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On theory of surfaces defined by the first order systems of equations.
Authors: Driuma Valeriu
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Abstract
The properties of surfaces defined by spatial systems of differential equations are studied. The Monge equations connected with the first order nonlinear p.d.e. are investigated. The properties of Riemannian metrics defined by the systems of differential equations having applications in theory of nonlinear dynamical systems with regular and chaotic behaviour are considered.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.
