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

Alcove

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jarring

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

cylinder

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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.

ARCH

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prosthesis

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.

mydriatic

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

delusion

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