(Theoretical and numerical approaches)
Nonintegrability
Bifurcations of periodic orbits
Three-body problem
Solitary waves and pulses in periodic media
Stability, bifurcations and invariant manifolds of solitons and pulses
Design of spacecraft transfer trajectories
Stabilization of aperiodic trajectorie on infinite- and finite-time intervals
Optimal and H-infinity control (Hamilton-Jacobi theory)
K. Yagasaki,
Monotonicity of the periodic function for u''-u+u^p=0 with p\in\mathbb{R} and p>1,
submitted for publication.
K. Yagasaki,
Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems,
submitted for publication.
K. Yagasaki,
Nonlinear dynamics and bifurcations in external feedback control
of microcantilevers in atomic force microscopy (revised),
to appear in
Communications in Nonlinear Science and Numerical Simulation.
K. Yagasaki,
New control methodology of microcantilevers in atomic force microscopy,
Physics Letters A,
375 (2010), 23-28.
K. Yagasaki,
Application of the subharmonic Melnikov method to piecewise-smooth systems,
Discrete and Continuous Dynamical Systems A,
33 (2013), 2189-2209.
D. Blazquez-Sanz and K. Yagasaki,
Galosian approach for a Sturm-Liouville problem
on the infinite interval (revised),
to appear in
Methods and Applications of Analysis.
D. Blazquez-Sanz and K. Yagasaki,
Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria,
Journal of Differential Equations,
253 (2012), 2916-2950.
B.A. Malomed, T. Wagenknecht and K. Yagasaki,
Families of solitons in Bragg supergratings,
Physica D,
241 (2012), 1043-1058.
Y. Miyamoto and K. Yagasaki,
Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions,
Journal of Differential Equations,
254 (2013), 342-367.
M. Shibayama and K. Yagasaki,
Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem,
Celestial Mechanics and Dynamical Astronomy,
110 (2011), 53-70.
G.H.M. van der Heijden and K. Yagasaki,
Nonintegrability of an extensible conducting rod in
a uniform magnetic field,
Journal of Physics A,
44 (2011), 495101.
G.H.M. van der Heijden and K. Yagasaki,
Horseshoes for a nearly symmetric heavy top,
submitted for publication.
Geometric and Algebraic Analysis Group