Concepedia

On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems

Rasool Kazemi, Hamid R. Z. Zangeneh, Ali Atabaigi

Nonlinear Analysis · 2011 · 22 citations · 11 references

Concepts

Natural SciencesMathematicsPhysicsDynamical SystemsHamiltonian DynamicsHamiltonian SystemsLimit CyclesPerturbation MethodsPerturbation TheoryStability TheoryBifurcation Of Limit CyclesHamiltonian Bifurcation TheoryHamiltonian Perturbation TheoryLimit Cycle DynamicsLimit Cycle OscillationsNon-degenerate Perturbation TheoryStability Of Limit Cycles

References

11

A Chebyshev criterion for Abelian integrals

Maite Grau, Francesc Mañosas, Jordi Villadelprat · Transactions of the American Mathematical Society · 2010 · 173 citations · Full text

Natural Sciences, Mathematics, Number Theory +6

Perturbation from an elliptic Hamiltonian of degree four—IV figure eight-loop

Freddy Dumortier, Chengzhi Li · Journal of Differential Equations · 2003 · 121 citations

Natural Sciences, Mathematics, Physics +12

Limit Cycles Near Homoclinic and Heteroclinic Loops

Maoan Han, Junmin Yang, Alexandrina–Alina Tarţa et al. · Journal of Dynamics and Differential Equations · 2008 · 119 citations

Natural Sciences, Mathematics, Dynamical Systems +10

Perturbations from an Elliptic Hamiltonian of Degree Four

Freddy Dumortier, Chengzhi Li · Journal of Differential Equations · 2001 · 118 citations

Natural Sciences, Physics, Computational Physics +13

Perturbations from an Elliptic Hamiltonian of Degree Four

Freddy Dumortier, Chengzhi Li · Journal of Differential Equations · 2001 · 106 citations

Natural Sciences, Physics, Computational Physics +13