In recent years, due primarily to the proliferation of computers,
dynamical systems has again returned to its roots in applications.
It is the aim of this book to provide undergraduate and beginning
graduate students in mathematics or science and engineering with a
modest foundation of knowledge. Equations in dimensions one and two
constitute the majority of the text, and in particular it is
demonstrated that the basic notion of stability and bifurcations of
vector fields are easily explained for scalar autonomous equations.
Further, the authors investigate the dynamics of planar autonomous
equations where new dynamical behavior, such as periodic and
homoclinic orbits appears.
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