標題: Titlebook: Continuation and Bifurcations: Numerical Techniques and Applications; Dirk Roose,Bart De Dier,Alastair Spence Book 1990 Kluwer Academic Pu [打印本頁] 作者: CT951 時間: 2025-3-21 16:59
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作者: 親愛 時間: 2025-3-22 00:02
Use of Approximate Inertial Manifolds in Bifurcation Calculations,of the flow of the PDE to the inertial manifold is given by a finite set of ODEs called an inertial form, which captures all the long time dynamic behavior of the PDE. We give a brief survey of several numerical schemes to approximate inertial manifolds and hence inertial forms. We then implement th作者: 史前 時間: 2025-3-22 01:33 作者: 反省 時間: 2025-3-22 04:48
Bifurcations, Chaos and Self-Organization in Reaction-Diffusion Systems,ight of recent advances in nonlinear mathematics. Chaos and mixed-mode oscillations in far- from-equilibrium chemical reactions are first described. We show how homoclinic tangencies of Sil’nikov type and associated to a cycle can help us in elucidating the complex bifurcation sequences and the rela作者: 暗指 時間: 2025-3-22 12:04
Steady-State/Steady-State Mode Interaction in Nonlinear Equations with Z2-Symmetry,uivariance) condition. Specifically we analyze the solution structure near a point where a path of symmetry-breaking bifurcations and a path of fold points intersect. The treatment is such that numerical information is obtained which could prove useful when switching from one path to another.作者: 衍生 時間: 2025-3-22 13:17
Symbolic Computation and Bifurcation Methods,y, for the calculation of bifurcation points. However, analytical methods are frequently needed to characterize the bifurcation, being also a valuable guide for the numerical approach. As in the effective application of bifurcation methods the hand calculation of very long expressions is normally re作者: 衍生 時間: 2025-3-22 18:02 作者: propose 時間: 2025-3-23 01:18 作者: Accord 時間: 2025-3-23 03:33 作者: 產生 時間: 2025-3-23 09:12
Global Bifurcations and their Numerical Computation,periodic orbits at a homoclinic orbit. In this paper we extend our numerical approach to connecting orbits and the error analysis developed in [1]. The basic nondegeneracy condition is characterized by a geometric transversality condition. Further, the analysis of the error obtained by truncating to作者: 有特色 時間: 2025-3-23 12:15
Computation of Invariant Manifold Bifurcations, is considered when the trajectory is formed by an intersection of the stable and the unstable manifolds of a saddle equilibrium point with only one positive eigenvalue. Explicit formulae are derived for quadratic expansions of the manifolds. Methods for computation of bifurcation parameter values f作者: 長矛 時間: 2025-3-23 17:06 作者: 使乳化 時間: 2025-3-23 21:16 作者: Delectable 時間: 2025-3-23 23:29
A Newton-Like Method for Simple Bifurcation Problems with Application to Large Sparse Systems,olutions with a simplified Newton-like method which is related to the modifications of Newton’s method for the singular problems. Rank-1 corrections are discussed for large sparse problems to reduce the computational cost.作者: 密碼 時間: 2025-3-24 02:46 作者: 古老 時間: 2025-3-24 08:09 作者: Adrenaline 時間: 2025-3-24 14:01 作者: FLOAT 時間: 2025-3-24 16:42 作者: Mindfulness 時間: 2025-3-24 20:30
Symbolic Computation and Bifurcation Methods,nerve equations, as studied by Golubitsky and Langford in a celebrated paper. A coefficient of its normal form never computed is explicitely shown, what implies an unfounded statement in the quoted work.作者: Pulmonary-Veins 時間: 2025-3-25 03:09
The Global Attractor Under Discretisation,ons. Hence a method complementary to the bifurcation analysis is described, the aim being to construct methods for which spurious solutions do not exist .Δ.; for infinite dimensional dynamical systems the method relies on examining steady boundary value problems (which govern the existence of spurio作者: linguistics 時間: 2025-3-25 06:00 作者: HAVOC 時間: 2025-3-25 11:06 作者: Aprope 時間: 2025-3-25 15:42
Science Networks. Historical StudiesFor parameter dependent nonlinear Γ-equivariant dynamical systems ., along a branch of Γ-symmetric equilibria {(.,λ(.)) : .∈ .} the Jacobians .share the Γ-equivariance with .(.,λ): ..(Here Γ is a compact Lie group of orthogonal .x .-matrices).作者: ARM 時間: 2025-3-25 16:32
Alaa Hamada,Sandro C. Esteves,Ashok AgarwalA numerical method for the detection and continuation of homoclinic and heteroclinic orbits is developed for the case of biparametric dynamical systems in two and three dimensions. We formulate a continuation problem for which the regularity conditions are studied. The numerical method is applied to several systems, some of them well-known.作者: 命令變成大炮 時間: 2025-3-25 20:29
Eigenvalue Problems with the Symmetry of a Group and Bifurcations,For parameter dependent nonlinear Γ-equivariant dynamical systems ., along a branch of Γ-symmetric equilibria {(.,λ(.)) : .∈ .} the Jacobians .share the Γ-equivariance with .(.,λ): ..(Here Γ is a compact Lie group of orthogonal .x .-matrices).作者: 容易懂得 時間: 2025-3-26 00:56
A Method for Homoclinic and Heteroclinic Continuation in Two and Three Dimensions,A numerical method for the detection and continuation of homoclinic and heteroclinic orbits is developed for the case of biparametric dynamical systems in two and three dimensions. We formulate a continuation problem for which the regularity conditions are studied. The numerical method is applied to several systems, some of them well-known.作者: breadth 時間: 2025-3-26 04:22
Understanding Steady-State Bifurcation Diagrams for a Model Reaction-Diffusion System,ions, with the Sel’kov model as a specific example. Apart from the usual linear analysis, other useful analytical tools are scaling laws and singularity theory. On the numerical side we discuss the use of spectral collocation methods.作者: cortex 時間: 2025-3-26 11:41 作者: bacteria 時間: 2025-3-26 14:17 作者: amputation 時間: 2025-3-26 18:00
The Numerical Detection of Hopf Bifurcation Points,aviour can occur. This Hopf bifurcation is characterised by the linearisation about a steady state solution possessing a purely imaginary pair of eigenvalues. The cheap and reliable detection of such bifurcation is not however straightforward. The present paper examines the problem and suggests various strategies for solving it.作者: Prologue 時間: 2025-3-27 00:28 作者: orient 時間: 2025-3-27 01:27
Aspects of Continuation Software, of features and options that appear to be necessary or desirable for continuation codes. With this it is hoped to provide a framework for writing further such codes, and for judging their differences.作者: 裂口 時間: 2025-3-27 06:03 作者: 除草劑 時間: 2025-3-27 09:47 作者: Melanocytes 時間: 2025-3-27 14:01 作者: 戲法 時間: 2025-3-27 18:53
https://doi.org/10.1007/978-3-319-24379-5uivariance) condition. Specifically we analyze the solution structure near a point where a path of symmetry-breaking bifurcations and a path of fold points intersect. The treatment is such that numerical information is obtained which could prove useful when switching from one path to another.作者: 水獺 時間: 2025-3-28 01:13 作者: dilute 時間: 2025-3-28 04:57 作者: COLON 時間: 2025-3-28 08:51
Alessandro Lonardi,Graziano Pravadelliolutions with a simplified Newton-like method which is related to the modifications of Newton’s method for the singular problems. Rank-1 corrections are discussed for large sparse problems to reduce the computational cost.作者: 小鹿 時間: 2025-3-28 13:27 作者: expire 時間: 2025-3-28 17:25 作者: Heart-Attack 時間: 2025-3-28 20:46
Nirmalya Ghosh,Stephen Ashwal,Andre Obenausof the flow of the PDE to the inertial manifold is given by a finite set of ODEs called an inertial form, which captures all the long time dynamic behavior of the PDE. We give a brief survey of several numerical schemes to approximate inertial manifolds and hence inertial forms. We then implement th作者: 舊石器 時間: 2025-3-29 01:05
Andreas Minwegen,Dominik Auras,Gerd Ascheidions, with the Sel’kov model as a specific example. Apart from the usual linear analysis, other useful analytical tools are scaling laws and singularity theory. On the numerical side we discuss the use of spectral collocation methods.作者: Conflagration 時間: 2025-3-29 05:21
Andreas Minwegen,Dominik Auras,Gerd Ascheidight of recent advances in nonlinear mathematics. Chaos and mixed-mode oscillations in far- from-equilibrium chemical reactions are first described. We show how homoclinic tangencies of Sil’nikov type and associated to a cycle can help us in elucidating the complex bifurcation sequences and the rela作者: braggadocio 時間: 2025-3-29 07:49 作者: Sciatica 時間: 2025-3-29 13:23 作者: abduction 時間: 2025-3-29 17:43 作者: 領帶 時間: 2025-3-29 19:43
Ahmed Al-Taie,Horst K. Hahn,Lars Linsentry properties of a nonlinear equation are described by an equivariance property on which all the theory is based. Fixed point spaces are described since they are invariant under the nonlinear operator. The isotypic decomposition is carefully developed as the isotypic components are invariant under 作者: fibroblast 時間: 2025-3-30 01:06 作者: myelography 時間: 2025-3-30 05:15 作者: Rinne-Test 時間: 2025-3-30 12:01 作者: 會議 時間: 2025-3-30 13:04
Alaa Hamada,Sandro C. Esteves,Ashok Agarwalor and survey some recent results in the area. The advantage of concentrating on ω and α limit sets (which are contained in the global attractor) is described. An analysis of spurious bifurcations in the ω and α limit sets is presented for linear multistep methods, using the time-step Δ.as the bifur作者: 他日關稅重重 時間: 2025-3-30 16:55 作者: Favorable 時間: 2025-3-30 23:11
Alessandro Lonardi,Graziano Pravadelliolutions with a simplified Newton-like method which is related to the modifications of Newton’s method for the singular problems. Rank-1 corrections are discussed for large sparse problems to reduce the computational cost.作者: Obscure 時間: 2025-3-31 02:40
The Virtual Sugarcane Biorefinery Concept, of features and options that appear to be necessary or desirable for continuation codes. With this it is hoped to provide a framework for writing further such codes, and for judging their differences.作者: Redundant 時間: 2025-3-31 07:28
Vitamin D Deficiency in Anorexia Nervosa,y or periodic solutions, bifurcation points and limit points in dependence on parameters have been developed and discussed in several available textbooks [1–4,6,7] and in the proceedings of conferences, cf. e.g. [5]. Original software for the analysis of the dependence of stationary solutions on a p作者: Delirium 時間: 2025-3-31 10:24 作者: 驚呼 時間: 2025-3-31 14:46
https://doi.org/10.1007/978-94-009-0659-4Boundary value problem; Software; bifurcation; chaos; classification; combustion; cubature; image processin作者: fetter 時間: 2025-3-31 20:18 作者: rectum 時間: 2025-4-1 01:45
Nato Science Series C:http://image.papertrans.cn/c/image/236957.jpg作者: outskirts 時間: 2025-4-1 04:48 作者: 獨行者 時間: 2025-4-1 07:40 作者: agonist 時間: 2025-4-1 12:47
Bifurcations, Chaos and Self-Organization in Reaction-Diffusion Systems,ted chaotic time evolution observed in these systems. A chemical kinetic example of diffusion-induced spatio-temporal chaos is presented. Finally, we discuss the conditions for pattern formation via spatial symmetry breaking in uniform and non-uniform environments.作者: 詞匯 時間: 2025-4-1 15:20
Introduction to the Numerical Solution of Symmetry- Breaking Bifurcation Problems,the linearisation of the nonlinear operator and this is employed in the efficient detection and computation of bifurcation points. The theory is illustrated throughout with an example and numerical results are presented.作者: Repetitions 時間: 2025-4-1 19:13 作者: adjacent 時間: 2025-4-2 00:50 作者: 炸壞 時間: 2025-4-2 03:11
Interactive System for Studies in Nonlinear Dynamics,tion of computed results can often be quite complicated. Here we discribe our attempt to test the idea whether a unification of available numerical algorithms with the means and approaches of logical programming and knowledge engineering could help to increase productivity of the analysis of a nonlinear dynamical system.作者: Intact 時間: 2025-4-2 10:32
Global Bifurcations and their Numerical Computation,e basic nondegeneracy condition is characterized by a geometric transversality condition. Further, the analysis of the error obtained by truncating to a finite interval is generalized in order to include periodic boundary conditions and to explain the superconvergence phenomenon with respect to the parameter as observed in [1].作者: 大方不好 時間: 2025-4-2 13:21 作者: 劇本 時間: 2025-4-2 16:09
