24 citations · 111 across the 33 of their papers we have counts for
6 papers · 2 filters
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…
Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits
Kazuyuki Yagasaki
In a recent paper by the author (K. Yagasaki, Nonintegrability of the restricted three-body problem, submitted for publication), a technique was developed for determining whether n…
Nonintegrability of the restricted three-body problem
Kazuyuki Yagasaki
The problem of nonintegrability of the circular restricted three-body problem is very classical and important in the theory of dynamical systems. It was partially solved by Poincar…