Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 7, 2001, Pages 4527-4531

  Li, Chengzhi ^b   Li, Weigu ^b   Llibre, J ^a,b   Zhang, Zhifen ^b  

^a PEKING UNIVERSITY   (China)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES;

ABELIAN INTEGRALS;

POLYNOMIAL APPROXIMATION;

EID: 0035423755     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00566-1     Document Type: Article

References (11)

1. Behavior of the period of solutions of certain plane autonomous systems near centers
2. Loss of stability of self-oscillation close to resonance and versal deformations of equivariant vector fields
3. Real analytic manifolds with finiteness properties and complex Abelian integrals
4. Estimate of the number of zeros of an Abelian integrals depending on a parameter and limit cycles
5. Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group
6. Simple exponential estimate for the number of real zeros of complete Abelian integrals
7. Equations de Pfaff algébriques
8. Bifurcation of limit cycles from quadratic isochronous centers
9. Linear estimation of the number of zeros of Abelian integrals for some cubic isochronous centers
10. Mémoire sur les équations différentielles algébrique du premier ordre et du premier degré (Mélanges)
11. Integrability via invariant algebraic curves for planar polynomical differential systems