LIMIT CYCLES FOR SOME ABEL EQUATIONS HAVING COEFFICIENTS WITHOUT FIXED SIGNS
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Publication:5305167
DOI10.1142/S0218127409025195zbMath1182.34056MaRDI QIDQ5305167
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Publication date: 19 March 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)
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Cites Work
- Unnamed Item
- Uniqueness of limit cycles for polynomial first-order differential equations
- A new uniqueness criterion for the number of periodic orbits of Abel equations
- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Cubic systems and Abel equations
- Limit cycles for rigid cubic systems
- The number of periodic solutions of polynomial differential equations
- Lower bounds for the number of limit cycles of trigonometric Abel equations
- Abel-like differential equations with no periodic solutions
- Limit Cycles for a Class of Abel Equations
- Limit cycles of a class of polynomial systems
- Non-autonomous equations related to polynomial two-dimensional systems
- LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS
