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N.N. Bautin, E.A. Leontovich (1976)
Metody i priemy kachestvennogo issledovaniya dinamicheskikh sistem na ploskosti
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Dinamicheskie sistemy s tsilindricheskim fazovym prostranstvom
L.A. Cherkas, A.A. Grin’ (2006)
On the Use of Derivatives of the Poincaré Mapping for the Estimation of the Number of Limit CyclesVestn. Gr. Gos. Univ., 2
L. Cherkas (2003)
A Precise Estimate of the Number of Limit Cycles of Autonomous Systems on the PlaneDifferential Equations, 39
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A new uniqueness criterion for the number of periodic orbits of Abel equationsJournal of Differential Equations, 234
L.A. Cherkas (1997)
The Dulac Function for Polynomial Autonomous Systems on the PlaneDiffer. Uravn., 33
L.A. Cherkas (2003)
A Sharp Estimate for the Number of Limit Cycles of Autonomous Systems on the PlaneDiffer. Uravn., 39
L. Cherkas, A. Grin (2006)
Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the planeDifferential Equations, 42
A.A. Grin’, L.A. Cherkas (2005)
Extrema of the Andronov-Hopf Function of a Polynomial Lienard SystemDiffer. Uravn., 41
L.A. Cherkas, A.A. Grin’ (2001)
Algebraic Aspects of the Determination of the Dulac Function for Polynomial Autonomous Systems in the PlaneDiffer. Uravn., 37
A.A. Andronov, A.A. Vitt, S.E. Khaikin (1981)
Teoriya kolebanii
L. Cherkas, A. Grin, K. Schneider (2007)
On the approximation of the limit cycles functionElectronic Journal of Qualitative Theory of Differential Equations
L.A. Cherkas, A.A. Grin’ (2001)
Dulac Function and the 16th Hilbert Problem for Some Polynomial Sets of Lienard SystemsVestn. Gr. Gos. Univ., 2
L.A. Cherkas (2003)
An Estimate for the Number of Limit Cycles Using Critical Points of Conditional ExtremumDiffer. Uravn., 39
A.A. Grin’ (2006)
Reduction to Transversality of Curves in the Problem of the Construction of a Dulac FunctionDiffer. Uravn., 42
L.A. Cherkas, A.A. Grin’ (2006)
Spline Approximations in the Problem of Estimating the Number of Limit Cycles of Autonomous Systems on the PlaneDiffer. Uravn., 42
A. Grin, L. Cherkas (2005)
Extrema of the Andronov-Hopf function of a polynomial Lienard systemDifferential Equations, 41
L. Cherkas, A. Grin (2001)
Algebraic Aspects of Finding a Dulac Function for Polynomial Autonomous Systems on the PlaneDifferential Equations, 37
L.A. Cherkas, A.A. Grin’ (2007)
Dulac Function for Dynamical Systems on the CylinderVestn. Gr. Gos. Univ., 2
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The earlier-developed approach to the solution of the problem of estimating the number of limit cycles and their localization for autonomous systems on the plane with the use of Dulac and Poincaré auxiliary functions is generalized to autonomous systems of differential equations with cylindrical phase surface.
Differential Equations – Springer Journals
Published: Jun 5, 2011
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