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.
The authors present the subject of dynamical systems so that it is accessible to undergraduate and beginning graduate students in mathematics or science and engineering. The fundamental ideas of dynamics and bifurcations are explained in a mathematically insightful setting, yet devoid of extensive formalism.
