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

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絆住

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

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Meander

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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

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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