Hilbert's sixteenth problem and global bifurcations of limit cycles

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 7, 2001, Pages 4455-4466

  Gaiko, Valery A ^b  

^a BELARUSIAN STATE UNIVERSITY OF INFORMATICS AND RADIOELECTRONICS   (Belarus)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; POLYNOMIALS;

FIELD-ROTATION PARAMETERS; GLOBAL BIFURCATIONS;

NONLINEAR SYSTEMS;

EID: 0035425143     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00559-4     Document Type: Article

References (23)

1. Theory of limit cycles
2. Qualitative theory of differential equations
3. On the number of nimit cycles which appear with the variation of the coefficients from an equilibrium point of focus or center type
4. Eleven small limit cycles in a cubic vector field
5. Hilbert's 16th problem for quadratic vector fields
6. Bifurcations of planar vector fields and Hilbert's sixteenth problem
7. Keeping track of limit cycles
8. Multiple limit cycle bifurcation surfaces and global families of multiple limit cycles
9. Snakes: Oriented families of periodic orbits, their sources, sinks and continuation
10. Some questions of motion stability and qualitative theory of differential equations on the whole
11. Beweis des E. Stromgrenschen dynamischen Abschlusprinzips der periodischen Bahngruppen im restringierten Dreikorperproblem
12. Limit-cycles and rotated vector fields
13. Bifurcations of limit cycles of a quadratic system with two critical points and two field-rotation parameters
14. Separatrix cycles of quadratic systems
15. Qualitative theory of two-dimensional polynomial dynamical systems: Problems, approaches, conjectures
16. Application of topological methods to qualitative investigation of two-dimensional polynomial dynamical systems
17. On global bifurcation theory of polynomial dynamical systems and its applications
18. On global bifurcations and Hilbert's sixteenth problem
19. Global bifurcations of limit cycles
20. Limit cycle bifurcations