國府宏枝 (Hiroe KOKUBU) - マイポータル

基本情報

所属: 龍谷大学先端理工学部数理・情報科学課程教授

学位: 京都大学理学博士(京都大学)

通称等の別名: 岡宏枝
J-GLOBAL ID: 200901096624347566
researchmap会員ID: 5000036123

研究キーワード

力学系-

研究分野

自然科学一般 / 応用数学、統計数学 /

論文

Graph-based topological approximation of saddle-node bifurcation in map

Z.Arai, M. Gameiro, T, G, H.Kokubu, K. Mischaiko, Hiroe Oka

RIMS Bessatsu B(31) 225-241 2012年査読有り
A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems

Zin Arai, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka, Pawel Pilarczyk

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 8(3) 757-789 2009年査読有り
Quantitative hyperbolicity estimates in one-dimensional dynamics

S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk

NONLINEARITY 21(9) 1967-1987 2008年9月査読有り
Topological horseshoes of traveling waves for a fast-slow predator-prey system

Marcio Gameiro, Tomas Gedeon, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 19(3) 623-654 2007年9月査読有り
Chaotic Solutions in Slowly Varying Perturbations of Hamiltonian Systems with Applications to Shallow Water Sloshing

Tomáš Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka

Journal of Dynamics and Differential Equations 14(1) 63-84 2002年
Connecting orbit structure of monotone solutions in the shadow system

H Kokubu, K Mischaikow, Y Nishiura, H Oka

JOURNAL OF DIFFERENTIAL EQUATIONS 140(2) 309-364 1997年11月
Linear grading function and further reduction of normal forms

H Kokubu, H Oka, D Wang

JOURNAL OF DIFFERENTIAL EQUATIONS 132(2) 293-318 1996年12月
Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation

H Kokubu, K Mischaikow, H Oka

NONLINEARITY 9(5) 1263-1280 1996年9月
Multiple homoclinic bifurcations from orbit-flip .1. Successive homoclinic doublings

H Kokubu, M Komuro, H Oka

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 6(5) 833-850 1996年5月
A DEGENERATE SINGULARITY GENERATING GEOMETRIC LORENZ ATTRACTORS

F DUMORTIER, H KOKUBU, H OKA

ERGODIC THEORY AND DYNAMICAL SYSTEMS 15 833-856 1995年10月
Singular perturbations of autonomous ordinary differential equations and heteroclinic bifurcations

"Dynamical Systems", (Eds. R. Bamon, R. Labarca, J.Lewowicz, and J. Palis, Jr.), Pitman Research Notes in Mathematics 285巻 159-194頁 1993年
Supplement to homoclinic doubling bifurcation in vector fields

"Dynamical Systems", (Eds. R. Bamon, R. Labarca, J.Lewowicz, and J. Palis, Jr.), Pitman Research Notes in Mathematics 285巻 92-116頁 1993年
Bifurcations of N-homoclinic and N-periodic orbits in vector fields

Journal of Dynamics and Differential Equations 5巻 305-357頁 1993年
Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems

Hiroshi Kokubu, Yasumasa Nishiura, Hiroe Oka

Journal of Differential Equations 86(2) 260-341 1990年
NORMAL FORMS FOR CONSTRAINED NONLINEAR DIFFERENTIAL-EQUATIONS .2. BIFURCATION

LO CHUA, H OKA

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 36(1) 71-88 1989年1月
NORMAL FORMS FOR CONSTRAINED NONLINEAR DIFFERENTIAL-EQUATIONS .1. THEORY

LO CHUA, H OKA

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 35(7) 881-901 1988年7月
Constrained system, characteristic surface and normal form

Japan Journal of Applied Mathematics 4巻 393-431頁 1987年
An approach to constrained equations and strange attractors

"Patterns and Waves - Qualitative Analysis of Nonlinear Differential Equations'', (Eds. H. Fujii, M. Mimura and T. Nishida), Stud. Math. Appl. 18巻 607-630頁 1986年
Constrained Lorenz-like attractors

Japan Journal of Applied Mathematics 2巻 495-500頁 1985年
Existence d'attracteurs etranges dans le d'eploiement d'une singularite degeneree d'un champ de vecteuers invariant par translation

Comptes Rendus l'Academie des Sciences, Paris, Serie I, Mathematiques 298巻 39-42頁 1984年

MISC

Graph-based topological approximation of saddle-node bifurcation in map

Z.Arai, M. Gameiro, T, G, H.Kokubu, K. Mischaiko, Hiroe Oka

RIMS Bessatsu B(31) 225-241 2012年査読有り
A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems

Zin Arai, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka, Pawel Pilarczyk

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 8(3) 757-789 2009年査読有り
Quantitative hyperbolicity estimates in one-dimensional dynamics

S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk

NONLINEARITY 21(9) 1967-1987 2008年9月査読有り
Topological horseshoes of traveling waves for a fast-slow predator-prey system

Marcio Gameiro, Tomas Gedeon, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 19(3) 623-654 2007年9月査読有り
Chaotic Solutions in Slowly Varying Perturbations of Hamiltonian Systems with Applications to Shallow Water Sloshing

Tomáš Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka

Journal of Dynamics and Differential Equations 14(1) 63-84 2002年
Connecting orbit structure of monotone solutions in the shadow system

H Kokubu, K Mischaikow, Y Nishiura, H Oka

JOURNAL OF DIFFERENTIAL EQUATIONS 140(2) 309-364 1997年11月
Linear grading function and further reduction of normal forms

H Kokubu, H Oka, D Wang

JOURNAL OF DIFFERENTIAL EQUATIONS 132(2) 293-318 1996年12月
Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation

H Kokubu, K Mischaikow, H Oka

NONLINEARITY 9(5) 1263-1280 1996年9月
Multiple homoclinic bifurcations from orbit-flip, I: Successive homoclinic doublings

International Journal of Bifurcations and Chaos 6巻 833-850頁 1996年
A DEGENERATE SINGULARITY GENERATING GEOMETRIC LORENZ ATTRACTORS

F DUMORTIER, H KOKUBU, H OKA

ERGODIC THEORY AND DYNAMICAL SYSTEMS 15 833-856 1995年10月
Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields

Masashi Kisaka, Hiroshi Kokubu, Hiroe Oka

Journal of Dynamics and Differential Equations 5(2) 305-357 1993年4月
Singular perturbations of autonomous ordinary differential equations and heteroclinic bifurcations

"Dynamical Systems", (Eds. R. Bamon, R. Labarca, J.Lewowicz, and J. Palis, Jr.), Pitman Research Notes in Mathematics 285巻 159-194頁 1993年
Supplement to homoclinic doubling bifurcation in vector fields

"Dynamical Systems", (Eds. R. Bamon, R. Labarca, J.Lewowicz, and J. Palis, Jr.), Pitman Research Notes in Mathematics 285巻 92-116頁 1993年
HETEROCLINIC AND HOMOCLINIC BIFURCATIONS IN BISTABLE REACTION DIFFUSION-SYSTEMS

H KOKUBU, Y NISHIURA, H OKA

JOURNAL OF DIFFERENTIAL EQUATIONS 86(2) 260-341 1990年8月
NORMAL FORMS FOR CONSTRAINED NONLINEAR DIFFERENTIAL-EQUATIONS .2. BIFURCATION

LO CHUA, H OKA

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 36(1) 71-88 1989年1月
NORMAL FORMS FOR CONSTRAINED NONLINEAR DIFFERENTIAL-EQUATIONS .1. THEORY

LO CHUA, H OKA

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 35(7) 881-901 1988年7月
Constrained systems, characteristic surfaces, and normal forms

Hiroe Oka

Japan Journal of Applied Mathematics 4(3) 393-431 1987年10月
An Approach to Constrained Equations and Strange Attractors

Hiroe Oka, Hiroshi Kokubu

Studies in Mathematics and its Applications 18(C) 607-630 1986年1月1日
Constrained Lorenz-like attractors

Hiroe Oka, Hiroshi Kokubu

Japan Journal of Applied Mathematics 2(2) 495-500 1985年12月
Existence d'attracteurs etranges dans le d'eploiement d'une singularite degeneree d'un champ de vecteuers invariant par translation

Comptes Rendus l'Academie des Sciences, Paris, Serie I, Mathematiques 298巻 39-42頁 1984年

國府宏枝

基本情報

研究キーワード

研究分野

論文

MISC

所属学協会

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