On the center problem for degenerate singular points of planar vector fields

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 12, Issue 4, 2002, Pages 687-707

  Mañosa, Víctor ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Blow up; Degenerate singular points; Focus center problem; Limit cycle; Planar vector fields

Indexed keywords

ASYMPTOTIC STABILITY; CHARACTERIZATION; COMPUTATION THEORY; PROBLEM SOLVING; VECTORS;

PLANAR VECTOR FIELDS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0036015441     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127402004693     Document Type: Review

References (31)

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5. Local analytic integrability for nilpotent centers
6. Singularities of vector fields on the plane
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8. The focus-center problem for a type of degenerate systems
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10. A new algorithm for the computation of the Lyapunov constants for some degenerated critical points
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13. Finiteness theorems for limit cycles
14. A note on the number of limit cycles in certain two-dimensional systems
15. Principal term of the monodromy transformation of a monodromic singular point is linear
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18. A monodromy criterion for a singular point of a vector field on the plane
19. The second term of the asymptotics of the monodromy map in case of two even edges of Newton diagram
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21. Algorithmic derivation of centre conditions
22. Lyapunov function and isolating blocks
23. Quadratic systems with centre and their perturbations