EXISTENCE CONDITIONS OF THIRTEEN LIMIT CYCLES IN A CUBIC SYSTEM - Concepedia

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EXISTENCE CONDITIONS OF THIRTEEN LIMIT CYCLES IN A CUBIC SYSTEM

21

Citations

16

References

2010

Year

Junmin Yang, Maoan Han, Jibin Li, Pei Yu

International Journal of Bifurcation and Chaos

Limit CyclesCubic SystemDiscrete MathematicsConcrete Condition

Abstract

In this paper, we study a cubic system and obtain a concrete condition under which the cubic system has 13 limit cycles.

References

	Year	Citations
HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS Jibin Li International Journal of Bifurcation and Chaos Spectral TheoryEngineeringRiemann-hilbert ProblemOrthogonal PolynomialAlgebraic Analysis	2003	524
A CONCRETE EXAMPLE OF THE EXISTENCE OF FOUR LIMIT CYCLES FOR PLANE QUADRATIC SYSTEMS Shi Songling Scientia Sinica Plane Vector FieldDiscrete Dynamical SystemHamiltonian SystemConcrete ExampleUnknown Problem	1980	137
A cubic system with thirteen limit cycles Chengzhi Li, Changjian Liu, Jiazhong Yang Journal of Differential Equations Geometry Of NumberDiscrete Dynamical SystemCubic SystemDiscrete Mathematics	2009	131
Limit Cycles Near Homoclinic and Heteroclinic Loops Maoan Han, Junmin Yang, Alexandrina–Alina Tarţa, Journal of Dynamics and Differential Equations Limit CyclesLoop SpaceBifurcation TheoryStability	2008	118
On Hopf Cyclicity of Planar Systems Maoan Han Journal of Mathematical Analysis and Applications Hopf CyclicityHopf AlgebraBifurcation Theory	2000	78
Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields Pei Yu, Mingyu Han Chaos Solitons & Fractals Small Limit CyclesFine Focus Points	2004	76
TWELVE LIMIT CYCLES IN A CUBIC CASE OF THE 16th HILBERT PROBLEM Peter Yu, Mingyu Han International Journal of Bifurcation and Chaos Numerical AnalysisLimit CyclesEngineeringPerturbation MethodHilbert Problem	2005	75
On Hereditarily Indecomposable Banach Spaces Li Xin Cheng, Huai Jie Zhong Acta Mathematica Sinica English Series Infinite Dimensional AnalysisTopological PropertySet-theoretic TopologyFunctional Analysis	2005	58
Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields P.X. Yu, Mingcong Han Chaos Solitons & Fractals Small Limit CyclesFine Focus Points	2005	51
Twelve limit cycles in a cubic order planar system with $Z_2$- symmetry Pei Yu, Mingyu Han Communications on Pure &amp Applied Analysis Small Limit CyclesSchubert CalculusGeometryPhysicsTwelve Limit Cycles	2004	44

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