-
1
-
-
0000711745
-
Riddled Basins
-
Alexander, J. C., James A. Yorke, Zhiping You, and Ittai Kan (1992), "Riddled Basins", International Journal of Bifurcation and Chaos 2: 795-813.
-
(1992)
International Journal of Bifurcation and Chaos
, vol.2
, pp. 795-813
-
-
Alexander, J.C.1
Yorke, J.A.2
You, Z.3
Kan, I.4
-
2
-
-
0002764805
-
Proof of a Theorem of A. N. Kolmogorov on the Invariance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian
-
Arnol'd, Vladimir I. (1963a), "Proof of a Theorem of A. N. Kolmogorov on the Invariance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian", Russian Mathematical Surveys 18: 9-36.
-
(1963)
Russian Mathematical Surveys
, vol.18
, pp. 9-36
-
-
Arnol'd, V.I.1
-
3
-
-
0002356196
-
Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics
-
_ (1963b), "Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics", Russian Mathematical Surveys 18: 85-191.
-
(1963)
Russian Mathematical Surveys
, vol.18
, pp. 85-191
-
-
-
4
-
-
0000877933
-
Instability of Dynamical Systems with Several Degrees of Freedom
-
_ (1964), "Instability of Dynamical Systems with Several Degrees of Freedom", Soviet Mathematics 5: 581-585.
-
(1964)
Soviet Mathematics
, vol.5
, pp. 581-585
-
-
-
5
-
-
0009597366
-
Why Equilibrium Statistical Mechanics Works: Universality and the Renormalization Group
-
Batterman, Robert W. (1998), "Why Equilibrium Statistical Mechanics Works: Universality and the Renormalization Group", Philosophy of Science 65: 183-208
-
(1998)
Philosophy of Science
, vol.65
, pp. 183-208
-
-
Batterman, R.W.1
-
6
-
-
84968516134
-
On a Theory of Computation and Complexity over the Real Numbers: NP-Completeness, Recursive Functions, and Universal Machines
-
Blum, Lenore, Mike Shub, and Steve Smale (1989), "On a Theory of Computation and Complexity over the Real Numbers: NP-Completeness, Recursive Functions, and Universal Machines", Bull. Am. Math. Soc. 21: 1-46.
-
(1989)
Bull. Am. Math. Soc.
, vol.21
, pp. 1-46
-
-
Blum, L.1
Shub, M.2
Smale, S.3
-
7
-
-
0003648431
-
-
San Diego, CA: Academic Press
-
Davis, Martin D., and Elaine J. Weyuker (1983), Computability, Complexity, and Languages. San Diego, CA: Academic Press.
-
(1983)
Computability, Complexity, and Languages
-
-
Davis, M.D.1
Weyuker, E.J.2
-
8
-
-
85039564334
-
A Tutorial on KAM Theory
-
De la Llave, Rafael (2001), "A Tutorial on KAM Theory", Mathematical Physics Archive (01-29), http://www.ma.utexas.edu/mp_arc/index-01.html.
-
(2001)
Mathematical Physics Archive
, vol.29
-
-
De la Llave, R.1
-
10
-
-
34347193348
-
Über Formal Unenterscheidbare Städer Principia Mathematica und verwandter Systeme I
-
Gödel, Kurt (1931), "Über Formal Unenterscheidbare Städer Principia Mathematica und verwandter Systeme I", Monatshefte für Mathematik und Physik 38: 173-198. Translated in Kurt Gödel (1986), Collected Works I. Oxford: Oxford University Press.
-
(1931)
Monatshefte für Mathematik und Physik
, vol.38
, pp. 173-198
-
-
Gödel, K.1
-
11
-
-
34347193348
-
-
Oxford: Oxford University Press
-
Gödel, Kurt (1931), "Über Formal Unenterscheidbare Städer Principia Mathematica und verwandter Systeme I", Monatshefte für Mathematik und Physik 38: 173-198. Translated in Kurt Gödel (1986), Collected Works I. Oxford: Oxford University Press.
-
(1986)
Collected Works I
-
-
Gödel, K.1
-
14
-
-
1542670270
-
On the Definition of Computable Functionals
-
_ (1955b), "On the Definition of Computable Functionals", Fundamenta Mathematicae 42: 233-239.
-
(1955)
Fundamenta Mathematicae
, vol.42
, pp. 233-239
-
-
-
15
-
-
0002113398
-
On the Definitions of Computable Real Continuous Functions
-
_ (1957), "On the Definitions of Computable Real Continuous Functions", Fundamenta Mathematicae 44: 61-67.
-
(1957)
Fundamenta Mathematicae
, vol.44
, pp. 61-67
-
-
-
16
-
-
12044254838
-
Experimental and Numerical Evidence for Riddled Basins in Coupled Chaotic Systems
-
Heagy, James F., Thomas L. Carroll, and Louis M. Pecora (1994), "Experimental and Numerical Evidence for Riddled Basins in Coupled Chaotic Systems", Physical Review Letters 73: 3528-3531.
-
(1994)
Physical Review Letters
, vol.73
, pp. 3528-3531
-
-
Heagy, J.F.1
Carroll, T.L.2
Pecora, L.M.3
-
18
-
-
0001554670
-
Why Gibbs Phase Averages Work - The Role of Ergodic Theory
-
Malament, David, and Sandy Zabell (1980), "Why Gibbs Phase Averages Work - The Role of Ergodic Theory", Philosophy of Science 47: 339-349.
-
(1980)
Philosophy of Science
, vol.47
, pp. 339-349
-
-
Malament, D.1
Zabell, S.2
-
20
-
-
0001102743
-
Unpredictability and Undecidability in Dynamical Systems
-
Moore, Cristopher (1990), "Unpredictability and Undecidability in Dynamical Systems", Physical Review Letters 64: 2354-2357.
-
(1990)
Physical Review Letters
, vol.64
, pp. 2354-2357
-
-
Moore, C.1
-
21
-
-
30244452047
-
Generalized Shifts: Unpredictability and Undecidability in Dynamical Systems
-
_ (1991), "Generalized Shifts: Unpredictability and Undecidability in Dynamical Systems", Nonlinearity 4: 199-230.
-
(1991)
Nonlinearity
, vol.4
, pp. 199-230
-
-
-
23
-
-
0013452620
-
Is the Solar System Stable?
-
_ (1978), "Is the Solar System Stable?", Mathematical Intelligencer 1: 65-71.
-
(1978)
Mathematical Intelligencer
, vol.1
, pp. 65-71
-
-
-
24
-
-
1542460845
-
The Decision Problem for Entaglement
-
R. S. Cohen et al. (eds.). Great Britain: Kluwer Academic Publishers
-
Myrvold, Wayne C. (1997), "The Decision Problem for Entaglement," in R. S. Cohen et al. (eds.), Potentiality, Entanglement, and Passion-at-a-Distance. Great Britain: Kluwer Academic Publishers, 177-190.
-
(1997)
Potentiality, Entanglement, and Passion-at-a-distance
, pp. 177-190
-
-
Myrvold, W.C.1
-
25
-
-
33847573999
-
The Transition to Chaotic Attractors with Riddled Basins
-
Ott, Edward, J. C. Alexander, Ittai Kan, John C. Sommerer, and James A. Yorke (1994), "The Transition to Chaotic Attractors with Riddled Basins", Physica D 76: 384.
-
(1994)
Physica D
, vol.76
, pp. 384
-
-
Ott, E.1
Alexander, J.C.2
Kan, I.3
Sommerer, J.C.4
Yorke, J.A.5
-
26
-
-
0010115016
-
Did Poincaré Really Discover Chaos?
-
Parker, Matthew W. (1998), "Did Poincaré Really Discover Chaos?", Stud. Hist. Phil. Mod. Phys. 29, 578-588.
-
(1998)
Stud. Hist. Phil. Mod. Phys.
, vol.29
, pp. 578-588
-
-
Parker, M.W.1
-
27
-
-
0030160831
-
Laplace's Demon Consults an Oracle: The Computational Complexity of Prediction
-
Pitowsky, Itamar (1996), "Laplace's Demon Consults an Oracle: The Computational Complexity of Prediction", Stud. Hist. Phil. Mod. Phys. 27: 161-180.
-
(1996)
Stud. Hist. Phil. Mod. Phys.
, vol.27
, pp. 161-180
-
-
Pitowsky, I.1
-
28
-
-
77951516344
-
Sur le Problème des Trois Corps et les Équations de la Dynamique
-
Poincaré, Henri (1890), "Sur le Problème des Trois Corps et les Équations de la Dynamique", Acta Mathematica 13: 1-270.
-
(1890)
Acta Mathematica
, vol.13
, pp. 1-270
-
-
Poincaré, H.1
-
30
-
-
1542565277
-
On the Stability of the Solar System
-
_ (1898), "On the Stability of the Solar System", Nature 58: 183.
-
(1898)
Nature
, vol.58
, pp. 183
-
-
-
31
-
-
1542670262
-
Le Hasard
-
_ (1907) "Le Hasard", La Revue du Mois 3: 257-276. Translated in Henri Poincaré (1952), Science and Method. New York: Dover Publications, Inc.
-
(1907)
La Revue du Mois
, vol.3
, pp. 257-276
-
-
-
32
-
-
0004099889
-
-
New York: Dover Publications, Inc.
-
_ (1907) "Le Hasard", La Revue du Mois 3: 257-276. Translated in Henri Poincaré (1952), Science and Method. New York: Dover Publications, Inc.
-
(1952)
Science and Method
-
-
Poincaré, H.1
-
33
-
-
0003909276
-
-
[1892-1899]. Reprint. Woodbury, NY: American Institute of Physics. Originally published as Les Méthodes Nouvelles de la Méchanique Céleste
-
_ ([1892-1899] 1993) New Methods of Celestial Mechanics. Reprint. Woodbury, NY: American Institute of Physics. Originally published as Les Méthodes Nouvelles de la Méchanique Céleste.
-
(1993)
New Methods of Celestial Mechanics
-
-
-
34
-
-
84990623105
-
Integrability of Hamiltonian Systems on Cantor Sets
-
Pöschel, Jürgen (1982) "Integrability of Hamiltonian Systems on Cantor Sets", Communications on Pure and Applied Mathematics 35: 653-695.
-
(1982)
Communications on Pure and Applied Mathematics
, vol.35
, pp. 653-695
-
-
Pöschel, J.1
-
35
-
-
84982595449
-
On a Simple Definition of Computable Function of a Real Variable - With Application to Functions of a Complex Variable
-
Pour-El, Marian Boykan, and Jerome Caldwell (1975), "On a Simple Definition of Computable Function of a Real Variable - With Application to Functions of a Complex Variable", Zeitschr. f. math. Logik und Grundlagen d. Math. 21: 1-19.
-
(1975)
Zeitschr. f. Math. Logik und Grundlagen d. Math.
, vol.21
, pp. 1-19
-
-
Pour-El, M.B.1
Caldwell, J.2
-
36
-
-
0000664148
-
Computability and Noncomputability in Classical Analysis
-
Pour-El, Marian Boykan, and Ian Richards (1983), "Computability and Noncomputability in Classical Analysis," Trans. Am. Math. Soc. 275: 539-545.
-
(1983)
Trans. Am. Math. Soc.
, vol.275
, pp. 539-545
-
-
Pour-El, M.B.1
Richards, I.2
-
37
-
-
85055959122
-
Statistical Explanation and Ergodic Theory
-
Sklar, Lawrence (1973), "Statistical Explanation and Ergodic Theory", Philosophy of Science 40: 194-212.
-
(1973)
Philosophy of Science
, vol.40
, pp. 194-212
-
-
Sklar, L.1
-
38
-
-
0004031786
-
-
Cambridge: Cambridge University Press
-
_ (1993), Physics and Chance. Cambridge: Cambridge University Press.
-
(1993)
Physics and Chance
-
-
-
40
-
-
0001201803
-
A Physical System with Qualitatively Uncertain Dynamics
-
Sommerer, John C., and Edward Ott (1993), "A Physical System with Qualitatively Uncertain Dynamics", Nature 365: 138-140.
-
(1993)
Nature
, vol.365
, pp. 138-140
-
-
Sommerer, J.C.1
Ott, E.2
-
41
-
-
4243456384
-
Intermingled Basins of Attraction: Uncomputability in a Simple Physical System
-
Figure reprinted with permission from Elsevier Science, Copyright 1996
-
_ (1996), "Intermingled Basins of Attraction: Uncomputability in a Simple Physical System", Physics Letters A 214: 243-251. Figure reprinted with permission from Elsevier Science, Copyright 1996.
-
(1996)
Physics Letters A
, vol.214
, pp. 243-251
-
-
-
42
-
-
84960561455
-
On Computable Numbers with an Application to the Entscheidungsproblem
-
Turing, Alan (1936), "On Computable Numbers with an Application to the Entscheidungsproblem", Proc. London Math. Soc 42: 230-265.
-
(1936)
Proc. London Math. Soc
, vol.42
, pp. 230-265
-
-
Turing, A.1
-
43
-
-
0012524365
-
Epsilon-Ergodicity and the Success of Equilibrium Statistical Mechanics
-
Vranas, Peter B. M. (1998), "Epsilon-Ergodicity and the Success of Equilibrium Statistical Mechanics", Philosophy of Science 65: 688-708.
-
(1998)
Philosophy of Science
, vol.65
, pp. 688-708
-
-
Vranas, P.B.M.1
-
45
-
-
0000299496
-
Undecidability and Intractability in Theoretical Physics
-
Wolfram, Stephen (1985), "Undecidability and Intractability in Theoretical Physics", Physical Review Letters 54: 735-738.
-
(1985)
Physical Review Letters
, vol.54
, pp. 735-738
-
-
Wolfram, S.1
|