by Kais A. Mohamedamen Al Naimee (ed.)
Publisher: InTech 2018
Number of pages: 260
With a good background in nonlinear dynamics, chaos theory, and applications, the authors of this leading book give a systematic treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.
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by J. E. Marsden, M. McCracken - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
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Author invites readers from a wide range of backgrounds to explore the beauty and excitement of dynamical systems. Written for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.
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This set of lectures gives a synthetic exposition for the study of one-parameter bifurcation problems. By this, we mean the analysis of the structure of their set of solutions through the same type of general arguments in various situations.
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