Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)
From MaRDI portal
Publication:1101599
DOI10.1016/0022-0396(87)90140-9zbMath0642.34022OpenAlexW2010588477MaRDI QIDQ1101599
Armengol Gasull, Jaume Llibre, Jorge Sotomayor
Publication date: 1987
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(87)90140-9
Related Items
On the limit cycles of polynomial differential systems with homogeneous nonlinearities, On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities, Limit cycles of polynomial systems with homogeneous non-linearities, Global planar dynamics with a star node and contracting nonlinearity, Number of limit cycles for planar systems with invariant algebraic curves, Limit cycles of a class of polynomial systems, On the number of limit cycles of some systems on the cylinder, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities, Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\), On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique, Criteria on the existence of limit cycles in planar polynomial differential systems
Cites Work
- A simple class of quadratic systems
- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Limit cycles of planar quadratic differential equations
- The stability of second-order quadratic differential equations
- A Note on the Number of Limit Cycles in Certain Two-Dimensional Systems