Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 20043rd edition Springer Science+Business Media New York 2004 Mathematica.a

Granular

Morbid

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

跳動(dòng)

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

Carcinogenesis

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

聰明

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)