24 citations · 111 across the 33 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.DS2019★ 2 cited
Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers
Kazuyuki Yagasaki, Shogo Yamanaka
We consider a class of two-degree-of-freedom Hamiltonian systems with saddle-centers connected by heteroclinic orbits and discuss some relationships between the existence of transv…
math.DS2019★ 13 cited
Nonintegrability of the unfoldings of codimension-two bifurcations
Primitivo B. Acosta-Humánez, Kazuyuki Yagasaki
Codimension-two bifurcations are fundamental and interesting phenomena in dynamical systems. Fold-Hopf and double-Hopf bifurcations are the most important among them. We study the…