論文目録
Arnold, V.I.: 小分母と古典および天体力学における運動の安定性の問題
Small denominators and problems of stability of motion in classical and
celestial mechanics
Uspekhii Math. Hauk, Russian Math. 18(1963),92-192.
Bangert, V.: ねじれ写像のマザー集合とトーラス上の測地線
Mather sets for twist maps and geodesics on tori
Dynamics Reported 1, 1-56(1988)
Benettin, G., Galgani, L., and Strelcyn, J.-M.:
コルモゴロフ・エントロピーと数値実験
Kolmogorov Entropy and numerical experiments
Physical Review A 14(1976), 2338-2345
Birkhoff, George D.: ポアンカレの幾何学定理の証明
Proof of Poincare's geometric theorem
Trans. Amer. Math. Soc. 14(1913), 14-22
Birkhoff, George D.: ポアンカレの幾何学定理の拡張
An extension of Poincare's last geometric theorem
Acta Mathematica 47(1925), 297-311
Brown, M. and Neumann, W.D.: ポアンカレ・バーコフの不動点定理の証明
Proof of the Poincare-Birkhoff fixed point theorem
Michigan Math. J. 24(1977), 21-31
Brown, M.: 平行移動弧に関するブラウワーの補題の新たな証明
A new proof of Brouwer's lemma on translation arcs
Houston Journal of Mathmatics 10(1984), 35-41
Chambers, J.E., Wetherill, G.W., and Boss, A.P.: 多惑星系の安定性
The stability of multi-planet systems
ICARUS 119(1996), 261-268
Chyba, C.F., Whitmire, D.P., and Reynolds, R.:
惑星の居住可能性と生命の起源
Planetary habitability and the origin of life
Protostars and Planets IV, University of Arizona, 2000
Cocconi, G. and Morrison, P.: 星間通信の探索
Searching for interstellar communications
Nature Vol.184(1959), 844-846
Conley, C.: 流れの勾配構造 I.
The gradient structure of a flow I.
Ergodic Theory and Dynamical Systems 8(1988), 11-26
Devaney, R.L.: 平面三体問題の三体衝突
Triple collision in the planar isosceles three body problem
Inventiones Mathemticae 60(1980), 249-267
Dragt, A.J. and Finn, J.M.:
リー級数およびシンプレクティック写像の不変関数
Lie series and invariant functions for analytic symplectic maps
J. Math. Phys. 17(1976), 2215-2227
Fernandez, J.A.: オールト雲の起源と原始銀河環境
The formation of the Oort cloud and the primitive Galactic
environment
Icarus 129(1997), 106-119
Franks, John: ポアンカレ・バーコフの定理の変形版
A variation of the Poincare-Birkhoff theorem
Contemporary Mathematics 81(1988), 111-116
Franks, John: 平面の面積保存微分同相写像の周期点と回転数
Periodic points and rotation numbers for area preserving
diffeomorphisms of the plane
Publ. Math. IHES 71(1990), 105-120
Grassberger, P. and Procaccia, I.: ストレンジアトラクターの特徴づけ
Characterization of Strange Attractors
Physical Review Letters 50(1983), 346-349
Gronchi, G.F. and Milani, A.: 地球交差軌道の平均化
Averaging on Earth-crossing orbits
Celestial Mechanics and Dynamical Astronomy 71(1999), 109-136
Hall, G.R.: ねじれ写像のマザーの定理のトポロジー版
A topological version of a theorem of Mather on twist maps
Ergodic Theory and Dynamical Systems 4(1984), 585-603
Herman, M.R.: 円環の微分同相写像の不変曲線について
sur les courbes invariantes par les diffeomorphismes de l'anneau
asterisque 103-104, 1983
Holman, M., Touma, J., and Tremaine, S.:
16 Cygni Bを回る惑星軌道の離心率のカオス的変動
Chaotic variations in the eccentricity of the planet orbiting
16 Cygni B
Nature 386(1997), 254-256
Hori, G. (堀源一郎):
正準変数を指定しない一般摂動論(伊藤孝士 訳)
Theory of general perturbatioons with unspecified canonical
variables
Publ. Astron. Soc. Japan 18(1966), 287-296
Katok, A.: バーコフおよびマザーのねじれ写像定理に関する注意
Some remarks on Birkhoff and Mather twist map theorems
Ergodic Theory and Dynamical Systems 2(1982), 185-194
Kolmogorov, A.N.: ハミルトン関数が小さな摂動を持つときの準周期運動
The conservation of conditionally periodic motion with a small
variation in the Hamiltonian
Dokl. Akad. Nauk SSSR 98(1954), 527-530.
Mather, J.N.: 円環のねじれ同相写像における準周期軌道の存在
Existence of quasi-periodic orbits for twist homeomorphisms of
the annulus
Topology 21(1982), 457-467
Mather, J.N.: 不変円の非存在
Non-existence of invariant circles
Ergodic Theory and Dynamical Systems 4(1984), 301-309
Mather, J.N. and McGehee, R.: 有限時間に非有界になる直線4体問題の解
Solutions of the collinear four body problem which become
unbounded in finite time
Lecture Notes in Physics 38(1975), 573-597
McGehee, Richard: 直線三体問題の三体衝突
Triple collision in the collinear three-body problem
Invetiones Mathematicae 27(1974), 191-227
McGehee, Richard: 天体力学における特異性に関するvon Zeipelの定理
Von Zeipel's theorem on singularities in celestial mechanics
Exposiones Mathematicae 4(1986), 335-345
McKay, C.P.: 彗星上の生命
Life in comets
Comets and the Origin and Evolution of life
(eds. P.J. Thomas, C.F. Chyba, C.P. McKay), Springer, Berlin, 1996.
Milnor, John: アトラクターの概念について
On the concept of attractor
Commun. Math. Phys. 99(1985), 177-195
Morbidelli, Alessandro:
カイパーベルトの2/3共鳴からのカオス的拡散と彗星の起源
Chaotic diffusion and the origin of comets from the 2/3
resonance in the Kuiper belt
Icarus 127(1997), 1-12
Moser, Jurgen: 円環の面積保存写像の不変曲線について
On invariant curves of area-preserving mappings of an annulus
Nachr. Akad. Wiss. Gottingen Math.0Phys. Kl. II, 1-20(1962)
Nekhoroshev, N.N.: 近可積分ハミルトン系の安定時間の指数関数的評価
An exponential estimate of the time of stability of
nearly-integrable Hamiltonian systems
Uspekhii Math. Nauk 32:6(1977), 5-66.
Poincare, H.: 幾何学のある定理について
Sur un theoreme de geometrie
Rend. Cir. Mat. Palermo 33(1912), 375-407
Ruelle, D.: 力学系の小さな乱歩的摂動とアトラクターの定義
Small random perturbations of dynamical systems and the definitions
of attractors
Commun. Math. Phys. 82(1981), 137-151
Saari, D.G.: ニュートン重力系の特異点と衝突
Singularities and collisions of Newtonian gravitational systems
Arch. Rational Mech. and Anal. 49(1973), 311-320
Saari, D.G. and Xia, Zhihong:
ニュートン系における振動運動および超双曲運動の存在
The existence of oscillatory and super hyperbolic motions in
newtonian systems
Journal of Differential rquations 82(1989), 342-355
Saha, P. and Tremaine, S.: 太陽系力学のためのシンプレクティック積分法
Symplectic integrators for solar system dynamics
Astronomical Journal 104(1992), 1633-1640
Sakurai, T.: 磁気恒星風 --- Weber-Davisモデルの２次元への拡張
Magnetic stellar winds - A 2-D generalization of the Weber-Davis
model
Astron. Astrophys. Vol.152(1985), 121-129.
Sharaf, S.G. and Budnikova, N.A.:
地球軌道要素の永年摂動と気候変動の天文学理論
Secular perturbations in the elements of the Earth's orbit and
the astronomical theory of climate variations
Trudy Inst. Theor. Astron. SSSR 14(1969), 48-84
Shimada, I. and Nagashima, T.:
散逸力学系のエルゴード問題への数値的アプローチ
A Numerical Approach to Ergodic Problem of Dissipative Dynamical
Systems
Progr. Theor. Phys. 61(1979), 1605-1616
Simo, C. and Martinez, R.: 平面二等辺三体問題の定性的研究
Qualitative study of the planar isosceles three-body problem
Celestial Mechanics 41(1988), 179-251
Sitnikov, K.: 三体問題における振動解の存在
The existence of oscillatory motions in the three-body problem
Dokl. Akad. Nauk. SSSR 133(1960), 303-306
Stephenson, F.R. and Morrison, L.V.:
地球回転の長期的ゆらぎ: 紀元前700年から紀元1990年
Long-term fluctuations in the Earth's rotation: 700BC to AD 1990
Phil. Trans. R. astr. Soc. London A Vol.351, 165-202(1995)
Tanikawa, K. and Mikkola, S.: 記号力学による1次元三体問題
One-dimensional three-body problem via symbolic dynamics
Chaos 10(2000), 649-657
Zeipel, H. von: n体問題の特異点について
Sur les singularites du probleme des n corps
Arkiv for Matematik, Astronomi och Fysik 4(1908), 1-4
Xia, Zhihong: 制限三体問題におけるメルニコフの方法と横断的ホモクリニック点
Melnikov method and transversal homoclinic points in the
restricted three-body problem
Journal of Differential Equations 96(1992), 170-184
Xia, Zhihong: ニュートン系における非衝突特異性
The existence of noncollision singularities in newtonian systems
Annals of Mathematics 135(1992), 411-468