標(biāo)題: Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 20043rd edition Springer Science+Business Media New York 2004 Mathematica.a [打印本頁(yè)] 作者: 精明 時(shí)間: 2025-3-21 17:18
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作者: 動(dòng)脈 時(shí)間: 2025-3-21 23:28 作者: 使聲音降低 時(shí)間: 2025-3-22 04:02
Deric St. Julian Bown, F.B.D.S., F.R.S.A.,ions of ., and their .. As we shall see while analyzing the ., invariant sets can have very complex structures. This is closely related to the fact discovered in the 1960s that rather simple dynamical systems may behave “randomly,” or “chaotically.” Finally, we discuss how differential equations can作者: Notify 時(shí)間: 2025-3-22 06:57
https://doi.org/10.1007/978-3-319-44573-1 systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space . = ?..作者: BARGE 時(shí)間: 2025-3-22 08:52 作者: 異端邪說(shuō)下 時(shí)間: 2025-3-22 14:13 作者: 異端邪說(shuō)下 時(shí)間: 2025-3-22 20:24
Irving Fisher and Interest Theory dynamical systems. First we consider in detail two- and three-dimensional cases where geometrical intuition can be fully exploited. Then we show how to reduce generic .-dimensional cases to the considered ones plus a four-dimensional case treated in Appendix A.作者: Alpha-Cells 時(shí)間: 2025-3-23 00:22
Ben Gidley,Peter Scholten,Ilona van Breugellist of all generic one-parameter bifurcations is unknown. In this chapter we study several unrelated bifurcations that occur in one-parameter continuous-time dynamical systems.where . is a smooth function of (., .). We start by considering global bifurcations of orbits that are homoclinic to nonhyp作者: Rodent 時(shí)間: 2025-3-23 02:52
Mainstreaming Islam in Indonesiach bifurcations. Then, we derive a . for each bifurcation in the minimal possible phase dimension and specify relevant genericity conditions. Next, we truncate higher-order terms and present the bifurcation diagrams of the resulting system. The analysis is completed by a discussion of the effect of 作者: 自制 時(shí)間: 2025-3-23 07:03
https://doi.org/10.1007/978-981-10-5320-7r the final two bifurcations in the previous chapter, the description of the majority of these bifurcations is incomplete in principle. For all but two cases, only . normal forms can be constructed. Some of these normal forms will be presented in terms of associated planar continuous-time systems wh作者: flutter 時(shí)間: 2025-3-23 11:03
https://doi.org/10.1007/978-981-19-1794-3 routines like those for solving linear systems, finding eigenvectors and eigenvalues, and performing numerical integration of ODEs are known to the reader. Instead we focus on algorithms that are more specific to bifurcation analysis, specifically those for the location of equilibria (fixed points)作者: 整理 時(shí)間: 2025-3-23 14:48 作者: 廣告 時(shí)間: 2025-3-23 20:48 作者: 易受刺激 時(shí)間: 2025-3-24 00:27 作者: beta-cells 時(shí)間: 2025-3-24 05:25 作者: xanthelasma 時(shí)間: 2025-3-24 10:13 作者: 墊子 時(shí)間: 2025-3-24 14:09
Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria, dynamical systems. First we consider in detail two- and three-dimensional cases where geometrical intuition can be fully exploited. Then we show how to reduce generic .-dimensional cases to the considered ones plus a four-dimensional case treated in Appendix A.作者: ELATE 時(shí)間: 2025-3-24 18:55 作者: 陰郁 時(shí)間: 2025-3-24 20:09
Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems,urcations in symmetric systems, which are those systems that are invariant with respect to the representation of a certain symmetry group. After giving some general results on bifurcations in such systems, we restrict our attention to bifurcations of equilibria and cycles in the presence of the simp作者: 樸素 時(shí)間: 2025-3-24 23:32
Numerical Analysis of Bifurcations,. Appendix B gives some background information on the bialternate matrix product used to detect Hopf and Neimark-Sacker bifurcations. Appendix C presents numerical methods for detection of higher-order homoclinic bifurcations. The bibliographical notes in Appendix D include references to standard no作者: 搏斗 時(shí)間: 2025-3-25 05:26 作者: 縮影 時(shí)間: 2025-3-25 08:46 作者: tic-douloureux 時(shí)間: 2025-3-25 14:18
Ben Gidley,Peter Scholten,Ilona van Breugelurcations in symmetric systems, which are those systems that are invariant with respect to the representation of a certain symmetry group. After giving some general results on bifurcations in such systems, we restrict our attention to bifurcations of equilibria and cycles in the presence of the simp作者: jeopardize 時(shí)間: 2025-3-25 17:00
https://doi.org/10.1007/978-981-19-1794-3. Appendix B gives some background information on the bialternate matrix product used to detect Hopf and Neimark-Sacker bifurcations. Appendix C presents numerical methods for detection of higher-order homoclinic bifurcations. The bibliographical notes in Appendix D include references to standard no作者: 拾落穗 時(shí)間: 2025-3-25 23:38
0066-5452 were new become standard and routinely used by the research and development community. Hopefully, this edition of the book will contribute to this process. The978-1-4757-3978-7Series ISSN 0066-5452 Series E-ISSN 2196-968X 作者: Osteoarthritis 時(shí)間: 2025-3-26 03:26 作者: 一加就噴出 時(shí)間: 2025-3-26 07:28 作者: 諂媚于人 時(shí)間: 2025-3-26 09:54
One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems, possible dimension in which they can occur: the fold and flip bifurcations for scalar systems and the Neimark-Sacker bifurcation for planar systems. In Chapter 5 it will be shown how to apply these results to .-dimensional systems when . is larger than one or two, respectively.作者: 合乎習(xí)俗 時(shí)間: 2025-3-26 14:05 作者: Axillary 時(shí)間: 2025-3-26 19:28
0066-5452 nt the material made sense. The idea was to write a simple text that could serve as a seri- ous introduction to the subject. Of course, the meaning of "simplicity" varies from person to person and from country to country. The word "introduction" contains even more ambiguity. To start reading this bo作者: 缺乏 時(shí)間: 2025-3-27 00:49 作者: 串通 時(shí)間: 2025-3-27 01:39 作者: CIS 時(shí)間: 2025-3-27 07:53 作者: overhaul 時(shí)間: 2025-3-27 11:23 作者: Vulnerable 時(shí)間: 2025-3-27 14:13
Mainstreaming Islam in Indonesiadependent version of the Center Manifold Theorem and Theorem 5.4 (see Chapter 5). We close this chapter with the derivation of the critical normal form coefficients for all codim 2 bifurcations using a combined reduction/normalization technique.作者: 連詞 時(shí)間: 2025-3-27 21:12
Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems,dependent version of the Center Manifold Theorem and Theorem 5.4 (see Chapter 5). We close this chapter with the derivation of the critical normal form coefficients for all codim 2 bifurcations using a combined reduction/normalization technique.作者: incontinence 時(shí)間: 2025-3-27 22:44
Introduction to Dynamical Systems,ions of ., and their .. As we shall see while analyzing the ., invariant sets can have very complex structures. This is closely related to the fact discovered in the 1960s that rather simple dynamical systems may behave “randomly,” or “chaotically.” Finally, we discuss how differential equations can作者: 情感脆弱 時(shí)間: 2025-3-28 02:45 作者: Armory 時(shí)間: 2025-3-28 07:48 作者: 絕種 時(shí)間: 2025-3-28 11:36
Bifurcations of Equilibria and Periodic Orbits in ,-Dimensional Dynamical Systems,nsions. Indeed, the systems we analyzed were either one- or two-dimensional. This chapter shows that these bifurcations occur in “essentially” the same way for generic .-dimensional systems. As we shall see, there are certain parameter-dependent one- or two-dimensional . on which the system exhibits作者: Granular 時(shí)間: 2025-3-28 15:37 作者: Morbid 時(shí)間: 2025-3-28 22:01
Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems,list of all generic one-parameter bifurcations is unknown. In this chapter we study several unrelated bifurcations that occur in one-parameter continuous-time dynamical systems.where . is a smooth function of (., .). We start by considering global bifurcations of orbits that are homoclinic to nonhyp作者: 跳動(dòng) 時(shí)間: 2025-3-28 23:49
Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems,ch bifurcations. Then, we derive a . for each bifurcation in the minimal possible phase dimension and specify relevant genericity conditions. Next, we truncate higher-order terms and present the bifurcation diagrams of the resulting system. The analysis is completed by a discussion of the effect of 作者: Carcinogenesis 時(shí)間: 2025-3-29 03:30
Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems,r the final two bifurcations in the previous chapter, the description of the majority of these bifurcations is incomplete in principle. For all but two cases, only . normal forms can be constructed. Some of these normal forms will be presented in terms of associated planar continuous-time systems wh作者: 聰明 時(shí)間: 2025-3-29 08:17
Numerical Analysis of Bifurcations, routines like those for solving linear systems, finding eigenvectors and eigenvalues, and performing numerical integration of ODEs are known to the reader. Instead we focus on algorithms that are more specific to bifurcation analysis, specifically those for the location of equilibria (fixed points)
