Differential and Integral Equations
- Differential Integral Equations
- Volume 24, Number 9/10 (2011), 877-894.
On second-order quadratic systems and algebras
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.
Differential Integral Equations, Volume 24, Number 9/10 (2011), 877-894.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34B45: Boundary value problems on graphs and networks 34J60 34J65
Sagle, Art; Schmitt, Klaus. On second-order quadratic systems and algebras. Differential Integral Equations 24 (2011), no. 9/10, 877--894. https://projecteuclid.org/euclid.die/1356012890