science categories.
"Dissipative structures" is a concept which has recently been used in physics to discuss the formation of structures organized in space and/or time at the expense of the energy flowing into the system from the outside. The space-time structural organization of biological systems starting from the subcellular level up to the level of ecological systems, coherent structures in laser and of elastic stability in mechanics, instability in hydro plasma physics, problems dynamics leading to the development of turbulence, behavior of electrical networks and chemical reactors form just a short list of problems treated in this framework. Mathematical models constructed to describe these systems are usually nonlinear, often formed by complicated systems of algebraic, ordinary differ ential, or partial differential equations and include a number of character istic parameters. In problems of theoretical interest as well as engineering practice, we are concerned with the dependence of solutions on parameters and particularly with the values of parameters where qualitatively new types of solutions, e.g., oscillatory solutions, new stationary states, and chaotic attractors, appear (bifurcate). Numerical techniques to determine both bifurcation points and the depen dence of steady-state and oscillatory solutions on parameters are developed and discussed in detail in this text. The text is intended to serve as a working manual not only for students and research workers who are interested in dissipative structures, but also for practicing engineers who deal with the problems of constructing models and solving complicated nonlinear systems.
Computational Methods In Bifurcation Theory And Dissipative Structures
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Author : Milan Kubíček
language : en
Publisher: Springer
Release Date : 1983
Computational Methods In Bifurcation Theory And Dissipative Structures written by Milan Kubíček and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Bifurcation theory categories.
Computational Methods In Bifurcation Theory And Dissipative Structures
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Author : M Kubicek
language : en
Publisher:
Release Date : 1983-11-01
Computational Methods In Bifurcation Theory And Dissipative Structures written by M Kubicek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-11-01 with categories.
Computational Methods In Bifurcation Theory And Dissipative Structures
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Author : Milan Kubicek
language : it
Publisher:
Release Date : 1983
Computational Methods In Bifurcation Theory And Dissipative Structures written by Milan Kubicek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Chaotic Behaviour Of Deterministic Dissipative Systems
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Author : Milos Marek
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-20
Chaotic Behaviour Of Deterministic Dissipative Systems written by Milos Marek 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 1995-07-20 with Science categories.
This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Bifurcation And Stability Of Dissipative Systems
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Author : Q.S. Nguyen
language : en
Publisher: Springer
Release Date : 2014-05-04
Bifurcation And Stability Of Dissipative Systems written by Q.S. Nguyen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.
The first theme concerns the plastic buckling of structures in the spirit of Hill’s classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson’s work. Some recent results on the generalized standard model are given and their connection to Hill’s general formulation is presented. Instability phenomena of inelastic flow processes such as strain localization and necking are discussed. The second theme concerns stability and bifurcation problems in internally damaged or cracked colids. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution. Stability and non-bifurcation criteria in the sense of Hill can be again obtained from the discussion of the rate response.
Nonlinear Stability Of Structures
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Author : A.N. Kounadis
language : en
Publisher: Springer
Release Date : 2014-05-04
Nonlinear Stability Of Structures written by A.N. Kounadis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
The present volume gives a very modern treatment of all theoretical as well as computational aspects of nonlinear structural stability. The theoretical part starts with the basic concepts of nonlinear static stability and classical dynamics and proceeds subsequently with recent progress in nonlinear dynamic stability and dynamic buckling of structures including an introduction to chaos. The first paper overviews theory and modelling of various structural instability problems. In the second section, nonlinear dynamic buckling and stability of autonomous discrete dissipative structural systems, gradient and non-gradient are discussed. The third paper handles stability and bifurcation phenomena in dynamical systems. The fourth paper contains an introduction to nonlinear dynamics and chaos. Special attention is devoted to the direct computation of critical points and path-switching strategies. A variety of numerical simulations for complicated nonlinear unstable responses also illustrate this part.
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Author : 马雷克
language : zh-CN
Publisher:
Release Date : 1990
written by 马雷克 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
译自: Computational methods in bifurcation theory and dissipative structures/M. Kubicek. M. Marek. -- New York: Spring-Verlag, 1983
The Least Squares Finite Element Method
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Author : Bo-nan Jiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
The Least Squares Finite Element Method written by Bo-nan Jiang 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 2013-03-14 with Science categories.
This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
Acta Numerica 2000 Volume 9
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-13
Acta Numerica 2000 Volume 9 written by Arieh Iserles 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 2000-07-13 with Mathematics categories.
An annual volume presenting substantive survey articles in numerical analysis and scientific computing.