In the qualitative theory, the study of linear systems is very important, since a comprehensive analysis of nonlinear systems via perturbation techniques requires linear theory. This is due to the fact that in many cases, stability properties of solutions can be derived from the linearization along the solution, the so-called variational equation. In this chapter, methods are provided for the analysis of linear systems with respect to the notions of attractivity and repulsivity which have been introduced in Chapter 2.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). LinearSystems. In: Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture Notes in Mathematics, vol 1907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71225-1_4
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DOI: https://doi.org/10.1007/978-3-540-71225-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71224-4
Online ISBN: 978-3-540-71225-1
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