Titlebook: Dynamics and Bifurcations; Jack K. Hale,Hüseyin Koçak Textbook 1991 Springer-Verlag New York, Inc. 1991 Eigenvalue.bifurcation.difference

勾引

绊住

chondromalacia

STALL

咽下

glowing

In the Presence of Purely Imaginary Eigenvalues orbit encircling the equilibrium point. We present a proof of this celebrated result—the Poincaré-Andronov-Hopf Theorem—and a discussion of the stability of the periodic orbit. We conclude with an exposition of computational procedures for determining bifurcation diagrams of periodic orbits bifurca

Obligatory

Meander

痛苦一下

Conservative and Gradient Systemsector fields are essentially determined by the unstable manifolds of the saddle points. We also illustrate typical one-parameter bifurcations of conservative and gradient systems in nongeneric cases. Of course, the setting for the bifurcation theory of these systems has the important restriction tha

不真

Planar Mapsrea-preserving maps, an important class arising from classical mechanics and possessing a rich history. The subject of planar maps is a vast one that is also mathematically rather sophisticated. Yet, many planar maps with innocuous appearances continue to defy satisfactory mathematical analysis. Ind