Whither Applied Nonlinear Dynamics?

Christopher K. R. T. Jones

A chapter in Mathematics Unlimited — 2001 and Beyond, 2001, pp 631-645 from Springer

Abstract: 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.”

Date: 2001
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DOI: 10.1007/978-3-642-56478-9_32

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