Nichtlineare Methoden zur Quantifizierung von Abhängigkeiten und ...

Nichtlineare Methoden zur Quantifizierung von Abhängigkeiten und ... Nichtlineare Methoden zur Quantifizierung von Abhängigkeiten und ...

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120 LITERATURVERZEICHNIS [Palus (1996a)] M. Palus, “Detecting nonlinearity in multivariate time series”, Phys. Lett. A 213, 138-147 (1996). [Palus (1996b)] M. Palus, “Coarse-grained entropy rates for characterization of complex time series”, Physica D 93, 64-77 (1996). [Pikovsky et al.(2001)] A.S. Pikovsky & M.G. Rosenblum & J. Kurths, Synchronization, Cambridge University Press, Cambridge (2001). [Pinto et al. (2000)] R.D. Pinto & P. Varona & A.R. Volkovskii & A. Szücs & H.D.I. Abarbanel & M.I. Rabinovich, “Synchronous behavior of two coupled electronic neurons”, Phys. Rev. E 62, 2644-2656 (2000). [Pollicott & Yuri (1998)] M. Pollicott & M. Yuri, Dynamical Systems and Ergodic Theory, Cambridge University Press, Cambridge (1998). [Pompe (1993)] B. Pompe, “Measuring Statistical Dependences in Time Series”, J. Stat. Phys. 73, 587-610 (1993). [Porta et. al. (1999)] A. Porta, G. Baselli, F. Lombardi, N. Montano, A. Malliani, S. Cerutti, “Conditional entropy approach for the evaluation of the coupling strength”, Biol. Cybern. 81, 119-129 (1999). [Prichard & Theiler (1995)] D. Prichard & J. Theiler, “Generalized redundancies for time series analysis”, Physica D 84, 476-493 (1995). [Quian Quiroga et al. (2000)] R. Quian Quiroga & J. Arnhold & P. Grassberger, “Lerning driver-response relationships from synchronization patterns”, Phys. Rev. E 61, 5142-5148 (2000). [Le Van Quyen et al. (1999)] M. Le Van Quyen & J. Martinerie & C. Adam & F.J. Varela, “Nonlinear analyses of interictal EEG map the brain interdependences in human focal epilepsy”, Physica D 127, 250-266 (1999). [Reitmann (1996)] V. Reitmann, Reguläre und chaotische Dynamik, B.G. Teubner, Stuttgart (1996). [Riehle et al. (1997)] A. Riehle & S. Grün & M. Diesmann & A. Aertsen, “Spike Synchronization and rate modulation differentially involved in motor cortical function”, Science 278, 1950-1953 (1997). [La Rosa et al. (2000)] M. La Rosa, M.I. Rabinovich, R. Huerta, H.D.I. Abarbanel, L. Fortuna, “Slow regularization through chaotic oscillation transfer in an unidirectional chain of Hindmarsh-Rose models”, Phys. Lett. A 266, 88-93 (2000).

LITERATURVERZEICHNIS 121 [Rosenblum et al. (1996)] M.G. Rosenblum & A.S. Pikovsky & J. Kurths, “Phase synchronization of chaotic oscillators”, Phys. Rev. Lett. 76, 1804-1807 (1996). [Rosenblum & Pikovsky (2001)] M.G. Rosenblum & A.S. Pikovsky, “Detecting direction of coupling in interacting oscillators”, Phys. Rev. E 64, 045202(R) (2001). [Roulston (1997)] M.S. Roulston, “Significance testing of information theoretic functionals”, Physica D 110, 62-66 (1997). [Roulston (1999)] M.S. Roulston, “Estimating the errors on measured entropy and mutual information”, Physica D 125, 285-294 (1999). [Ruelle (1989)] D. Ruelle, Chaotic Evolution and Strange Attractors, Cambridge University Press, New York (1989). [Rulkov et al. (1995)] N.F. Rulkov & M.M. Sushchik & L.S. Tsimring & H.D.I. Abarbanel, “Generalized synchronization of chaos in directionally coupled chaotic systems”, Phys. Rev. E 51, 980-994 (1995). [Sauer et al. (1991)] T. Sauer & J.A. Yorke & M. Casdagli, “Embedology”, J. Stat. Phys. 65, 579-616 (1991). [Schiff et al. (1996)] S.J. Schiff & P. So & T. Chang & R.E. Burke & T. Sauer, “Detecting dynamical interdependence and generalized synchrony through mutual prediction in neural ensemble”, Phys. Rev. E 54, 6708-6724 (1996). [Schreiber (1990)] T. Schreiber, “Spatio-temporal structure in coupled map lattices: two-point correlation versus mutual information” J. Phys. A 23, L393 (1990). [Schreiber & Schmitz (2000a)] T. Schreiber & A. Schmitz, “Surrogate time series”, Physica D 142, 346-382 (2000). [Schreiber (2000b)] T. Schreiber, “Measuring information transfer”, Phys. Rev. Lett. 85, 461-464 (2000). [Schuster (1989)] H.G. Schuster, Deterministic Chaos An Introduction, VCH Verlagsgesellschaft, Weinheim (1989). [Shannon & Weaver (1949)] C.E. Shannon, W. Weaver, The mathematical theory of information, University of Illinois Press, Urbana IL (1949). [Silverman (1986)] B.W. Silverman, Density Estimation for Statistics and Data Analysis, Monographs on statistics and applied probability Vol 26, Chapman and Hall, London (1986).

LITERATURVERZEICHNIS 121<br />

[Rosenblum et al. (1996)] M.G. Rosenblum & A.S. Pikovsky & J. Kurths, “Phase<br />

synchronization of chaotic oscillators”, Phys. Rev. Lett. 76, 1804-1807<br />

(1996).<br />

[Rosenblum & Pikovsky (2001)] M.G. Rosenblum & A.S. Pikovsky, “Detecting<br />

direction of coupling in interacting oscillators”, Phys. Rev. E 64, 045202(R)<br />

(2001).<br />

[Roulston (1997)] M.S. Roulston, “Significance testing of information theoretic<br />

functionals”, Physica D 110, 62-66 (1997).<br />

[Roulston (1999)] M.S. Roulston, “Estimating the errors on measured entropy<br />

and mutual information”, Physica D 125, 285-294 (1999).<br />

[Ruelle (1989)] D. Ruelle, Chaotic Evolution and Strange Attractors, Cambridge<br />

University Press, New York (1989).<br />

[Rulkov et al. (1995)] N.F. Rulkov & M.M. Sushchik & L.S. Tsimring & H.D.I.<br />

Abarbanel, “Generalized synchronization of chaos in directionally coupled<br />

chaotic systems”, Phys. Rev. E 51, 980-994 (1995).<br />

[Sauer et al. (1991)] T. Sauer & J.A. Yorke & M. Casdagli, “Embedology”, J.<br />

Stat. Phys. 65, 579-616 (1991).<br />

[Schiff et al. (1996)] S.J. Schiff & P. So & T. Chang & R.E. Burke & T. Sauer,<br />

“Detecting dynamical interdependence and generalized synchrony through<br />

mutual prediction in neural ensemble”, Phys. Rev. E 54, 6708-6724 (1996).<br />

[Schreiber (1990)] T. Schreiber, “Spatio-temporal structure in coupled map lattices:<br />

two-point correlation versus mutual information” J. Phys. A 23, L393<br />

(1990).<br />

[Schreiber & Schmitz (2000a)] T. Schreiber & A. Schmitz, “Surrogate time series”,<br />

Physica D 142, 346-382 (2000).<br />

[Schreiber (2000b)] T. Schreiber, “Measuring information transfer”, Phys. Rev.<br />

Lett. 85, 461-464 (2000).<br />

[Schuster (1989)] H.G. Schuster, Deterministic Chaos An Introduction, VCH Verlagsgesellschaft,<br />

Weinheim (1989).<br />

[Shannon & Weaver (1949)] C.E. Shannon, W. Weaver, The mathematical theory<br />

of information, University of Illinois Press, Urbana IL (1949).<br />

[Silverman (1986)] B.W. Silverman, Density Estimation for Statistics and Data<br />

Analysis, Monographs on statistics and applied probability Vol 26, Chapman<br />

and Hall, London (1986).

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