Abstract
In section 2.2 we saw that linearisation in a neighbourhood of a critical point of an autonomous system ẋ = f(x) leads to the equation(3.1) $${\dot y} = Ay$$ with A a constant n × n-matrix; in this formulation the critical point has been translated to the origin. We exclude in this chapter the case of a singular matrix A, so$${\rm det}\ A \ne 0.$$
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© 1990 Springer-Verlag Berlin Heidelberg
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Verhulst, F. (1990). Critical points. In: Nonlinear Differential Equations and Dynamical Systems. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97149-5_3
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DOI: https://doi.org/10.1007/978-3-642-97149-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50628-7
Online ISBN: 978-3-642-97149-5
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