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Dynamics of Ordinary Differential Equations

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Part of the NATO ASI Series book series (ASIC, volume 464)

Abstract

We use two examples, the Lorenz equations and the Falkner-Skan equation, to illustrate the type of results that can be obtained for ordinary differential equations; our understanding of the behaviour over a range of parameter values is built up by combining classical results, results from local and global bifurcation theory, and numerical experiments. In particular, combinatorial schemes for accounting for all periodic orbits and bifurcations in the system may be a powerful tool.

Key words

Lorenz Falkner-Skan homoclinic bifurcation periodic orbit orbit following continuation ordinary differential equation 

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeUK

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