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Whither Applied Nonlinear Dynamics?

In: Mathematics Unlimited — 2001 and Beyond

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  • Christopher K. R. T. Jones

Abstract

Around a century ago, Poincaré changed the way mathematics was applied by introducing a new perspective on dynamical problems. This new viewpoint shifted the analysis of a differential equation from finding an explicit solution with a prescribed initial condition to a study of the collective behavior of trajectories in a geometric context. Thus was born what was known for a long time as the “qualitative theory of differential equations” and goes more commonly now under the banner of “dynamical systems.”

Suggested Citation

  • Christopher K. R. T. Jones, 2001. "Whither Applied Nonlinear Dynamics?," Springer Books, in: Björn Engquist & Wilfried Schmid (ed.), Mathematics Unlimited — 2001 and Beyond, pages 631-645, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-56478-9_32
    DOI: 10.1007/978-3-642-56478-9_32
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