-
1
-
-
0002392160
-
A personal overview of non-linear time series analysis from a chaos perspective
-
H. Tong, A personal overview of non-linear time series analysis from a chaos perspective. Scand. J. Stat. 22: 399-445, 1995.
-
(1995)
Scand. J. Stat.
, vol.22
, pp. 399-445
-
-
Tong, H.1
-
2
-
-
0342426385
-
A dynamical systems approach to time series analysis
-
T. Mullin, (ed.), Chap. 2. Oxford: Oxford University Press
-
T. Mullin, A dynamical systems approach to time series analysis. In The Nature ofChaos, T. Mullin, (ed.), Chap. 2. Oxford: Oxford University Press, 1993.
-
(1993)
The Nature ofChaos
-
-
Mullin, T.1
-
3
-
-
0001974770
-
Statistical aspects of chaos: A review
-
O. E. Barndorff-Nielsen, J. L. Jensen, and W. S. Kendall, (eds.), Chap. 3. London: Chapman & Hall
-
V. Isham, Statistical aspects of chaos: a review. In Networks and Chaos-Statistical and Probabilistic Aspects, O. E. Barndorff-Nielsen, J. L. Jensen, and W. S. Kendall, (eds.), Chap. 3. London: Chapman & Hall, 1993.
-
(1993)
Networks and Chaos-Statistical and Probabilistic Aspects
-
-
Isham, V.1
-
4
-
-
0000202504
-
Chaos and deterministic versus stochastic non-linear modelling
-
M. Casdagli, Chaos and deterministic versus stochastic non-linear modelling. J. R. Stat. Soc. B. 54: 303-328, 1992.
-
(1992)
J. R. Stat. Soc. B.
, vol.54
, pp. 303-328
-
-
Casdagli, M.1
-
5
-
-
0000121132
-
An experimentalist’s introduction to the observation of dynamical systems
-
Hao Bai-Lin, (ed.), Singapore: World Scientific
-
N. Gershenfeld, An experimentalist’s introduction to the observation of dynamical systems. In Directions in Chaos, Vol. 2, Hao Bai-Lin, (ed.), pp. 310-383. Singapore: World Scientific, 1988.
-
(1988)
Directions in Chaos
, vol.2
, pp. 310-383
-
-
Gershenfeld, N.1
-
6
-
-
0019815049
-
Phase locking, period doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells
-
M. R. Guevara, L. Glass, and A. Shrier, Phase locking, period doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells. Science 214: 1350-1352, 1981.
-
(1981)
Science
, vol.214
, pp. 1350-1352
-
-
Guevara, M.R.1
Glass, L.2
Shrier, A.3
-
7
-
-
0025105082
-
Supernormal excitability as a mechanism of chaotic dynamics of activation in cardiac Purkinje fibers
-
D. R. Chialvo, D. C. Michaels, and J. Jalife, Supernormal excitability as a mechanism of chaotic dynamics of activation in cardiac Purkinje fibers. Circ. Res. 66: 525-545, 1990.
-
(1990)
Circ. Res.
, vol.66
, pp. 525-545
-
-
Chialvo, D.R.1
Michaels, D.C.2
Jalife, J.3
-
9
-
-
0026758237
-
Forced oscillations in sympathetic nerve discharge
-
Z. S. Huang, G. L. Gebber, S. Zhong, and S. Barman, Forced oscillations in sympathetic nerve discharge. Am. J. Physiol. 263: R564-R571, 1992.
-
(1992)
Am. J. Physiol.
, vol.263
, pp. R564-R571
-
-
Huang, Z.S.1
Gebber, G.L.2
Zhong, S.3
Barman, S.4
-
10
-
-
0026050335
-
Chaos in blood flow control in genetic and renovascular hypertensive rats
-
K. P. Yip, N. H. Holstein-Rathlou, and D. J. Marsh, Chaos in blood flow control in genetic and renovascular hypertensive rats. Am. J. Physiol. 261: F400-F408, 1991.
-
(1991)
Am. J. Physiol.
, vol.261
, pp. F400-F408
-
-
Yip, K.P.1
Holstein-Rathlou, N.H.2
Marsh, D.J.3
-
11
-
-
0028841436
-
Complexity and “chaos” in blood pressure after baroreceptor denervation of conscious dogs
-
C. D. Wagner, R. Mrowka, B. Nafz, and P. B. Persson, Complexity and “chaos” in blood pressure after baroreceptor denervation of conscious dogs. Am. J. Physiol. 269: H1760-H1766, 1996.
-
(1996)
Am. J. Physiol.
, vol.269
, pp. H1760-H1766
-
-
Wagner, C.D.1
Mrowka, R.2
Nafz, B.3
Persson, P.B.4
-
12
-
-
84973949757
-
How brains make chaos in order to make sense of the world
-
C. A. Skarda and W. J. Freeman, How brains make chaos in order to make sense of the world. Behav. Brain Sci. 10: 161-195, 1987.
-
(1987)
Behav. Brain Sci.
, vol.10
, pp. 161-195
-
-
Skarda, C.A.1
Freeman, W.J.2
-
13
-
-
0031021462
-
Nonlinear analysis of heart rate and respiratory dynamics
-
D. Hoyer, K. Schmidt, R. Bauer, U. Zwiener, M. Kohler, B. Luthke, and M. Eiselt, Nonlinear analysis of heart rate and respiratory dynamics. IEEE Eng. Med. Bioi. Mag. 16(1): 31-39, 1997.
-
(1997)
IEEE Eng. Med. Bioi. Mag.
, vol.16
, Issue.1
, pp. 31-39
-
-
Hoyer, D.1
Schmidt, K.2
Bauer, R.3
Zwiener, U.4
Kohler, M.5
Luthke, B.6
Eiselt, M.7
-
14
-
-
0343970775
-
Neimark bifurcation, almost periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance
-
W. Szemplinska-Stupnicka and J. Rudowski, Neimark bifurcation, almost periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance. Phys. Lett. A 192: 201-206, 1994.
-
(1994)
Phys. Lett. A
, vol.192
, pp. 201-206
-
-
Szemplinska-Stupnicka, W.1
Rudowski, J.2
-
15
-
-
84957234450
-
How random is a coin toss?
-
J. Ford, How random is a coin toss? Phys. Today 36(4): 40, 1983.
-
(1983)
Phys. Today
, vol.36
, Issue.4
, pp. 40
-
-
Ford, J.1
-
16
-
-
0000543733
-
A multiplicative ergodic theorem
-
V. I. Oseledec, A multiplicative ergodic theorem. Trans. Moscow. Math. Soc. 19: 197-231, 1968.
-
(1968)
Trans. Moscow. Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledec, V.I.1
-
17
-
-
35949037738
-
Kolmogorov entropy and numerical experiments
-
G. Benettin, L. Galgani, and J. M. Strelcyn, Kolmogorov entropy and numerical experiments. Phys. Rev. A 14: 2338-2345, 1976.
-
(1976)
Phys. Rev. A
, vol.14
, pp. 2338-2345
-
-
Benettin, G.1
Galgani, L.2
Strelcyn, J.M.3
-
18
-
-
0021224909
-
Determining Lyapunov exponents from a time series
-
A. Wolfe, J. B. Swift, H. L. Swinney, and J. A. Vastano, Determining Lyapunov exponents from a time series. Physica D 16: 285-317, 1985.
-
(1985)
Physica D
, vol.16
, pp. 285-317
-
-
Wolfe, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
19
-
-
0007287076
-
Multiperiodic flows, chaos and Lyapunov exponents
-
H. Fujisaka, Multiperiodic flows, chaos and Lyapunov exponents. Prog. Theor. Phys. 68: 1105-1119, 1982.
-
(1982)
Prog. Theor. Phys.
, vol.68
, pp. 1105-1119
-
-
Fujisaka, H.1
-
20
-
-
0012841756
-
Numerical computations on a stochastic parameter related to Kolmogorov entropy
-
M. Casartelli, E. Diana, L. Galgani, and A. Scotti, Numerical computations on a stochastic parameter related to Kolmogorov entropy. Phys. Rev. A 13: 1921-1925, 1976.
-
(1976)
Phys. Rev. A
, vol.13
, pp. 1921-1925
-
-
Casartelli, M.1
Diana, E.2
Galgani, L.3
Scotti, A.4
-
21
-
-
0000672504
-
A numerical approach to ergodic problem of dissipative systems
-
I. Shimada and T. Nagashima, A numerical approach to ergodic problem of dissipative systems. Prog. Theor. Phys. 61: 1605-1613, 1979.
-
(1979)
Prog. Theor. Phys.
, vol.61
, pp. 1605-1613
-
-
Shimada, I.1
Nagashima, T.2
-
22
-
-
0018989294
-
Lyapunov characteristic exponents for smooth dynamical systems: A method for computing all of them
-
G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Lyapunov characteristic exponents for smooth dynamical systems: A method for computing all of them. Meccanica 15: 9-19, 1980.
-
(1980)
Meccanica
, vol.15
, pp. 9-19
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
Strelcyn, J.-M.4
-
24
-
-
0346372923
-
The infinite number of generalized dimensions of fractals and strange attractors
-
H. G. E. Hentschel and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors. Physica D 8: 435-444, 1983.
-
(1983)
Physica D
, vol.8
, pp. 435-444
-
-
Hentschel, H.G.E.1
Procaccia, I.2
-
25
-
-
0001640825
-
Functional differential equations and the approximation of fixed points
-
Berlin: Springer-Verlag
-
J. Kaplan and J. Yorke, Functional differential equations and the approximation of fixed points. In Lecture Notes in Mathematics, No. 730. Berlin: Springer-Verlag, 1979.
-
(1979)
Lecture Notes in Mathematics
, Issue.730
-
-
Kaplan, J.1
Yorke, J.2
-
26
-
-
33646981873
-
Characterization of strange attractors
-
P. Grassberger and I. Procaccia, Characterization of strange attractors. Phys. Rev. Lett. 50: 346-349, 1983.
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 346-349
-
-
Grassberger, P.1
Procaccia, I.2
-
27
-
-
0001285133
-
Deterministic chaos: The science and the fiction
-
D. Ruelle, Deterministic chaos: The science and the fiction. Proc. R. Soc. Lond. A 427: 241-248, 1990.
-
(1990)
Proc. R. Soc. Lond. A
, vol.427
, pp. 241-248
-
-
Ruelle, D.1
-
28
-
-
0039097317
-
Comments on “Deterministic chaos: The science and the fiction” by D. Ruelle
-
C. Essex and M. A. H. Nerenberg, Comments on “Deterministic chaos: the science and the fiction” by D. Ruelle. Proc. R. Soc. Lond. A 435: 287-292, 1991.
-
(1991)
Proc. R. Soc. Lond. A
, vol.435
, pp. 287-292
-
-
Essex, C.1
Nerenberg, M.A.H.2
-
29
-
-
0242328535
-
An amendment to the fundamental limit on dimension calculations
-
S.-Z. Hong and S.-M. Hong, An amendment to the fundamental limit on dimension calculations. Fractals 2: 123-125, 1994.
-
(1994)
Fractals
, vol.2
, pp. 123-125
-
-
Hong, S.-Z.1
Hong, S.-M.2
-
30
-
-
35949021230
-
Geometry from a time series
-
N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Geometry from a time series. Phys. Rev. Lett. 45: 712-716, 1980.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 712-716
-
-
Packard, N.H.1
Crutchfield, J.P.2
Farmer, J.D.3
Shaw, R.S.4
-
31
-
-
0000779360
-
Detecting strange attractors in turbulence
-
D. A. Rand and L. S. Young, eds. Berlin: Springer
-
F. Takens, Detecting strange attractors in turbulence. In Dynamical Systems and Turbulence, D. A. Rand and L. S. Young, eds. Berlin: Springer, 1981.
-
(1981)
Dynamical Systems and Turbulence
-
-
Takens, F.1
-
32
-
-
0000920052
-
Rigorous verification of trajectories for computer simulation of dynamical systems
-
T. Sauer and J. A. Yorke, Rigorous verification of trajectories for computer simulation of dynamical systems. Nonlinearity 4: 961-979, 1991.
-
(1991)
Nonlinearity
, vol.4
, pp. 961-979
-
-
Sauer, T.1
Yorke, J.A.2
-
34
-
-
0025199496
-
Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series
-
G. Sugihara and R. M. May, Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344: 734-741, 1990.
-
(1990)
Nature
, vol.344
, pp. 734-741
-
-
Sugihara, G.1
May, R.M.2
-
35
-
-
0037723718
-
Distinguishing chaos from noise
-
Chap. 7. Oxford: Oxford University Press
-
D. Holton and R. M. May, Distinguishing chaos from noise. In The Nature of Chaos, Chap. 7. Oxford: Oxford University Press, 1993.
-
(1993)
The Nature of Chaos
-
-
Holton, D.1
May, R.M.2
-
36
-
-
35949011725
-
Singular-value decomposition and the Grassberger-Procaccia algorithm
-
A. M. Albano, J. Muench, C. Schwartz, A. I. Mees, and P. E. Rapp, Singular-value decomposition and the Grassberger-Procaccia algorithm. Phys. Rev. A 38: 3017, 1988.
-
(1988)
Phys. Rev. A
, vol.38
, pp. 3017
-
-
Albano, A.M.1
Muench, J.2
Schwartz, C.3
Mees, A.I.4
Rapp, P.E.5
-
37
-
-
0003145759
-
Phase portraits from a time series: A singular system approach
-
G. P. King, R. Jones, and D. S. Broomhead, Phase portraits from a time series: A singular system approach. Nucl. Phys. B 2: 379, 1987.
-
(1987)
Nucl. Phys. B
, vol.2
, pp. 379
-
-
King, G.P.1
Jones, R.2
Broomhead, D.S.3
-
38
-
-
34548696055
-
Independent coordinates for strange attractors from mutual information
-
A. M. Fraser and H. Swinney, Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33: 1134-1139, 1986.
-
(1986)
Phys. Rev. A
, vol.33
, pp. 1134-1139
-
-
Fraser, A.M.1
Swinney, H.2
-
39
-
-
30244464950
-
Proper choice of the time delay for the analysis of chaotic time series
-
W. Liebert and H. G. Schuster, Proper choice of the time delay for the analysis of chaotic time series. Phys. Lett. A 142: 107, 1989.
-
(1989)
Phys. Lett. A
, vol.142
, pp. 107
-
-
Liebert, W.1
Schuster, H.G.2
-
40
-
-
0002064172
-
Using higher-order correlations to define an embedding window
-
A. M. Albano, A. Passamante, and M. E. Farrell, Using higher-order correlations to define an embedding window. Physica D 54: 85, 1991.
-
(1991)
Physica D
, vol.54
, pp. 85
-
-
Albano, A.M.1
Passamante, A.2
Farrell, M.E.3
-
41
-
-
0001089951
-
Mutual information, strange attractors, and the optimal estimation of dimension
-
J. M. Martinerie, A. M. Albano, A. I. Mees, and P. E. Rapp, Mutual information, strange attractors, and the optimal estimation of dimension. Phys. Rev. A. 45: 7058, 1992.
-
(1992)
Phys. Rev. A.
, vol.45
, pp. 7058
-
-
Martinerie, J.M.1
Albano, A.M.2
Mees, A.I.3
Rapp, P.E.4
-
42
-
-
26544461279
-
Reconstruction expansion as a geometrybased framework for choosing proper delay times
-
M. T. Rosenstein, J. J. Collins, and C. J. de Luca, Reconstruction expansion as a geometrybased framework for choosing proper delay times. Physica D 73: 82-98, 1994.
-
(1994)
Physica D
, vol.73
, pp. 82-98
-
-
Rosenstein, M.T.1
Collins, J.J.2
De Luca, C.J.3
-
43
-
-
0001394076
-
Measurement of the Lyapunov spectrum from a chaotic time series
-
M. Sano and Y. Sawada, Measurement of the Lyapunov spectrum from a chaotic time series. Phys. Rev. Lett. 55: 1082-1085, 1985.
-
(1985)
Phys. Rev. Lett.
, vol.55
, pp. 1082-1085
-
-
Sano, M.1
Sawada, Y.2
-
44
-
-
43949166788
-
A practical method for calculating largest Lyapunov exponents from small data sets
-
M. T. Rosenstein, J. J. Collins, and C. J. de Luca, A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 65: 117-134, 1994.
-
(1994)
Physica D
, vol.65
, pp. 117-134
-
-
Rosenstein, M.T.1
Collins, J.J.2
De Luca, C.J.3
-
46
-
-
0000314757
-
Using surrogate data to detect nonlinearity in time series
-
M. Casdagli and S. Eubank, eds. New York: Addison-Wesley
-
J. Theiler, B. Galdrikian, A. Longtin, S. Eubank, and J. D. Farmer, Using surrogate data to detect nonlinearity in time series. In Nonlinear Modeling and Forecasting, M. Casdagli and S. Eubank, eds. New York: Addison-Wesley, 1992.
-
(1992)
Nonlinear Modeling and Forecasting
-
-
Theiler, J.1
Galdrikian, B.2
Longtin, A.3
Eubank, S.4
Farmer, J.D.5
-
48
-
-
12044259811
-
Where can one hope to profitably apply the ideas of chaos?
-
July
-
D. Ruelle, Where can one hope to profitably apply the ideas of chaos? Phys. Today July: 2430, 1994.
-
(1994)
Phys. Today
, pp. 2430
-
-
Ruelle, D.1
-
49
-
-
0001033183
-
Construction and analysis of differential equations from experimental time series of oscillatory systems
-
B. R. Noack, F. Ohle, and H. Eckelmann, Construction and analysis of differential equations from experimental time series of oscillatory systems. Physica D 56: 389-405, 1992.
-
(1992)
Physica D
, vol.56
, pp. 389-405
-
-
Noack, B.R.1
Ohle, F.2
Eckelmann, H.3
-
50
-
-
0002972668
-
Controlling chaos
-
May
-
E. Ott and M. Spano, Controlling chaos. Phys. Today May: 34-40, 1995.
-
(1995)
Phys. Today
, pp. 34-40
-
-
Ott, E.1
Spano, M.2
|