Papers and Articles
(更新2011年4月6日)
<Published papers>
Refereed papers
- (with K. Ishiyama)
Recognition of transition patterns in a business cycle model
by unstable periodic orbits, accepted for publication in International Journal of Bifurcation and Chaos, 2011.
- (with A. Chian and H. Yoshida) Economic intermittency in a two-country model of business cycles coupled by investment, accepted for publication in Chaos, Solitons and Fractals, 2011.
- (with M. U. Kobayashi) Numerical identification of nonhyperbolicity of the Lorenz system through Lyapunov vectors, JSIAM Letters 2, 107-110, 2010.
- (with A. Chian, R. Miranda, E. Rempel and M. Yamada), Amplitude-Phase Synchronization at the Onset of Permanent Spatiotemporal Chaos, Physical Review Letters, 104, 254102:1-4, 2010.
- (with M. Yamada) Reply to "Comment on `Time averaged properties of
unstable periodic orbits and chaotic orbits in ordinary
differential equation systems'",
Physical Review E, 81,
019202:1-2, 2010.
- (with M. Yamada) Time averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems, Physical Review E 79(1),015201:1-4, 2009.
- (with M. Yamada) Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems, Nonlinear Processes in Geophysics 15, pp675-680, 2008.
- (with M. Yamada) Chaotic properties of a fully-developed model
turbulence, Nonlinear Processes in Geophysics 14, 631-640, 2007.
- Numerical detection of unstable periodic
orbtis in continuous-time dynamical systems with
chaotic behaviors,
Nonlinear Processes in Geophysics 14, 615-620, 2007.
- (with K. Ishiyama) Unstable Periodic orbits and
chaotic transitions among growth patterns of an economy,
the Practical Fruits of Econophysics: Proceedings of the
Third Nikkei Econophysics Symposium, Springer (H.Takayasu Ed.) ,
339-343, 2006.
- (with K. Ishiyama) Unstable Periodic Orbits
embedded in a Chaotic Economic Dynamics Model
: A Typical Structure of a Generalized Goodwin Model,
Applied Economics Letters, 12, 749-753, 2005.
- (with K. Ishiyama) Unstable periodic orbits
and chaotic economic growth, Chaos, Solitons and Fractals,
26, 33-42, 2005.
Invited review papers
- 微分方程式に埋め込まれた不安定周期軌道の性質と数値的検出,
「三田学会雑誌」101巻3号 93-109, 2008.
- Extraction unstable cycles from ordinary differential equation systems,
Seminar on Mathematical Sciences Keio University 37, 19-34, 2008.
Non refereed papers
- (with M. U. Kobayashi) Manifold Structures of Unstable Periodic Orbits and the Appearance of Periodic Windows in the Lorenz system,
京都大学数理解析研究所講究録 1713, 35-43, 2010.
- (with M. Yamada) Unstable peiodic orbits embedded in a continuous time dynamical system,
京都大学数理解析研究所講究録 1713, 111-123, 2010.
- ローレンツ系の非双曲構造に関する不安定周期軌道解析に関する数値的研究,
Hokkaido University Technical Report Series in Mathematics,
142, 124-127,
2010.
- 連続カオス力学系の不安定周期軌道上の軌道平均値,
京都大学学術情報メディアセンター全国共同利用版[広報] 8(2), pp18-19, 2009.
- Time averaged properties along unstable periodic orbits and
chaotic orbits in some systems of differential equations, ,
Hokkaido University Technical Report Series in Mathematics,
140, 229-236,
2009.
- (with M. Yamada) カオス力学系の不安定周期軌道の統計について, 京都大学数理解析研究所講究録 1608, pp40-46, 2008.
- Chaotic Lorenz system and unstable
periodic orbits,
Hokkaido University Technical Report Series in Mathematics, 117,
185-192, 2007.
- Unstable periodic orbits of a growth cycle model,
Proceedings of the Cherry Bud Workshop 2006
-Building Models from Data-, Keio University,
339-343, 2006.
- Numerical study about a chaotic
dynamical system based on unstable periodic orbits
-- Bussiness cycle model of macro-economics --,
東京大学大学院数理科学研究科博士学位論文, 2006年3月.
- (with K. Ishiyama) マクロ経済学の景気循環モデルに対する不安定周期軌道解析, 京都大学数理解析研究所講究録 1454, 96-110, 2005.
- (with K. Ishiyama) Unstable Periodic Orbits and Chaotic Transitions
in a Macro-economic Model,
京都大学数理解析研究所講究録 1443, 95-102, 2005.
- (with K. Ishiyama) Characterization of
a Chaotic Economic Dynamics by Unstable Periodic Solutions
: An Application to a Generalized Goodwin Model,
京都大学数理解析研究所講究録, 1337, 92-102, 2003.
- Construction and Applications of Spatio-temporal Continuous
Wavelet Transforms accompanied with Scale invariances of
Differential Equations /微分方程式のスケール不変性に伴う
時空連続ウェーブレット変換の導出とその応用
東京大学大学院数理科学研究科数理科学専攻修士論文, 2002年3月.
<Preprints>
- (with M. U. Kobayashi) Manifold structures of Unstable Periodic Orbits and the Appearance of a Periodic Window in Chaotic Systems.
- (with M. Yamada, A. Chian, R. Miranda and E. Rempel) Reconstruction of chaotic saddles and classification of unstable periodic orbits.
<Others>
- 斉木吉隆, 数値計算とその周辺, 数理経済学研究センター会報 第31号, 15-18, 2008年
- 斉木吉隆,「流体力学夏の学校2007-流体力学への幾何学的アプローチ」の報告,
日本流体力学会誌「ながれ」, 27巻第1号, pp87-87, 2008年
- 斉木吉隆, ブラジルINPE紹介, 日本流体力学会誌「ながれ」, 25巻第5号,
pp567--570, 2006年12月.
- 斉木吉隆,「流体若手夏の学校2002-力学系としての流体力学」の報告,
日本流体力学会誌「ながれ」, 21巻第5号, pp457-457, 2002年.
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