Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Kazuyuki Yagasaki"'
Autor:
Shoya Motonaga, Kazuyuki Yagasaki
Publikováno v:
Archive for Rational Mechanics and Analysis. 247
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-Hamiltonian ones. We especially assume that there exists a family of periodic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e6222a17705680f6267f150b72405a6
https://doi.org/10.1007/s00205-023-01880-x
https://doi.org/10.1007/s00205-023-01880-x
Autor:
Kazuyuki Yagasaki, Shotaro Yamazoe
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 39:257-281
We numerically study solitary waves in the coupled nonlinear Schrodinger equations. We detect pitchfork bifurcations of the fundamental solitary wave and compute eigenvalues and eigenfunctions of the corresponding eigenvalue problems to determine the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::382a666959537d289ff64dfef140c9ab
https://doi.org/10.1007/s13160-021-00485-9
https://doi.org/10.1007/s13160-021-00485-9
Autor:
Shotaro Yamazoe, Kazuyuki Yagasaki
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 38:125-140
We present a numerical approach for determination of the spectral stability of solitary waves by computing eigenvalues and eigenfunctions of the corresponding eigenvalue problems, along with their continuation, for nonlinear wave equations in one spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6577574da4de7382450578a12b3d9d86
https://doi.org/10.1007/s13160-020-00428-w
https://doi.org/10.1007/s13160-020-00428-w
Publikováno v:
Nonlinearity. 33:1366-1387
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 unfoldings of these two codimension-two bifurcations, and obtain suffi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::358abaca227fd221483a419895e58728
https://doi.org/10.1088/1361-6544/ab60d4
https://doi.org/10.1088/1361-6544/ab60d4
Autor:
Kazuyuki Yagasaki
We prove that general three- or four-dimensional systems %of differential equations are real-analytically nonintegrable near degenerate equilibria in the Bogoyavlenskij sense under additional weak conditions when the Jacobian matrices have a zero and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99b73afdbed09d9184817bc87d4f60f1
Autor:
Shoya Motonaga, Kazuyuki Yagasaki
In recent papers by the authors (S.~Motonaga and K.~Yagasaki, Obstructions to integrability of nearly integrable dynamical systems near regular level sets, submitted for publication, and K.~Yagasaki, Nonintegrability of nearly integrable dynamical sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0a45d2a73f1df6b24d2ecdab33ea673
Autor:
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 $\varepsilon>0$ and give several necessary conditions for their persistence. Here we treat homoc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6587738729db67464c80b43fa355587b
http://arxiv.org/abs/2108.08026
http://arxiv.org/abs/2108.08026
Autor:
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 nonlinear partial differential equations (PDEs) called integrable system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9ec3b9c1800c7ed0b346291d1f9d4e2
http://arxiv.org/abs/2107.12040
http://arxiv.org/abs/2107.12040
Autor:
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 homoclinic orbits are symmetric, so that only one control parameter is e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c39157b7ee9088ffb8611da0b797c5bd
http://arxiv.org/abs/2107.12077
http://arxiv.org/abs/2107.12077
Autor:
Shotaro Yamazoe, Kazuyuki Yagasaki
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 18:393-417
Bifurcations of relative equilibria in perturbed infinite-dimensional Hamiltonian systems are studied. We assume that the unperturbed system has several symmetries and a family of relative equilibr...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e23ccf90d30223e283fe04967004a5e1
https://doi.org/10.1137/18m1187738
https://doi.org/10.1137/18m1187738