<電子ブック>
Continuation and Bifurcations: Numerical Techniques and Applications

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 In September 1989, a NATO Advanced Research Workshop on "Continuation and BIfurcations: NumerIcal TechnIques and Applications" was held at the Katholieke Unlversiteit Leuven, Belgium. Participants cam...e from 10 countries in Europe and North America and were mainly from universities and research institutes. This proceedings volume contains 26 of the 38 papers which were presented at the meeting. Abstracts of most other contrIbutions are also included. The central theme of the workshop was the solution of parameter dependent nonlinear problems using numerical continuation. More specifically the aims can be stated as: to descrIbe typIcal bifurcation problems In sclentiftc, engineering and industrial problems; to discuss current mathematical ideas and new developments in numerical analysis and numerical techniques and to describe and evaluate program packages and to discuss future needs with respect to software. The interests of the participants extended over the complete spectrum of theory, numerical analysis, software and applications, and this spread is reflected both in the composition of this volume and in several of the papers. For example, there are contributions on the application of Centre ManIfold and Uapunov Schmidt theory to derive low dimensional systems which can be analysed by normal form theory for dynamical systems or singularIty theory.続きを見る
目次 Bifurcation to rotating waves from non-trivial steady-states
Use of approximate inertial manifolds in bifurcation calculations
Understanding steady-state bifurcation diagrams for a model reaction-diffusion system
Bifurcations, chaos and self-organization in reaction-diffusion systems
Eigenvalue problems with the symmetry of a group and bifurcations
Steady-state/steady-state mode interaction in nonlinear equations with Z2-symmetry
Symbolic computation and bifurcation methods
Bifurcation analysis: a combined numerical and analytical approach
to the numerical solution of symmetry-breaking bifurcation problems
A computational method and path following for periodic solutions with symmetry
Global bifurcations and their numerical computation
Computation of invariant manifold bifurcations
A method for homoclinic and heteroclinic continuation in two and three dimensions
The global attractor under discretisation
The numerical detection of Hopf bifurcation points
A Newton-like method for simple bifurcation problems with application to large sparse systems
Aspects of continuation software
Interactive system for studies in nonlinear dynamics
LINLBF: A program for continuation and bifurcation analysis of equilibria up to codimension three
On the topology of three-dimensional separations, A guide for classification
The construction of cubature formulae using continuation and bifurcation software
Determining an Organizing Center for Passive Optical Systems
Optimization by continuation
Stability of Marangoni convection in a microgravity environment
Computing with reaction-diffusion systems: applications in image processing
Bifurcation of Codimension 2 for a discrete map
Bifurcation of periodic solutions in PDE's: Numerical techniques and applications (abstract)
Bifurcation and chaos in Chua's circuit family (abstract)
Continuation and collocation for parameter dependent boundary value problems (abstract)
Porous medium combustion (abstract)
Block elimination and the computation of simple turning points (abstract)
Bifurcation into gaps in the essential spectrum (abstract)
Application of numerical continuation in aerospace problems (abstract)
Application of a reduced basis method in structural analysis (abstract)
Some applications of bifurcation theory in engineering (abstract)
Higher order predictors in numerical path following schemes (abstract).
続きを見る
本文を見る Full text available from SpringerLink ebooks - Physics and Astronomy (Archive)

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28