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On limit cycles of polynomial systems of the first-order ODEs
Authors: Driuma Valeriu
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Abstract
Examples of four-dimensional Riemann metrics related with the ODE’s of second order are constructed. Their properties and applications to the polynomial systems of ODE’s of first order are considered.Institute of Mathematics and Computer Science
”Vladimir Andrunachievici”
Chisinau, Republic of Moldova
E-mail:
”Vladimir Andrunachievici”
Chisinau, Republic of Moldova
E-mail:
Fulltext
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Contents
- Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line
- The problem of the center for cubic differential systems with the line at infinity and an affine real invariant straight line of total algebraic multiplicity five
- The topological classification of a family of quadratic differential systems in terms of affine invariant polynomials
- Levitan Almost Periodic Solutions of Infinite-dimensional Linear Differential Equations
- The classification of a family of cubic differential systems in terms of configurations of invariant lines of the type (3,3)
- On the upper bound of the number of functionally independent focal quantities of the Lyapunov differential system
- On limit cycles of polynomial systems of the first-order ODEs
- Sufficient GL(2,R)-invariant center conditions for some classes of two-dimensional cubic differential systems.
- Invariant conditions of stability of unperturbed motion governed by critical differential systems s(1,2,3)
- Working with professor Nicolae Vulpe
