-
1
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz E N 1963 Deterministic nonperiodic flow J. Atmos. Sci. 20 130-41
-
(1963)
J. Atmos. Sci.
, vol.20
, Issue.2
, pp. 130-141
-
-
Lorenz, E.N.1
-
2
-
-
12844280488
-
Introducing students to nonlinearity: Computer experiments with Burgers mappings
-
MacDonald N and Whitehead R R 1985 Introducing students to nonlinearity: computer experiments with Burgers mappings Eur. J. Phys. 6 143-7
-
(1985)
Eur. J. Phys.
, vol.6
, Issue.3
, pp. 143-147
-
-
MacDonald, N.1
Whitehead, R.R.2
-
4
-
-
12844277247
-
From order into chaos
-
Rodgers G J 1992 From order into chaos Phys. Educ. 27 14-7
-
(1992)
Phys. Educ.
, vol.27
, Issue.1
, pp. 14-17
-
-
Rodgers, G.J.1
-
7
-
-
12844286863
-
The butterfly that stamped: A brief introduction to nonlinear dynamics and chaos
-
Borcherds P H 1995 The butterfly that stamped: a brief introduction to nonlinear dynamics and chaos Phys. Educ. 30 372-81
-
(1995)
Phys. Educ.
, vol.30
, Issue.6
, pp. 372-381
-
-
Borcherds, P.H.1
-
8
-
-
12844268075
-
A simple electronic circuit to demonstrate bifurcation and chaos
-
Hobson P R and Lansbury A N 1996 A simple electronic circuit to demonstrate bifurcation and chaos Phys. Educ. 31 39-43
-
(1996)
Phys. Educ.
, vol.31
, Issue.1
, pp. 39-43
-
-
Hobson, P.R.1
Lansbury, A.N.2
-
9
-
-
0000300606
-
A simple mathematical model of a dripping tap
-
Schmidt T and Marhl M 1997 A simple mathematical model of a dripping tap Eur. J. Phys. 18 377-83
-
(1997)
Eur. J. Phys.
, vol.18
, Issue.5
, pp. 377-383
-
-
Schmidt, T.1
Marhl, M.2
-
10
-
-
12844264681
-
A simple experimental demonstration of chaos in a driven spherical pendulum
-
Martin S J and Ford P J 2001 A simple experimental demonstration of chaos in a driven spherical pendulum Phys. Educ. 36 108-14
-
(2001)
Phys. Educ.
, vol.36
, Issue.2
, pp. 108-114
-
-
Martin, S.J.1
Ford, P.J.2
-
11
-
-
0036502887
-
Order and chaos: Are they contradictory or complementary?
-
Gitterman M 2002 Order and chaos: are they contradictory or complementary? Eur. J. Phys. 23 119-22
-
(2002)
Eur. J. Phys.
, vol.23
, Issue.2
, pp. 119-122
-
-
Gitterman, M.1
-
13
-
-
23844518918
-
The dynamics of human gait
-
Perc M 2005 The dynamics of human gait Eur. J. Phys. 26 525-34
-
(2005)
Eur. J. Phys.
, vol.26
, Issue.3
, pp. 525-534
-
-
Perc, M.1
-
14
-
-
19944423802
-
Visualizing the attraction of strange attractors
-
Perc M 2005 Visualizing the attraction of strange attractors Eur. J. Phys. 26 579
-
(2005)
Eur. J. Phys.
, vol.26
, Issue.4
, pp. 579
-
-
Perc, M.1
-
15
-
-
12844274426
-
Detecting chaos from a time series
-
Kodba S, Perc M and Marhl M 2005 Detecting chaos from a time series Eur. J. Phys. 26 205-15
-
(2005)
Eur. J. Phys.
, vol.26
, Issue.1
, pp. 205-215
-
-
Kodba, S.1
Perc, M.2
Marhl, M.3
-
25
-
-
0001373630
-
Extremely simple nonlinear noise reduction method
-
Schreiber T 1993 Extremely simple nonlinear noise reduction method Phys. Rev. E 47 2401-4
-
(1993)
Phys. Rev.
, vol.47
, Issue.4
, pp. 2401-2404
-
-
Schreiber, T.1
-
26
-
-
34548696055
-
Independent coordinates for strange attractors from mutual information
-
Fraser A M and Swinney H L 1986 Independent coordinates for strange attractors from mutual information Phys. Rev. A 33 1134-40
-
(1986)
Phys. Rev.
, vol.33
, Issue.2
, pp. 1134-1140
-
-
Fraser, A.M.1
Swinney, H.L.2
-
27
-
-
35949006791
-
Determining embedding dimension for phase space reconstruction using a geometrical construction
-
Kennel M B, Brown R and Abarbanel H D I 1992 Determining embedding dimension for phase space reconstruction using a geometrical construction Phys. Rev. A 45 3403-11
-
(1992)
Phys. Rev.
, vol.45
, Issue.6
, pp. 3403-3411
-
-
Kennel, M.B.1
Brown, R.2
Abarbanel, H.D.I.3
-
28
-
-
11944266815
-
Direct test for determinism in a time series
-
Kaplan D T and Glass L 1992 Direct test for determinism in a time series Phys. Rev. Lett. 68 427-30
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.4
, pp. 427-430
-
-
Kaplan, D.T.1
Glass, L.2
-
29
-
-
0000828959
-
Detecting and analyzing nonstationarity in a time series with nonlinear cross-predictions
-
Schreiber T 1997 Detecting and analyzing nonstationarity in a time series with nonlinear cross-predictions Phys. Rev. Lett. 78 843-6
-
(1997)
Phys. Rev. Lett.
, vol.78
, Issue.5
, pp. 843-846
-
-
Schreiber, T.1
-
31
-
-
0011806774
-
Recovering smooth dynamics from time series with the aid of recurrence plots
-
Atay F M and Altintas Y 1999 Recovering smooth dynamics from time series with the aid of recurrence plots Phys. Rev. E 59 6593-8
-
(1999)
Phys. Rev.
, vol.59
, Issue.6
, pp. 6593-6598
-
-
Atay, F.M.1
Altintas, Y.2
-
32
-
-
22244479670
-
Stationarity and nonstationarity in time series analysis
-
Manuca R and Savit R 1996 Stationarity and nonstationarity in time series analysis Physica D 99 134-61
-
(1996)
Physica
, vol.99
, Issue.2-3
, pp. 134-161
-
-
Manuca, R.1
Savit, R.2
-
33
-
-
0038542168
-
Noise-level estimation of time series using coarse-grained entropy
-
Urbanowicz K and Holyst J A 2003 Noise-level estimation of time series using coarse-grained entropy Phys. Rev. E 67 046218
-
(2003)
Phys. Rev.
, vol.67
, Issue.4
, pp. 046218
-
-
Urbanowicz, K.1
Holyst, J.A.2
-
34
-
-
0000688735
-
Embeddings and delays as derived from quantification of recurrence plots
-
Zbilut J P and Webber C L Jr 1992 Embeddings and delays as derived from quantification of recurrence plots Phys. Lett. A 171 199-203
-
(1992)
Phys. Lett.
, vol.171
, Issue.3-4
, pp. 199-203
-
-
Zbilut, J.P.1
Webber Jr., C.L.2
-
35
-
-
0001870258
-
A robust method to estimate the maximal Lyapunov exponent of a time series
-
Kantz H 1994 A robust method to estimate the maximal Lyapunov exponent of a time series Phys. Lett. A 185 77-87
-
(1994)
Phys. Lett.
, vol.185
, Issue.1
, pp. 77-87
-
-
Kantz, H.1
-
36
-
-
85178855220
-
-
All results presented in this paper can be easily reproduced with the set of programs that can be downloaded from http://fizika.uni-mb.si/∼matjaz/ ejp/time.html
-
-
-
-
37
-
-
14844283547
-
PhysioBank, PhysioToolkit, and PhysioNet: Components of a new research resource for complex physiologic signals
-
Goldberger A L, Amaral L A N, Glass L, Hausdorff J M, Ivanov P Ch, Mark R G, Mietus J E, Moody G B, Peng C K and Stanley H E 2000 PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals Circulation 101 e215-20 (Circulation Electronic Pages: http://circ.ahajournals.org/cgi/content/full/101/23/e215)
-
(2000)
Circulation
, vol.101
-
-
Goldberger, A.L.1
Amaral, L.A.N.2
Glass, L.3
Hausdorff, J.M.4
Ch, I.P.5
Mark, R.G.6
Mietus, J.E.7
Moody, G.B.8
Peng, C.K.9
Stanley, H.E.10
-
38
-
-
0009520409
-
Strange attractors, chaotic behavior, and information flow
-
Shaw R 1981 Strange attractors, chaotic behavior, and information flow Z. Naturforsch. 36a 80-112
-
(1981)
Z. Naturforsch.
, vol.36
, pp. 80-112
-
-
Shaw, R.1
-
39
-
-
0036940923
-
Noise and determinism in cardiovascular dynamics
-
McClintock P V E and Stefanovska A 2002 Noise and determinism in cardiovascular dynamics Physica A 314 69-76
-
(2002)
Physica
, vol.314
, Issue.1-4
, pp. 69-76
-
-
McClintock, P.V.E.1
Stefanovska, A.2
-
40
-
-
0002904424
-
An improved method for estimating Lyapunov exponents of chaotic time series
-
Briggs K 1990 An improved method for estimating Lyapunov exponents of chaotic time series Phys. Lett. A 151 27-32
-
(1990)
Phys. Lett.
, vol.151
, Issue.1-2
, pp. 27-32
-
-
Briggs, K.1
-
42
-
-
0000905883
-
Identification of true and spurious Lyapunov exponents from time series
-
Parlitz U 1992 Identification of true and spurious Lyapunov exponents from time series Int. J. Bifurcat. Chaos 2 155-65
-
(1992)
Int. J. Bifurcat. Chaos
, vol.2
, Issue.1
, pp. 155-165
-
-
Parlitz, U.1
-
43
-
-
33646981873
-
Characterization of strange attractors
-
Grassberger P and Procaccia I 1983 Characterization of strange attractors Phys. Rev. Lett. 50 346-9
-
(1983)
Phys. Rev. Lett.
, vol.50
, Issue.5
, pp. 346-349
-
-
Grassberger, P.1
Procaccia, I.2
-
44
-
-
0001413326
-
Spurious dimension from correlation algorithms applied to limited time-series data
-
Theiler J 1986 Spurious dimension from correlation algorithms applied to limited time-series data Phys. Rev. A 34 2427-32
-
(1986)
Phys. Rev.
, vol.34
, Issue.3
, pp. 2427-2432
-
-
Theiler, J.1
-
45
-
-
0001554852
-
Dimension estimates and physiological data
-
Kantz H and Schreiber T 1994 Dimension estimates and physiological data Chaos 5 143-54
-
(1994)
Chaos
, vol.5
, Issue.1
, pp. 143-154
-
-
Kantz, H.1
Schreiber, T.2
-
47
-
-
33645206470
-
-
Marwan N 2003 Encounters with neighbours-current developments of concepts based on recurrence plots and their applications PhD Thesis University of Potsdam
-
(2003)
PhD Thesis
-
-
Marwan, N.1
-
50
-
-
0000628734
-
Smoothness implies determinism: A method to detect it in time series
-
Salvino L W and Cawley R 1994 Smoothness implies determinism: a method to detect it in time series Phys. Rev. Lett. 73 1091-4
-
(1994)
Phys. Rev. Lett.
, vol.73
, Issue.8
, pp. 1091-1094
-
-
Salvino, L.W.1
Cawley, R.2
-
51
-
-
43949166788
-
A practical method for calculating largest Lyapunov exponents from small data sets
-
Rosenstein M T, Collins J J and De Luca C J 1993 A practical method for calculating largest Lyapunov exponents from small data sets Physica D 65 117-34
-
(1993)
Physica
, vol.65
, Issue.1-2
, pp. 117-134
-
-
Rosenstein, M.T.1
Collins, J.J.2
De Luca, C.J.3
-
52
-
-
0032207655
-
The human ECG-nonlinear deterministic versus stochastic aspects
-
Kantz H and Schreiber T 2002 The human ECG-nonlinear deterministic versus stochastic aspects IEE Proc. Sci. Meas. Technol. 145 279-84
-
(2002)
IEE Proc. Sci. Meas. Technol.
, vol.145
, Issue.6
, pp. 279-284
-
-
Kantz, H.1
Schreiber, T.2
-
53
-
-
0025039440
-
Is fibrillation chaos?
-
Kaplan D T and Cohen R J 1990 Is fibrillation chaos? Circ. Res. 67 886-92
-
(1990)
Circ. Res.
, vol.67
, pp. 886-892
-
-
Kaplan, D.T.1
Cohen, R.J.2
-
54
-
-
0026150042
-
Is the normal heartbeat chaotic or homeostatic?
-
Goldberger A L 1991 Is the normal heartbeat chaotic or homeostatic? News Physiol. Sci. 6 87-91
-
(1991)
News Physiol. Sci.
, vol.6
, pp. 87-91
-
-
Goldberger, A.L.1
-
56
-
-
0032170932
-
Wavelet based analysis of the human blood flow dynamics
-
Bračič M and Stefanovska A 1998 Wavelet based analysis of the human blood flow dynamics Bull. Math. Biol. 60 919-35
-
(1998)
Bull. Math. Biol.
, vol.60
, Issue.5
, pp. 919-935
-
-
Bračič, M.1
Stefanovska, A.2
-
58
-
-
85178869811
-
-
The official web page of the TISEAN project is www.mpipks-dresden.mpg.de/ ∼tisean
-
-
-
-
59
-
-
0000810560
-
Practical implementation of nonlinear time series methods: The TISEAN package
-
Hegger R and Kantz H 1999 Practical implementation of nonlinear time series methods: the TISEAN package Chaos 9 413-40
-
(1999)
Chaos
, vol.9
, Issue.2
, pp. 413-440
-
-
Hegger, R.1
Kantz, H.2
|