On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique
DOI10.1080/00036811.2020.1849629OpenAlexW3108610718MaRDI QIDQ5865356
Publication date: 13 June 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1849629
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
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Cites Work
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- Parallelization of the Lyapunov constants and cyclicity for centers of planar polynomial vector fields
- New results on the study of \(Z_q\)-equivariant planar polynomial vector fields
- Lower bounds for the Hilbert number of polynomial systems
- The estimate of the amplitude of limit cycles of symmetric Liénard systems
- A cubic system with thirteen limit cycles
- Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)
- Limit cycles of a class of polynomial vector fields in the plane
- Limit cycles of polynomial systems with homogeneous non-linearities
- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Algebraic invariant curves and the integrability of polynomial systems
- Configurations of limit cycles and planar polynomial vector fields.
- On the distribution and number of limit cycles for quadratic systems with two foci
- Mathematical problems for the next century
- Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities
- Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities
- Limit cycles of a Liénard system with symmetry allowing for discontinuity
- Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems
- Shape and period of limit cycles bifurcating from a class of Hamiltonian period annulus
- A geometric criterion for equation \(\dot{x} = \sum\nolimits_{i = 0}^m a_i(t) x^i\) having at most \(m\) isolated periodic solutions
- Vector fields with homogeneous nonlinearities and many limit cycles
- A uniqueness criterion of limit cycles for planar polynomial systems with homogeneous nonlinearities
- Qualitative theory of planar differential systems
- Monotone Iterative Technique for Systems of Nonlinear Caputo Fractional Differential Equations
- Limit Cycles for a Class of Abel Equations
- Limit cycles of a class of polynomial systems
- Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields
- Polynomial systems: a lower bound for the Hilbert numbers
- The Number of Periodic Solutions of the Equation Ż=z N +p 1 (t )z N −1 +…+p N (t )
- The shape of limit cycles that bifurcate from non-Hamiltonian centers
- Some new results on Abel equations
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