Abstract
In the preceding chapter, we saw how in the neighborhood of a bifurcation point at which a new spatial pattern arises, the equation describing the system in question can be reduced to a relatively simple form we refer to as an amplitude equation. Then, as a representative example of this reduction procedure, we derived the Newell-Whitehead (NW) equation using phenomenological considerations. In this chapter, we investigate how different types of amplitude equations are derived to describe a variety of physical conditions. We then study the properties of these equations.
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© 1998 Springer-Verlag Berlin Heidelberg
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Mori, H., Kuramoto, Y. (1998). Amplitude Equations and Their Applications. In: Dissipative Structures and Chaos. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80376-5_3
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DOI: https://doi.org/10.1007/978-3-642-80376-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80378-9
Online ISBN: 978-3-642-80376-5
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