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On the upper bound of the number of functionally independent focal quantities of the Lyapunov differential system
Authors: Popa Mihail, Pricop Victor
Vladimir Andrunachievici Institute of Mathematics
and Computer Science
5, Academiei street, Chisinau
Republic of Moldova, MD 2028
E-mail: ,
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Abstract
Denote by $N_1=2\sum\limits_{i=1}^{\ell}(m_i+1)+2$ the maximal possible number of non-zero coefficients of the Lyapunov differential system $\dot{x}= y+\sum\limits_{i=1}^{\ell}P_{m_i}(x,y)$, \linebreak $\dot{y}= -x+\sum\limits_{i=1}^{\ell}Q_{m_i}(x,y)$, where $P_{m_i}$ and $Q_{m_i}$ are homogeneous polynomials of degree $m_i$ with respect to $x$ and $y$, and $1Vladimir Andrunachievici Institute of Mathematics
and Computer Science
5, Academiei street, Chisinau
Republic of Moldova, MD 2028
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
