Titlebook: International Handbook of Higher Education; Part One: Global The James J. F. Forest,Philip G. Altbach Book 2007 Springer Science+Business M

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Grant Harmansessing its own mathematical appeal, exists. Furthermore, this information will be important in the local qualitative analysis of equilibrium points of nonlinear systems. The success of obtaining explicit solutions of linear systems is not, however, without an ironic disappointment. The important ta

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Philip G. Altbachstudy of dynamics and bifurcations of maps. In particular, we investigate local bifurcations of a class of maps, monotone maps, which will later play a prominent role in our study of differential equations. We end the chapter with a brief exposition of a landmark quadratic map, the logistic map.

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James J. F. Forestof the finer geometric details of the flows of nonlinear systems in a neighborhood of an equilibrium point of saddle type. Next, we include a discussion of deciding the local equivalence of flows of nonlinear systems from that of their linear approximations. We conclude the chapter with an example i

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Svava Bjarnasonrst present several basic theorems on the presence or absence of periodic orbits of planar systems. We then investigate the stability and local bifurcations of periodic orbits in terms of Poincaré maps. As an important application of these ideas, we establish the existence of a globally attracting p

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2197-1951 htful essays on a particular topic useful for decision-making. Overall, this Handbook provides a centralized collection of scholarship on an essential worldwide social institution..978-94-007-0562-3978-1-4020-4012-2Series ISSN 2197-1951 Series E-ISSN 2197-196X

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Kevin Kinser,Daniel C. Levyed. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems...Dynam978-3-030-68146-3978-3-030-68147-0Series ISSN 2523-3343 Series E-ISSN 2523-3351