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

Halcyon

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單純

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..

jarring

alabaster

陰謀

Albinism

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.

Albinism

豪華

Seizure

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

anus928