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Introduction to the Qualitative Theory of Differential Systems - Planar, Symmetric and Continuous Piecewise Linear Systems (Hardcover, 2014 ed.)
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Introduction to the Qualitative Theory of Differential Systems - Planar, Symmetric and Continuous Piecewise Linear Systems (Hardcover, 2014 ed.)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Expected to ship within 12 - 17 working days
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The book deals with continuous piecewise linear differential
systems in the plane with three pieces separated by a pair of
parallel straight lines. Moreover, these differential systems are
symmetric with respect to the origin of coordinates. This class of
systems driven by concrete applications is of interest in
engineering, in particular in control theory and the design of
electric circuits. By studying these particular differential
systems we will introduce the basic tools of the qualitative theory
of ordinary differential equations, which allow us to describe the
global dynamics of these systems including the infinity. The
behavior of their solutions, their parametric stability or
instability and their bifurcations are described. The book is very
appropriate for a first course in the qualitative theory of
differential equations or dynamical systems, mainly for engineers,
mathematicians, and physicists.
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