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A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)-orbits
Authors: Gherştega Natalia, Orlov Victor, Vulpe Nicolae
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Abstract
In this article we consider the action of the group Aff(2, ℜ) of affine transformations and time rescaling on real planar quadratic differential systems. Via affine invariant conditions we give a complete stratification of this family of systems according to the dimension D of affine orbits proving that 3≤D≤6. Moreover we give a complete topological classification of all the systems located on the orbits of dimension D≤5 constructing the affine invariant criteria for the realization of each of 49 possible topologically distinct phase portraits.E-mail: , ,
Fulltext
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Contents
- Optimal control for one complex dynamic system, II
- About group topologies of the primary Abelian group.
- A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)-orbits
- On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle.
- On preradicals associated to principal functors of module categories, I.
- Dynamic Programming Algorithms for Solving Stochastic Discrete Control Problems.
- On a Generalization of Hardy-Hilbert's Integral Inequality.
- The cubic differential system with six real invariant straight lines along three directions.
- A note on a subclass of analytic functions defined by a differential operator.
