精明 发表于 2025-3-21 17:18:37
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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 canNotify 发表于 2025-3-22 06:57:47
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 . = ℝ..BARGE 发表于 2025-3-22 08:52:21
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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.Alpha-Cells 发表于 2025-3-23 00:22:25
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 nonhypRodent 发表于 2025-3-23 02:52:42
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自制 发表于 2025-3-23 07:03:45
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