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n-Homogeneous dynamical systems and n-ary algebras.
Authors: Ilie Burdujan
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Abstract
A bijective correspondence between the classes of center-affinely equivalent n-homogeneous equations (n≥2) and the classes of isomorphic commutative n-ary algebras is established. It generates a correspondence between the properties of these equations and the structural properties of the associated n-ary algebras.E-mail:
Fulltext
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Contents
- The transvectants and the integrals for Darboux systems of differential equations.
- Open problems on the algebraic limit cycles of planar polynomial vector fields.
- Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four.
- Global Attractors of Quasi-Linear Non-Autonomous Difference Equations.
- Determinantal Analysis of the Polynomial Integrability of Differential Systems.
- Orthogonal Solutions for a Hyperbolic System.
- Two problems from the qualitative theory of Hamiltonian systems (in Russian).
- n-Homogeneous dynamical systems and n-ary algebras.
- Attractors in affine differential systems with impulsive control.
- On theory of surfaces defined by the first order systems of equations.
- Regular maps and quasilinear total differential equations.
- Singularly perturbed Cauchy problem for abstract linear differential equations of second order in Hilbert spaces.
