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September/October 2011 On second-order quadratic systems and algebras
Art Sagle, Klaus Schmitt
Differential Integral Equations 24(9/10): 877-894 (September/October 2011). DOI: 10.57262/die/1356012890


This paper is devoted to a systematic study of quadratic systems of second-order ordinary differential equations which are defined in commutative algebras. Conserved quantities are found and several examples defined in Jordan and Nahm algebras are analyzed. Hamiltonian and gradient systems are considered.


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Art Sagle. Klaus Schmitt. "On second-order quadratic systems and algebras." Differential Integral Equations 24 (9/10) 877 - 894, September/October 2011.


Published: September/October 2011
First available in Project Euclid: 20 December 2012

zbMATH: 1249.34032
MathSciNet: MR2850370
Digital Object Identifier: 10.57262/die/1356012890

Primary: 34B45 , 34J60 , 34J65

Rights: Copyright © 2011 Khayyam Publishing, Inc.

Vol.24 • No. 9/10 • September/October 2011
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