@article{ScheffczykEngbertKurthsetal.1995,
  author    = {Scheffczyk, Christian and Engbert, Ralf and Kurths, J{\"u}rgen and Krampe, Ralf-Thomas and Kliegl, Reinhold},
  title     = {Nonlinear Phenomena in Polyrhythmic Hand Movements},
  isbn      = {981-02-2689-6},
  year      = {1995},
  abstract  = {In this paper we apply symbolic transformations as a visualisation technique for analysing rhythm production. It is shown that qualitative information can be extracted from the experimental data. This approach may provide new insights into the organisation of temporal order by the brain on different levels of description. A simple phenomenological model for the explanation of the observed phenomena is proposed.},
  language  = {en}
}
@article{ScheffczykEngbertKrampeetal.1996,
  author    = {Scheffczyk, Christian and Engbert, Ralf and Krampe, Ralf-Thomas and Kurths, J{\"u}rgen and Rosenblum, Michael and Zaikin, Alexei A.},
  title     = {Nonlinear Modelling of Polyrhythmic Hand Movements},
  year      = {1996},
  language  = {en}
}
@article{ScheffczykKrampeEngbertetal.1997,
  author    = {Scheffczyk, Christian and Krampe, Ralf-Thomas and Engbert, Ralf and Rosenblum, Michael and Kurths, J{\"u}rgen and Kliegl, Reinhold},
  title     = {Tempo-induced transitions in polyrhythmic hand movements},
  year      = {1997},
  abstract  = {We investigate the cognitive control in polyrhythmic hand movements as a model paradigm for bimanual coordination. Using a symbolic coding of the recorded time series, we demonstrate the existence of qualitative transitions induced by experimental manipulation of the tempo. A nonlinear model with delayed feedback control is proposed, which accounts for these dynamical transitions in terms of bifurcations resulting from variation of the external control parameter. Furthermore, it is shown that transitions can also be observed due to fluctuations in the timing control level. We conclude that the complexity of coordinated bimanual movements results from interactions between nonlinear control mechanisms with delayed feedback and stochastic timing components.},
  language  = {en}
}
@article{ZaikinRosenblumScheffczyketal.1997,
  author    = {Zaikin, Alexei A. and Rosenblum, Michael and Scheffczyk, Christian and Engbert, Ralf and Krampe, Ralf-Thomas and Kurths, J{\"u}rgen},
  title     = {Modeling qualitative changes in bimanual movements},
  year      = {1997},
  language  = {en}
}
@article{SchiekScheffczykEngbertetal.1997,
  author    = {Schiek, Michael and Scheffczyk, Christian and Engbert, Ralf and Kurths, J{\"u}rgen and Krampe, Ralf-Thomas and Kliegl, Reinhold and Drepper, Friedhelm R.},
  title     = {Symbolic dynamics of physiological synchronisation : examples from bimanual movements and cardiorespiratory interaction},
  year      = {1997},
  abstract  = {Key words: Nonlinear time series analysis, symbolic dynamics, phase transitions, physiological data, biological synchronization, production of polyrhythms, cardiorespiratory interaction, variation of control parameter},
  language  = {en}
}
@article{SchiekDrepperEngbertetal.1998,
  author    = {Schiek, Michael and Drepper, Friedhelm R. and Engbert, Ralf and Suder, Katrin and Abel, Hans-Henning},
  title     = {Cardiorespiratory Synchronization},
  isbn      = {3-540-63481-9},
  year      = {1998},
  abstract  = {The complex behaviour of cardiorespiratory dynamics is shown to be related to the interaction between several physiological oscillators. This study is based on electrocardiogram and respiratory flow data obtained from 3 different subjects during paced breathing at 10 different pacing cycle lengths ranging from 5 s to 12 s. Two different methods ideally suited for the analysis of synchronization pattern of coupled oscillators are applied: 1. Symbolic dynamics based on symbol coding adapted for the detection of respiratory modulation of cardiac parasympathetic activity discloses two regimes of different synchronization behaviour within the frequency area corresponding to the Arnold tongue of 1:1 frequency-locking between respiratory flow and respiratory heartbeat variation (respiratory sinus arrhythmia). 2. The analysis of the phase shift between respiratory flow and respiratory sinus arrhythmia indicates that synchronization is not a static but a dynamic phenomenon. The observed dependence of the phase shift on respiratory cycle length shows large inter-individual variation. These findings turn out to be further hints for the existence of an additional central oscillator in the frequency range of respiration interacting with the central respiratory oscillator driving mechanical respiration.},
  language  = {en}
}
@article{EngbertHainzlZoelleretal.1998,
  author    = {Engbert, Ralf and Hainzl, Sebastian and Z{\"o}ller, Gert and Kurths, J{\"u}rgen},
  title     = {Testing for unstable periodic orbits to characterize spatiotemporal dynamics},
  year      = {1998},
  language  = {en}
}
@article{KrampeKlieglMayretal.2000,
  author    = {Krampe, Ralf-Thomas and Kliegl, Reinhold and Mayr, Ulrich and Engbert, Ralf and Vorberg, D.},
  title     = {The fast and the slow of skilled bimanual rhythm production : parallel versus integrated timing},
  year      = {2000},
  language  = {en}
}
@article{EngbertKliegl2001,
  author    = {Engbert, Ralf and Kliegl, Reinhold},
  title     = {Mathematical models of eye movements in reading : a possible role for autonomous saccades},
  year      = {2001},
  language  = {en}
}
@article{KrampeEngbertKliegl2001,
  author    = {Krampe, Ralf-Thomas and Engbert, Ralf and Kliegl, Reinhold},
  title     = {Age-specific problems in rhythmic timing},
  year      = {2001},
  language  = {en}
}
@article{EngbertKrampeKliegl2002,
  author    = {Engbert, Ralf and Krampe, Ralf-Thomas and Kliegl, Reinhold},
  title     = {Synchronizing movements with the metronome : nonlinear error corrections and unstable periodic orbits},
  year      = {2002},
  language  = {en}
}
@article{EngbertLongtinKliegl2002,
  author    = {Engbert, Ralf and Longtin, Andre and Kliegl, Reinhold},
  title     = {A dynamical model of saccade generation in reading based on spatially distributed lexical processing},
  year      = {2002},
  language  = {en}
}
@article{KrampeEngbertKliegl2002,
  author    = {Krampe, Ralf-Thomas and Engbert, Ralf and Kliegl, Reinhold},
  title     = {Representational models and nonlinear dynamics : irreconcilable approaches to human movement timing and coordination or two sides of the same coin? : Introduction to the special issue on movement timing and coordination},
  year      = {2002},
  language  = {en}
}
@article{EngbertScheffczykKrampeetal.2002,
  author    = {Engbert, Ralf and Scheffczyk, Christian and Krampe, Ralf-Thomas and Kurths, J{\"u}rgen and Kliegl, Reinhold},
  title     = {Symbolic dynamics of bimanual production of polyrhythms},
  isbn      = {3-540- 63481-9},
  year      = {2002},
  abstract  = {We analyse time series from a study on bimanual rhythmic movements in which the speed of performance (the external control parameter) was experimentally manipulated. Using symbolic transformations as a visualization technique we observe qualitative changes in the dynamics of the timing patterns. Such phase transitions are quantitatively described by measures of complexity. Using these results we develop an advanced symbolic coding which enables us to detect important dynamical structures. Furthermore, our analysis raises new questions concerning the modelling of the underlying human cognitive-motor system.},
  language  = {en}
}
@article{KrampeEngbertKliegl2002,
  author    = {Krampe, Ralf-Thomas and Engbert, Ralf and Kliegl, Reinhold},
  title     = {The effects of expertise and age on rhythm production : adaptations to timing and sequencing constraints},
  year      = {2002},
  language  = {en}
}
@article{EngbertKliegl2003,
  author    = {Engbert, Ralf and Kliegl, Reinhold},
  title     = {Microsaccades uncover the orientation of covert attention},
  year      = {2003},
  language  = {en}
}
@article{EngbertKliegl2003,
  author    = {Engbert, Ralf and Kliegl, Reinhold},
  title     = {Noise-enhanced performance in reading},
  year      = {2003},
  language  = {en}
}
@article{KlieglEngbert2003,
  author    = {Kliegl, Reinhold and Engbert, Ralf},
  title     = {SWIFT explorations},
  year      = {2003},
  language  = {en}
}
@article{EngbertKliegl2003,
  author    = {Engbert, Ralf and Kliegl, Reinhold},
  title     = {The game of word skipping : who are the competitors?},
  year      = {2003},
  abstract  = {Computational models such as E-Z Reader and SWIFT are ideal theoretical tools to test quantitatively our current understanding of eye-movement control in reading. Here we present a mathematical analysis of word skipping in the E-Z Reader model by semianalytic methods, to highlight the differences in current modeling approaches. In E-Z Reader, the word identification system must outperform the oculomotor system to induce word skipping. In SWIFT, there is competition among words to be selected as a saccade target. We conclude that it is the question of competitors in the "game" of word skipping that must be solved in eye movement research},
  language  = {en}
}
@article{KlieglEngbert2003,
  author    = {Kliegl, Reinhold and Engbert, Ralf},
  title     = {How tight is the link between lexical processing and saccade programs?},
  year      = {2003},
  abstract  = {We question the assumption of serial attention shifts and the assumption that saccade programs are initiated or canceled only after stage one of word identification. Evidence: (1) Fixation durations prior to skipped words are not consistently higher compared to those prior to non-skipped words. (2) Attentional modulation of microsaccade rate might occur after early visual processing. Saccades are probably triggered by attentional selection},
  language  = {en}
}