24 citations · 111 across the 33 of their papers we have counts for
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A new proof of Poincaré's result on the restricted three-body problem
Kazuyuki Yagasaki
The problem of nonintegrability of the circular restricted three-body problem is very classical and important in dynamical systems. In the first volume of his masterpieces, Henri P…
Obstructions to Integrability of Nearly Integrable Dynamical Systems near Regular Level Sets
Shoya Motonaga, Kazuyuki Yagasaki
We study the existence of real-analytic first integrals and real-analytic integrability for perturbations of integrable systems in the sense of Bogoyavlenskij including non-Hamilto…
Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems
Shoya Motonaga, Kazuyuki Yagasaki
We study persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems depending on a small parameter and give s…
Analytic and algebraic conditions for bifurcations of homoclinic orbits II: Reversible systems
Kazuyuki Yagasaki
Following Part~I, we consider a class of reversible systems and study bifurcations of homoclinic orbits to hyperbolic saddle equilibria. Here we concentrate on the case in which ho…
Integrability of the Zakharov-Shabat systems by quadrature
Kazuyuki Yagasaki
We study the integrability of the general two-dimensional Zakharov-Shabat systems, which appear in application of the inverse scattering transform (IST) to an important class of no…
Numerical Computations for Bifurcations and Spectral Stability of Solitary Waves in Coupled Nonlinear Schrödinger Equations
Kazuyuki Yagasaki, Shotaro Yamazoe
We numerically study solitary waves in the coupled nonlinear Schrödinger equations. We detect pitchfork bifurcations of the fundamental solitary wave and compute eigenvalues and ei…