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Generating functions for dynamical systems with symmetries, integrals, and differential invariants

✍ Scribed by Robert I. McLachlan; G.R.W. Quispel

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
713 KB
Volume
112
Category
Article
ISSN
0167-2789

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✦ Synopsis

We give a survey and some new examples of generating functions for systems with symplectic structure, systems with a first integral, systems that preserve volume, and systems with symmetries and/or time-reversing symmetries. Both ODEs and maps are treated, and we discuss how generating functions may be used in the structure-preserving numerical integration of ODEs with the above properties.

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