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標題: Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 19982nd edition Springer-Verlag New York 1998 bifurcation.dynamical systems [打印本頁]

作者: Halcyon    時間: 2025-3-21 16:39
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作者: 單純    時間: 2025-3-21 23:39
Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems, 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 . R..
作者: jarring    時間: 2025-3-22 01:23

作者: alabaster    時間: 2025-3-22 05:04

作者: 陰謀    時間: 2025-3-22 12:01

作者: Albinism    時間: 2025-3-22 14:39
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. This remaining case is treated in Appendix 1.
作者: Albinism    時間: 2025-3-22 19:58

作者: 豪華    時間: 2025-3-22 23:54

作者: Seizure    時間: 2025-3-23 02:52
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: anus928    時間: 2025-3-23 07:01

作者: 防銹    時間: 2025-3-23 09:52
Book 19982nd edition bifurcation analysis in a planar system using MAPLE, a symbolic manipulation software. Chapter 4 includes a detailed normal form analysis of the Neimark-Sacker bif- cation in the delayed logistic map. In Chapter 5, we derive explicit f- mulas for the critical normal form coe?cients of all codim 1 b
作者: VALID    時間: 2025-3-23 15:13
Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems,f bifurcations 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
作者: 使人入神    時間: 2025-3-23 18:09

作者: 啞巴    時間: 2025-3-23 23:52

作者: Nerve-Block    時間: 2025-3-24 05:45
Martin Johannes,Ole Thybo Thomsenf bifurcations 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
作者: essential-fats    時間: 2025-3-24 08:05
Adnan Badran,Elias Baydoun,John R. Hillmandix 2 presents numerical methods for detection of higher-order homoclinic bifurcations. The bibliographical notes in Appendix 3 include references to standard noninteractive software packages and interactive programs available for continuation and bifurcation analysis of dynamical systems. Actually,
作者: Valves    時間: 2025-3-24 13:29
https://doi.org/10.1007/978-981-10-1621-9 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 . R..
作者: Painstaking    時間: 2025-3-24 16:35
Electric Generator Maintenance Schedulingpf bifurcations. Then we study these bifurcations in the lowest possible dimensions: the fold bifurcation for scalar systems and the Hopf bifurcation for planar systems. Chapter 5 shows how to “l(fā)ift” these results to .-dimensional situations.
作者: Congestion    時間: 2025-3-24 21:36
M. K. Dhillon,V. K. Kalia,G. T. Gujar 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. This remaining case is treated in Appendix 1.
作者: considerable    時間: 2025-3-24 23:39
Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems, 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 . R..
作者: Alcove    時間: 2025-3-25 05:58

作者: 失眠癥    時間: 2025-3-25 08:07

作者: jarring    時間: 2025-3-25 14:09
Management of Maintenance Operations,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: cylinder    時間: 2025-3-25 19:48

作者: 體貼    時間: 2025-3-25 22:53
Electric Generator Maintenance Schedulingpf bifurcations. Then we study these bifurcations in the lowest possible dimensions: the fold bifurcation for scalar systems and the Hopf bifurcation for planar systems. Chapter 5 shows how to “l(fā)ift” these results to .-dimensional situations.
作者: ARCH    時間: 2025-3-26 00:49

作者: FLOAT    時間: 2025-3-26 05:43

作者: prosthesis    時間: 2025-3-26 10:07
M. K. Dhillon,V. K. Kalia,G. T. Gujar 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. This remaining case is treated in Appendix 1.
作者: mydriatic    時間: 2025-3-26 16:29
Martin Johannes,Ole Thybo Thomsenlist 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 nonhyperb
作者: delusion    時間: 2025-3-26 20:04
Zhuang Zi’s Mentality of Cosmic Libertych 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: 相一致    時間: 2025-3-26 22:39
Commonwealth of Independent States,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: 狂熱語言    時間: 2025-3-27 04:11
Adnan Badran,Elias Baydoun,John R. Hillman 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: ventilate    時間: 2025-3-27 08:08

作者: Respond    時間: 2025-3-27 11:15
Elements of Applied Bifurcation Theory978-0-387-22710-8Series ISSN 0066-5452 Series E-ISSN 2196-968X
作者: 分開如此和諧    時間: 2025-3-27 13:36
Yuri A. KuznetsovDynamical systems continues to be a topic of current interest in mathematics, engineering, and physics..This modern approach provides the reader with a solid basis in dynamical systems theory and the
作者: nauseate    時間: 2025-3-27 19:28

作者: 講個故事逗他    時間: 2025-3-28 00:06

作者: 進步    時間: 2025-3-28 04:36

作者: 追蹤    時間: 2025-3-28 09:32
Bifurcations of Equilibria and Periodic Orbits in ,-Dimensional Dynamical Systems, we derive explicit formulas for the approximation of center manifolds in finite dimensions and for systems restricted to them at bifurcation parameter values. In Appendix 1 we consider a reaction-diffusion system on an interval to illustrate the necessary modifications of the technique to handle infinite-dimensional systems.
作者: 性行為放縱者    時間: 2025-3-28 14:12
Introduction to Dynamical Systems,scovered in the 1960s that rather simple dynamical systems may behave “randomly,” or “chaotically.” Finally, we discuss how differential equations can define dynamical systems in both finite- and infinite-dimensional spaces.
作者: 頭腦冷靜    時間: 2025-3-28 16:13
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: Obituary    時間: 2025-3-28 22:28

作者: chronology    時間: 2025-3-29 00:43
Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems,ose evolution operator . approximates the map in question (or an appropriate iterate of the map). We present bifurcation diagrams of the approximate normal forms and discuss their relationships with the original maps.




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