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math.DS2023★ 12 cited
Continuum limits of coupled oscillator networks depending on multiple sparse graphs
Ryosuke Ihara, Kazuyuki Yagasaki
The continuum limit provides a useful tool for analyzing coupled oscillator networks. Recently, Medvedev (Comm. Math. Sci., 17 (2019), no. 4, pp. 883-898) gave a mathematical found…
math.DS2023
Nonintegrability of truncated Poincare-Dulac normal forms of resonance degree two
Kazuyuki Yagasaki
We give sufficient conditions for three- or four-dimensional truncated Poincare-Dulac normal forms of resonance degree two to be meromorphically nonintegrable when the Jacobian mat…
math.DS2023
Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in dynamical systems with symmetry
Kazuyuki Yagasaki
We study bifurcation behavior in periodic perturbations of two-dimensional symmetric systems exhibiting codimension-two bifurcations with a double eigenvalue when the frequencies o…