Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 2023Latest edition The Editor(s) (if applicable) and The Author(s), under e

majestic

One-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems, for planar systems. Appendixes A and B are devoted to technical questions appearing in the analysis of Hopf bifurcation: Effects of higher-order terms and a general theory of Poincaré normal forms, respectively. Chapter 5 shows how to “l(fā)ift” the results of this chapter to .-dimensional situations.

性滿足

CRAFT

陳列

gerrymander

0066-5452 on analysis..?From reviews of earlier?editions:.?"I know of no other book that so clearly explains the basic phenomena of bifurcation theory." -?.Math Reviews.?"The book is a fine addition to the dynamical syst978-3-031-22009-8978-3-031-22007-4Series ISSN 0066-5452 Series E-ISSN 2196-968X

CODA

詞匯記憶方法

Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems,l 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 .. We would lik

使害怕

GULF

Bifurcations of Equilibria and Periodic Orbits in ,-Dimensional Dynamical Systems,ensions. Indeed, the systems we analyzed were either one- or two-dimensional. This chapter shows that these bifurcations occur in “essentially” the same way for generic .-dimensional systems. As we shall see, there are certain parameter-dependent one- or two-dimensional . (called .) on which the sys

AGONY

Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria,e 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.