Abstract
The topological approach allows us to easily determine the types of solutions that a given physically interesting nonlinear ODE system will permit. With its qualitative nature established, the next step is to ascertain whether a given solution can be described by some sort of analytic expression.
Chaos often breeds life, when order breeds habit.
Henry B. Adams, American Historian (1838–1918)
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© 2004 Springer Science+Business Media New York
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Enns, R.H., McGuire, G.C. (2004). Analytic Methods. In: Nonlinear Physics with Mathematica for Scientists and Engineers. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0211-0_5
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DOI: https://doi.org/10.1007/978-1-4612-0211-0_5
Publisher Name: Birkhäuser, Boston, MA
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