Literatur

1

Henry D. I. Abarbanel.
Analysis of Observed Chaotic Data.
Springer-Verlag Inc., New-York, 1996.
UB 96A201, BLB 96A2298.

2

Gregory L. Barker and Jerry P. Gollub.
Chaotic dynamics - an introduction.
Cambridge University Press, Cambridge, 1990.
UB 90A2805.

3

Michael Barnsley.
Fractals Everywhere.
Academic Press, Inc., San Diego, 1988.
UB 89A1574.

4

William A. Brock, David A. Hsieh, and Blake LeBaron.
Nonlinear Dynamics, Chaos, and Instability - Statistical Theory and Economic Evidence.
MIT Press, Cambridge, 1991.
UB 92A4687.

5

I. N. Bronstein and K. A. Semendjajew.
Taschenbuch der Mathematik.
B.G. Teubner, Stuttagrt, 25 edition, 1991.

6

Reggier Brown, Paul Bryant, and Henry D. I. Abarbanel.
Computing the lyapunov spectrum of a dynamical system from an observed time series.
Physical Review - Section E, 43(6):2787-2806, 1991.
FBPZE4831.

7

Th. Buzug and G. Pfister.
Comparison of algorithms calculating optimal embedding parameters for delay time coordinates.
Physica D, 58:127-137, 1992.
FBP163:D.

8

Th. Buzug and G. Pfister.
Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and dynamical behaviour of strange attractors.
Physical Review - Section A, 45(10):7073-7084, 1992.

9

Th. Buzug, T. Reimers, and G. Pfister.
Optimal reconstruction of strange attractors from purely geometrical arguments.
Europhysics Letters, 7(13):605-610, 1990.

10

Jr. Charles L. Webber and Joseph P. Zbilut.
Dynamical assessment of physiological systems and states using recurrence plot strategies.
Journal for Applied Physiology, 76(2):965-973, 1994.

11

A. Dold and B. Eckmann, editors.
Dynamical Systems and Turbulence, volume 898 of Lecture Notes in Mathematics, Berlin, 1980. Springer Verlag.
UB 81A4340.

12

J.-P. Eckmann, S. Oliffson Kamphorst, and D. Ruelle.
Recurrence plots of dynamical systems.
Europhysics Letters, 4(9):973-977, 1987.

13

J.-P. Eckmann and D. Ruelle.
Fundamental limitations for estimating dimensions and lyapunov exponents in dynamical systems.
Physica - section D, 56:185-187, 1992.
FBPZA163:D.

14

G. Engeln-Müllges and Fritz Reuter.
Numerik-Algorithmen mit ANSI-C Programmen.
BI-Wissenschafts-Verlag, Mannheim, 1993.
UB 93A4177.

15

M. Frank, G. Keller, and R. Sporer.
Practical implementation of error estimation for the correlation dimension.
Physical Review - Section E, 53(6):5831-5836, 1996.
FBPZE4831.

16

Andrew M. Fraser.
Information and entropy in strange attractors.
IEEE Transactions on Information Theory, 35(2):245-262, 1989.

17

Andrew M. Fraser and Harry L. Swinney.
Independent coordinates for strange attractors from mutual information.
Physical Review A, 33(2):1134-1140, 1986.
FBP4831.

18

Leon Glass, Peter Hunter, and Andrew McCulloch, editors.
Theory of Heart : Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function.
Springer-Verlag, New York, 1991.
BLB 91A15641 UB 97A2477.

19

Peter Grassberger.
Generalized dimensions of strange attrctors.
Physics Letters - Section A, 97(6):227-230, 1983.
FBPZE3245:A.

20

Peter Grassberger and Itamar Procaccia.
Characterization of strange attractors.
Physical Review Leters, 50(5), 1983.

21

Peter Grassberger and Itamar Procaccia.
Measuring the strangeness of strange attractors.
Physica - Section D, 9:189-208, 1983.

22

Joachim Holzfuss.
Zur Messung von fraktalen Dimensionen und Lyapunov-Spektren nichtlinearer dynamischer Systeme am Beipiel akustisch erzeugter Kavitationsblasenfelder.
PhD thesis, Uni Göttingen, 1987.
UB 88DA3014.

23

W. Huang, W. X. Ding, D. L. Feng, and C. X. Yu.
Estimation of lyapunov-exponent spectrum of plasma chaos.
Physical Review - Section E, 50(2):1062-1069, 1994.
FBPZE4831.

24

Daniel T. Kaplan.
Nonlinearity and nonstationarity: The use of surrogate data in interpreting fluctuations.

25

A. A. Kipchatov.
Estimate of the correlation dimension of attractors, reconstructed from data of finite accuracy and length.
Technical Physics Letters, 21(8):627-629, 1995.
FBPZE5988.

26

N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw.
Geometry from a time series.
Physical Review Letters, 45(9):712-716, 1980.

27

T.S. Parker and L.O. Chua.
Practical Numerical Algorithms for Chaotic Systems.
Springer-Verlag, New York, 1992.
BLB 92A15645, UB 80A4665.

28

Heinz-Otto Peitgen, Hartmut Jürgens, and Dietmar Saupe.
Bausteine des Chaos - Fraktale.
Springer-Verlag, Berlin, 1992.
BLB 92A19166, UB 92A5211.

29

Heinz-Otto Peitgen, Hartmut Jürgens, and Dietmar Saupe.
Chaos - Bausteine der Ordnung.
Springer-Verlag Inc., Klett-Cotta, New York, 1992.
BLB 94A7297, UB 94A692.

30

D. V. Pisarenko and V. F. Pisarenko.
Statistical estimation of the correlation dimension.
Physics Letters A, 197:31-39, 1995.
FBP.

31

M. Sano and Y. Sawada.
Measurement of the lyapunov spectrum from a chaotic time serie.
Physical Review Letters, 55(10):1082-1085, 1985.

32

Leonard A. Smith.
Identification and prediction of low dimensional dynamics.
Physica D, 58:50-76, 1992.
FBP163:D.

33

Willi-Hans Steeb.
A Handbook of Terms Used in Chaos and Quantum Chaos.
BI-Wissenschafts Verlag, Mannheim, 1991.
BLB 91A11126.

34

James Theiler.
Efficient algorithm for estimating the correlation dimension from a set of discrete points.
Physical Review - Section A, 36(9):4456-4462, 1987.
FBPZE4831.

35

James Theiler, Stephen Eubank, André Longtin, Bryan Galdrikian, and J. Doyne Farmer.
Testing for nonlinearity in time series: the method of surrogate data.
Physica D, 58:77-94, 1992.

36

Eran Toledo, Sivan Toledo, Yael Almog, and Solange Akselrod.
A vectorized algorithm for correlation dimension estimation.
Physics Letters A, 229:375-378, 1997.
FBP.

37

C. D. wagner and P. B. Persson.
Nonlinear chaotic dynamics of aterial blood pressure and renal blood flow.
American Jouranl for Physiology, 268:H621-H627, 1995.

38

C.D. Wagner, B. Nafz, and P.B. Persson.
Chaos in blood pressure control.
Cardiavascular Research, 31:380-387, 1996.

39

Alan Wolf, Jack B. Swift, Harry L. Swinney, and John A. Vastano.
Determining lyapunov exponents from a time series.
Physica - Section D, 16:285-317, 1985.

40

Jon Wright.
Method for calculating a lyapunov exponent.
Physical Review - Section A, 29(5):2924-2927, 1984.
FBPZE4831.

Footnotes

...

1

Henry D. I. Abarbanel.
Analysis of Observed Chaotic Data.
Springer-Verlag Inc., New-York, 1996.
UB 96A201, BLB 96A2298.

2

Gregory L. Barker and Jerry P. Gollub.
Chaotic dynamics - an introduction.
Cambridge University Press, Cambridge, 1990.
UB 90A2805.

3

Michael Barnsley.
Fractals Everywhere.
Academic Press, Inc., San Diego, 1988.
UB 89A1574.

4

William A. Brock, David A. Hsieh, and Blake LeBaron.
Nonlinear Dynamics, Chaos, and Instability - Statistical Theory and Economic Evidence.
MIT Press, Cambridge, 1991.
UB 92A4687.

5

I. N. Bronstein and K. A. Semendjajew.
Taschenbuch der Mathematik.
B.G. Teubner, Stuttagrt, 25 edition, 1991.

6

Reggier Brown, Paul Bryant, and Henry D. I. Abarbanel.
Computing the lyapunov spectrum of a dynamical system from an observed time series.
Physical Review - Section E, 43(6):2787-2806, 1991.
FBPZE4831.

7

Th. Buzug and G. Pfister.
Comparison of algorithms calculating optimal embedding parameters for delay time coordinates.
Physica D, 58:127-137, 1992.
FBP163:D.

8

Th. Buzug and G. Pfister.
Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and dynamical behaviour of strange attractors.
Physical Review - Section A, 45(10):7073-7084, 1992.

9

Th. Buzug, T. Reimers, and G. Pfister.
Optimal reconstruction of strange attractors from purely geometrical arguments.
Europhysics Letters, 7(13):605-610, 1990.

10

Jr. Charles L. Webber and Joseph P. Zbilut.
Dynamical assessment of physiological systems and states using recurrence plot strategies.
Journal for Applied Physiology, 76(2):965-973, 1994.

11

A. Dold and B. Eckmann, editors.
Dynamical Systems and Turbulence, volume 898 of Lecture Notes in Mathematics, Berlin, 1980. Springer Verlag.
UB 81A4340.

12

J.-P. Eckmann, S. Oliffson Kamphorst, and D. Ruelle.
Recurrence plots of dynamical systems.
Europhysics Letters, 4(9):973-977, 1987.

13

J.-P. Eckmann and D. Ruelle.
Fundamental limitations for estimating dimensions and lyapunov exponents in dynamical systems.
Physica - section D, 56:185-187, 1992.
FBPZA163:D.

14

G. Engeln-Müllges and Fritz Reuter.
Numerik-Algorithmen mit ANSI-C Programmen.
BI-Wissenschafts-Verlag, Mannheim, 1993.
UB 93A4177.

15

M. Frank, G. Keller, and R. Sporer.
Practical implementation of error estimation for the correlation dimension.
Physical Review - Section E, 53(6):5831-5836, 1996.
FBPZE4831.

16

Andrew M. Fraser.
Information and entropy in strange attractors.
IEEE Transactions on Information Theory, 35(2):245-262, 1989.

17

Andrew M. Fraser and Harry L. Swinney.
Independent coordinates for strange attractors from mutual information.
Physical Review A, 33(2):1134-1140, 1986.
FBP4831.

18

Leon Glass, Peter Hunter, and Andrew McCulloch, editors.
Theory of Heart : Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function.
Springer-Verlag, New York, 1991.
BLB 91A15641 UB 97A2477.

19

Peter Grassberger.
Generalized dimensions of strange attrctors.
Physics Letters - Section A, 97(6):227-230, 1983.
FBPZE3245:A.

20

Peter Grassberger and Itamar Procaccia.
Characterization of strange attractors.
Physical Review Leters, 50(5), 1983.

21

Peter Grassberger and Itamar Procaccia.
Measuring the strangeness of strange attractors.
Physica - Section D, 9:189-208, 1983.

22

Joachim Holzfuss.
Zur Messung von fraktalen Dimensionen und Lyapunov-Spektren nichtlinearer dynamischer Systeme am Beipiel akustisch erzeugter Kavitationsblasenfelder.
PhD thesis, Uni Göttingen, 1987.
UB 88DA3014.

23

W. Huang, W. X. Ding, D. L. Feng, and C. X. Yu.
Estimation of lyapunov-exponent spectrum of plasma chaos.
Physical Review - Section E, 50(2):1062-1069, 1994.
FBPZE4831.

24

Daniel T. Kaplan.
Nonlinearity and nonstationarity: The use of surrogate data in interpreting fluctuations.

25

A. A. Kipchatov.
Estimate of the correlation dimension of attractors, reconstructed from data of finite accuracy and length.
Technical Physics Letters, 21(8):627-629, 1995.
FBPZE5988.

26

N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw.
Geometry from a time series.
Physical Review Letters, 45(9):712-716, 1980.

27

T.S. Parker and L.O. Chua.
Practical Numerical Algorithms for Chaotic Systems.
Springer-Verlag, New York, 1992.
BLB 92A15645, UB 80A4665.

28

Heinz-Otto Peitgen, Hartmut Jürgens, and Dietmar Saupe.
Bausteine des Chaos - Fraktale.
Springer-Verlag, Berlin, 1992.
BLB 92A19166, UB 92A5211.

29

Heinz-Otto Peitgen, Hartmut Jürgens, and Dietmar Saupe.
Chaos - Bausteine der Ordnung.
Springer-Verlag Inc., Klett-Cotta, New York, 1992.
BLB 94A7297, UB 94A692.

30

D. V. Pisarenko and V. F. Pisarenko.
Statistical estimation of the correlation dimension.
Physics Letters A, 197:31-39, 1995.
FBP.

31

M. Sano and Y. Sawada.
Measurement of the lyapunov spectrum from a chaotic time serie.
Physical Review Letters, 55(10):1082-1085, 1985.

32

Leonard A. Smith.
Identification and prediction of low dimensional dynamics.
Physica D, 58:50-76, 1992.
FBP163:D.

33

Willi-Hans Steeb.
A Handbook of Terms Used in Chaos and Quantum Chaos.
BI-Wissenschafts Verlag, Mannheim, 1991.
BLB 91A11126.

34

James Theiler.
Efficient algorithm for estimating the correlation dimension from a set of discrete points.
Physical Review - Section A, 36(9):4456-4462, 1987.
FBPZE4831.

35

James Theiler, Stephen Eubank, André Longtin, Bryan Galdrikian, and J. Doyne Farmer.
Testing for nonlinearity in time series: the method of surrogate data.
Physica D, 58:77-94, 1992.

36

Eran Toledo, Sivan Toledo, Yael Almog, and Solange Akselrod.
A vectorized algorithm for correlation dimension estimation.
Physics Letters A, 229:375-378, 1997.
FBP.

37

C. D. wagner and P. B. Persson.
Nonlinear chaotic dynamics of aterial blood pressure and renal blood flow.
American Jouranl for Physiology, 268:H621-H627, 1995.

38

C.D. Wagner, B. Nafz, and P.B. Persson.
Chaos in blood pressure control.
Cardiavascular Research, 31:380-387, 1996.

39

Alan Wolf, Jack B. Swift, Harry L. Swinney, and John A. Vastano.
Determining lyapunov exponents from a time series.
Physica - Section D, 16:285-317, 1985.

40

Jon Wright.
Method for calculating a lyapunov exponent.
Physical Review - Section A, 29(5):2924-2927, 1984.
FBPZE4831.

³¹

Zum schnellern Auffinden von Literatur wurden in der Liste auch die Standnummern in Karlsruher Bibliotheken aufgeführt. Dabei bedeuten die Kürzel:

BLB	Badische Landesbibliothek Karlsruhe
UB	Universitäts-Bibliothek Karlsruhe
FBP	Universität Karlsruhe Fachbibliothek Physik