References
- Pavlidis T. Population of interacting oscillators and circadian rhythms. J Theoret Biol 1969; 22: 418–36
- Wever R. Possibilities of phase control, demonstrated by an electronic model. Cold Spring Harbor Symp Quant Biol 1960; 25: 197–206
- Klotter R. General properties of oscillating systems. Cold Spring Harbor Symp Quant Biol 1960; 25: 185–7
- Kronauer R, Czeisler C, Pilato S, Moore-Ede M, Weitzman E. Mathematical model of the human circadian system with two interacting oscillators. Am J Physiol 1982; 242: R3–R17
- Gander P, Kronauer R, Czeisler C, Moore-Ede M. Simulating the action of zeitgeber on a coupled two-oscillator model of the human circadian system. Am J Physiol 1984; 247: R418–26
- Gander P, Kronauer R, Czeisler C, Moore-Ede M. Modelling the action of zeitgebers on the human circadian system: comparison of simulation and data. Am J Physiol 1984; 247: R427–44
- Gander P, Kronauer R, Graeber C. Phase shifting two coupled circadian pacemakers: implications for jet-lag. Am J Physiol 1985; 249: R704–19
- Kronauer R. A model for the effect oflight on the human “deep circadian pacemaker.”. Sleep Res 1987; 16: 621
- Jewett ME, Kronauer RE, Czeisler CA. Light-induced suppression of endogenous circadian amplitude in humans. Nature 1991; 350: 59–62
- Czeisler C, Kronauer R, Allan J, Duffy J, Jewett M, Brown E, Ronda J. Bright light induction of strong (type 0) resetting of the human circadian pacemaker. Science 1989; 244: 1328–33
- Daan S, Berde C. Two coupled oscillators: simulation of the circadian pacemaker in mammalian activity rhythms. J Theoret Biol 1978; 70: 292–313
- Daan S, Beersma D, Borbely A. Timing of human sleep: recovery process gated by circadian pacemaker. Am J Physiol 1984; 246: R161–78
- Kawato M, Fujita K, Suzuki R, Winfree A. A three-oscillator model of the human circadian system controlling the core temperature rhythm and the sleep-wake cycle. J Theoret Biol 1982; 98: 369–92
- O'Connor K, Mandell A, Knapp S. A piecewise-linear difference equation model of the human sleep-wake cycle [Abstract]. Soc Neurosci 1990; 16: 603
- Babloyantz A, Destexhe A. Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA 1986; 83: 3513
- Babloyantz A. Some remarks on nonlinear data analysis of physiological time series. Measures of complexity and chaos, NB Abraham. Plenum Press, New York 1990; 51–62
- Frank G, Lookman T, Nerenberg M. Chaotic time series using short and noisy data sets: application to a clinical epilepsy seizure. Measures of complexity and chaos, NB Abraham. Plenum Press, New York 1990; 113–6
- Mackey M, Glass L. Oscillation and chaos in physiological control systems. Science 1977; 197: 287–9
- Golberger L, West A. Applications of nonlinear dynamics to clinical cardiology. Ann NY Acad Sci 1987; 504: 195
- Glass L, Mackey M. From clocks to chaos: the rhythms of life. Princeton University Press, Princeton, NJ 1988
- Press W, Flannery S, Teukolsky S, Vetterling W. Numerical recipes: the art of scientific computing. Cambridge University Press, New York 1986
- Wolff A, Swift B, Sweenney H, Vastano J. Determining Liapunov exponents from a time series. Physica D 1985; 16: 285–317
- Newland D. An introduction to random vibrations and spectral analysis. Longman Group Limited, London 1975
- Eckmann J, Kamphorst S, Ruelle D, Ciliberto S. Liapunov exponents from time series. Physiol Rev 1986; 34: 4971–9
- Pool R. Is it healthy to be chaotic?. Science 1989; 243: 604–7
- Rosenwasser A, Adler N. Structure and function in circadian timing systems: evidence for multiple coupled circadian oscillators. Neurosci Biobehav Rev 1986; 10: 431–48
- Froehling H, Crutchfield J, Farmer D, Packard N, Shaw R. On determining the dimension of chaotic flows. Physica D 1981; 3: 605–17