Abstract
In this section we will consider individual vector fields. They can be considered as 0-parameter families. We assume these vector fields to be of class at least C1. This will be sufficient to ensure the existence and uniqueness of the flow ϕ(t,x (t is time, x ∈ S, the phase space) and the qualitative properties which we mention below.
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© 1998 Springer Basel AG
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Roussarie, R. (1998). Families of Two-dimensional Vector Fields. In: Bifurcation of Planar Vector Fields and Hilbert’s Sixteenth Problem. Modern Birkhäuser Classics, vol 164. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8798-4_1
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DOI: https://doi.org/10.1007/978-3-0348-8798-4_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9778-5
Online ISBN: 978-3-0348-8798-4
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