Publications in International Journals

    1
    W. Ebeling, H. Herzel, and E. E. Selkov.
    The influence of noise on an oscillating glycolytic model.
    studia biophysica, 98, 147-154 (1983).

    2
    W. Ebeling, H. Herzel, and H. Engel-Herbert.
    On the entropy of dissipative structures.
    Z. phys. Chem., 266, 253-256 (1985).

    3
    H. Herzel and W. Ebeling.
    The decay of correlations in chaotic maps.
    Phys. Lett. A, 111, 1-4 (1985).

    4
    J. Kurths and H. Herzel.
    Can a solar pulsation event be characterized by a low-dimensional chaotic attractor?
    Solar Physics, 107, 39-45 (1986).

    5
    W. Ebeling, H. Herzel, W. Richert, and L. Schimansky-Geier.
    Influence of noise on Duffing - van der Pol oscillators.
    Z. Angew. Math. Mech., 66, 141-146 (1986).

    6
    W. Ebeling, H. Engel-Herbert, and H. Herzel.
    On the entropy of dissipative and turbulent structures.
    Ann. der Physik, 43, 187-195 (1986).

    7
    Th. Schulmeister and H. Herzel.
    Chaos in forced Selkov systems.
    Z. Angew. Math. Mech., 66, 375-378 (1986).

    8
    J. Kurths and H. Herzel.
    An attractor in a solar time series.
    Physica D, 25, 165-172 (1987).

    9
    H. Herzel and Th. Schulmeister.
    Quantitative description of chaos in a biochemical model.
    Sys. Anal. Mod. Sim., 4, 113-124 (1987).

    10
    H. Herzel, W. Ebeling, and Th. Schulmeister.
    Nonuniform chaotic dynamics and effects of noise in biochemical systems.
    Zeitschr. Naturf., 42a, 136-142 (1987).

    11
    H. Herzel and B. Pompe.
    Effects of noise on a nonuniform chaotic map.
    Phys. Lett. A, 122, 121-125 (1987).

    12
    W. Ebeling, R. Feistel, and H. Herzel.
    Dynamics and complexity of biomolecules.
    Physica Scripta, 35, 761-768 (1987).

    13
    A.S. Anishchenko and H. Herzel.
    Noise-induced chaos in a system with homoclinic points.
    Z. Angew. Math. Mech., 68, 317-318 (1988).

    14
    H. Herzel.
    Complexity of symbol sequences.
    Sys. Anal. Mod. Sim., 5, 435-444 (1988).

    15
    H. Herzel.
    Stabilization of chaotic orbits by random noise.
    Z. Angew. Math. Mech., 68, 582-583 (1988).

    16
    H. Herzel and W. Ebeling.
    Effects of noise and inhomogeneous attractors in biochemical systems.
    Biomed. Biochem. Acta, 49, 941-949 (1990).

    17
    W. Mende, H. Herzel, and K. Wermke.
    Bifurcations and chaos in newborn infant cries.
    Phys. Lett. A, 145, 418-424 (1990).

    18
    H. Herzel, P. Plath, and P. Svensson.
    Experimental evidence of homoclinic chaos and type II intermittency during the oxidation of methanol.
    Physica D, 48, 340-352 (1991).

    19
    M. Göber, H. Herzel, and H. Graf.
    Dimension-analysis of El Nino-Southern Oscillation time series.
    Ann. Geophys., 10, 729-734 (1992).

    20
    H. Herzel.
    Bifurcations and chaos in voice signals.
    Appl. Mech. Rev.. 46, 399-413 (1993).

    21
    L. Schimansky-Geier and H. Herzel.
    Positive Lyapunov-exponents in the Kramers- oscillator.
    J. Stat. Phys., 70, 141-147 (1993).

    22
    A. Schmitt, H. Herzel, and W. Ebeling.
    A new method to calculate higher-order entropies from finite samples.
    Europhys. Lett., 23, 303-309 (1993).

    23
    H. Herzel, D. Berry, I. Titze, and M. Saleh.
    Analysis of vocal disorders with methods from nonlinear dynamics.
    J. Speech Hearing Research, 37, 1008-1019 (1994).

    24
    H. Herzel, A. Schmitt, and W. Ebeling.
    Finite sample effects in sequence analysis.
    Chaos, Solitons, and Fractals, 4, 97-113 (1994).

    25
    D. A. Berry, H. Herzel, I. R. Titze, and K. Krischer.
    Interpretation of biomechanical simulations of normal and chaotic vocal fold oscillations with empirical eigenfunctions.
    J. Acoust. Soc. Am., 95, 3595-3604 (1994).

    26
    O. Hess, D. Merbach, H. Herzel, and E. Schöll.
    Bifurcations of a 3-torus in twin-stripe semiconductor lasers.
    Phys. Lett. A, 195, 289-294 (1994).

    27
    H. Herzel, W. Ebeling, and A. O. Schmitt.
    Entropies of biosequences - the role of repeats.
    Phys. Rev. E, 50, 5061-5071 (1994).

    28
    M. M. Hess, M. Gross, and H. Herzel.
    Hochgeschwindigkeitsaufnahmen von Schwingungsmoden der Stimmlippen.
    Otorhinolaryngologia NOVA, 4, 307-312 (1994).

    29
    H. Herzel and C. Knudsen.
    Bifurcations in a vocal fold model.
    Nonlinear Dynamics, 7, 53-64 (1995).

    30
    I. Steinecke and H. Herzel.
    Bifurcations in an asymmetric vocal fold model.
    J. Acoust. Soc. Am., 97, 1874-1884 (1995).

    31
    H. Herzel, D. Berry, I. Titze, and I. Steinecke.
    Nonlinear Dynamics of the Voice: Signal Analysis and Biomechanical Modeling.
    CHAOS, 5, 30-34 (1995).

    32
    H. Herzel and I. Große.
    Measuring correlations in symbolic sequences.
    Physica A, 216, 518-542 (1995).

    33
    D. Merbach, O. Hess, H. Herzel, and E. Schöll.
    Injection-induced bifurcations of transverse spatio-temporal patterns in semiconductor laser arrays.
    Phys. Rev. E, 52, 1571-1578 (1995).

    34
    H. Herzel and J. Freund.
    Chaos, noise, and synchronization reconsidered.
    Phys. Rev. E 52, 3238-3241 (1995).

    35
    J. Freund and H. Herzel.
    The limit entropy for sequences constructed from composites.
    Chaos, Solitons, and Fractals, 7, 49-60 (1996).

    36
    A. O. Schmitt, W. Ebeling, and H. Herzel.
    The modular structure of informational sequences.
    BioSystems, 37, 199-210 (1996).

    37
    J. C. Crepeau and H. Herzel.
    Comparison of Spectral Entropy with Statistical Entropy in Selected Physical Systems.
    J. Non-Equilib. Thermodyn., 21, 169-174 (1996).

    38
    D. Berry, H. Herzel, I. Titze, and B. Story.
    Bifurcations in excised larynx experiments.
    J. of Voice, 10, 129-138 (1996).

    39
    M. M. Hess, H. Herzel, O. Köster, F. Scheurich und M. Gross.
    Endoskopische Darstellung von Stimmlippenschwingungen: Digitale Hochgeschwindigkeitsaufnahmen mit verschiedenen Systemen.
    HNO, 44, 685-693 (1996).

    40
    H. Seidel, H. Herzel, and D. L. Eckberg.
    Phase Dependences of the Human Baroreflex.
    Am. J. Physiol., 41, H 2040-2053 (1997).

    41
    H. Herzel and I. Große.
    Correlations in DNA Sequences - the Role of Protein Coding Segments.
    Phys. Rev. E, 55, 800-810 (1997).

    42
    M. Tigges, P. Mergell, H. Herzel, Th. Wittenberg, and U. Eysholdt.
    Observation and Modelling of Glottal Biphonation.
    Acustica, 83, 707-714 (1997).

    43
    H. Herzel and R. Reuter.
    Whistle Register and Biphonation in a Child`s Voice.
    Folia phoniatrica, 49, 216-224 (1997).

    44
    J. Arndt, H. Herzel, S. Bose, M. Falcke, and E. Schöll.
    Quantification of Transients using Empirical Orthogonal Functions.
    Chaos, Solit. & Fractals, 8, 1911-1920 (1997).

    45
    P. Mergell and H. Herzel.
    Modelling Biphonation - The Role of the Vocal Tract.
    Speech Communication, 22, 141-154 (1997).

    46
    A. O. Schmitt and H. Herzel.
    Estimating the Entropy of DNA Sequences.
    J. theor. Biol., 188, 369-377 (1997).

    47
    O. Weiss and H. Herzel.
    Measuring Correlations in Protein Sequences.
    Z. Phys. Chem., 204, 183-197 (1998).

    48
    I. Wilden, H. Herzel, G. Peters, and G. Tembrock.
    Subharmonics, Biphonation, and Deterministic Chaos in Mammal Vocalization.
    Bioacoustics, 9 (1998).

    49
    H. Seidel and H. Herzel.
    Bifurcations in a Nonlinear Model of the Baroreceptor-Cardiac Reflex.
    Physica D, 115, 145-160 (1998).

    50
    O. Weiss and H. Herzel.
    Correlations in Protein Sequences and Property Codes.
    J. theor. Biol., 190, 341-353 (1998).

    51
    H. Herzel, E. N. Trifonov, O. Weiss, and I. Große.
    Interpreting Correlations in Biosequences.
    Physica A, 249, 449-459 (1998).

    52
    D. Holste, H. Herzel, and I. Große.
    Bayes Estimators of Generalized Entropies.
    J. Phys. A, 31, 20551-20566 (1998).

    53
    P. Mergell, H. Herzel, Th. Wittenberg, M. Tigges, and U. Eysholdt.
    Phonation Onset: Modelling and High Speed Glottography.
    J. Acoust. Soc. Am., 104, 464-470 (1998).

    54
    D. Hoyer, B. Pompe, H. Herzel, and U. Zwiener.
    Nonlinear Coordination of the Cardiovascular Autonomic Control.
    IEEE Eng. Med. Biol., 17, 17-21 (1998).

    55
    H. Herzel.
    How to quantify `small-world networks' ?.
    Fractals, 6, 301-303 (1998).

    56
    H. Seidel and H. Herzel.
    Analyzing Entrainment of Heartbeat and Respiration with Surrogates.
    IEEE Eng. Med. Biol., 17, 54-57 (1998).

    57
    H. Seidel and H. Herzel.
    Modeling Wenckebach Rhythms and the Influence of the Baroreceptor-Cardiac Reflex.
    IEEE Eng. Med. Biol., 17, 22-25 (1998).

    58
    H. Herzel, O. Weiss, and E. N. Trifonov.
    Sequence Periodicity in Complete Genomes of Archaea Suggests Positive Supercoiling.
    J. Biol. Struc. Dyn., 16, 341-345 (1998).

    59
    H. Herzel.
    Nonlinear Dynamics of the Voice: Time Series Analysis, Modeling, and Experiments.
    Curr. Topics Acoust. Res., 2, 17-30 (1998).

    60
    R. Reuter, H. Herzel, and R. Orgelmeister.
    Simulations of Vocal Fold Vibrations with an Analog Circuit.
    Int. J. Bifurc. & Chaos, 9(6), (1999).

    61
    P. Mergell, W. T. Fitch, and H. Herzel.
    Modeling the Role of Non-Human Vocal Membranes on Phonation.
    J. Acoust. Soc. Am., 105, 2020-2028 (1999).

    62
    H. Herzel, O. Weiss, and E. N. Trifonov.
    10-11 bp Periodicities in Complete Genomes Reflect Protein Structure and DNA Folding.
    Bioinformatics, 15, 187-193 (1999).

    63
    H. Herzel and R. Reuter.
    Quantifying Correlations in Pitch- and Amplitude Contours of Sustained Phonation.
    Acustica \& Acta Acustica, 86, 129-135 (2000).

    64
    I. Grosse, H. Herzel, S. V. Buldyrev, H. E. Stanley.
    Species Independence of Mutual Information in Coding and Noncoding DNA.
    Phys. Rev. E, 61, 5624-5629 (2000).

    65
    T. Riede, H. Herzel, D. Mehwald, W. Seidner, E. Trumler, G. Böhme, and G.~Tembrock.
    Nonlinear Phenomena in the Natural Howling of a Dog-Wolf Breed.
    J. Acoust. Soc. Am., 108, 1435-1442 (2000).

    66
    J. Schuchhardt, D. Beule, A. Malik, E. Wolski, H. Eickhoff, H. Lehrach, and H. Herzel.
    Normalization Strategies for cDNA-Arrays.
    Nucl. Acids Res., 28, e47 (2000).

    67
    O. Weiss, M. Jimenez-Montano, H. Herzel.
    Information content of protein sequences.
    J. theor. Biol., 206, 379-386 (2000).

    68
    D. Holste, O. Weiss, I. Große, and H. Herzel.
    Are non--coding sequences of Rickettsia prowazekii remnants of "neutralized" genes ?
    J. Mol. Evol., 51, 353--362 (2000).

    69
    D. Holste, I. Große, S. V. Buldyrev, H. E. Stanley, H.Herzel.
    Optimization of Protein Coding Measures using Positional Dependence of Nucleotide Frequencies.
    J. theor. Biol., 206, 525-537 (2000).

    70
    P. Mergell, H. Herzel, and I. R. Titze.
    Irregular Vocal Fold Vibration - High-Speed Observation and Modeling.
    J. Acoust. Soc. Am., 108, 2996-3002 (2000).

    71
    D. Holste, I. Große, and H. Herzel.
    Entropy Estimation from Finite Data Samples.
    InterJournal, 267 (2000).

    72
    H. Herzel, D. Beule, S. Kielbasa, J. Korbel, C. Sers,
    A. Malik, H. Eickhoff, H. Lehrach, and J. Schuchhardt.
    Extracting Information from cDNA Arrays.
    CHAOS, 11 (2001).
    back to my homepage

    Hanspeter Herzel
    Thu Nov 30 14:30:06 MET DST 2000