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Z. Naturforsch. 66a, 696 – 697 (2011)
doi:10.5560/ZNA.2011-0030
Autonomous Dynamical Systems, Explicitly Time Dependent First Integrals, and Gradient Systems
Willi-Hans Steeb
International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa
Received June 6, 2011 / revised July 1, 2011
Reprint requests to: W.-H. S.; E-mail: steebwilli@gmail.com
We study first integrals and first-order autonomous systems of differential equations. Some of the concepts for explicitly time-independent first integrals are extended to explicitly time-dependent first integrals. Several applications are given.
Key words: Dynamical System; Time Dependent First Integrals; Gradient Systems.
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