Concepedia

Canard limit cycles and global dynamics in a singularly perturbed predator–prey system with non-monotonic functional response

Jianhe Shen

Nonlinear Analysis Real World Applications · 2016 · 30 citations · 20 references

DOI

Concepts

References

20

Geometric singular perturbation theory for ordinary differential equations

Neil Fenichel · Journal of Differential Equations · 1979 · 2.4K citations

, , +13

Perturbation Methods in Applied Mathematics

Julian D. Cole, Lawrence E. Levine · IEEE Transactions on Systems Man and Cybernetics · 1973 · 1.8K citations

, , +14

Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions

Peter Szmolyan · SIAM Journal on Mathematical Analysis · 2001 · 576 citations

, , +14

Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response

Dongmei Xiao, Shigui Ruan · SIAM Journal on Applied Mathematics · 2001 · 555 citations

, , +16

Canard cycles and center manifolds

Freddy Dumortier, Robert Roussarie · Memoirs of the American Mathematical Society · 1996 · 466 citations

, , +9