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STOCHASTIC DYNAMICS

Inleidende tekst.


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literature
AuthorYearTitleJournalPDF
Patanarapeelert, K., Frank, T. D., Friedrich, R., Beek, P. J., & Tang, I. M.2006A data analysis method for identifying deterministic components of stable and unstable time delayed systems with colored noise.Physics Letters A, 360, 190-198.PDF
Wilmer, A., Frank, T. D., Beek, P. J., & Friedrich, R.2007A data-analysis method for identifying differential effects of time-delayed feedback forces and periodic driving forces in stochastic systems.European Physics Journal B, 60, 203-215.PDF
van Mourik, A. M., Daffertshofer, A., & Beek, P. J.2006Estimating Kramers-Moyal coefficients in short and non-stationary data sets.Physics Letters A, 351, 13-17.PDF
van Mourik, A. M., Daffertshofer, A., & Beek, P. J.2008Extracting dynamics from the stochastics of rhythmic forearm movements.Journal of Motor Behavior, 40, 214-231.PDF
Frank, T. D., & Beek, P. J.2005Fokker-Planck equations for globally coupled many-body systems with time delays.Journal of Statistical Mechanics: Theory and Experiment, 10, P10010.PDF
Frank, T. D., Beek, P. J., & Friedrich, R.2003Fokker-Planck perspective on stochastic delay systems: Exact solutions and data analysis of biological systems.Physical Review E, 68, 021912.PDF
Frank, T. D., Daffertshofer, A., Peper, C. E., Beek, P. J., & Haken, H.2001H-theorem for a mean field describing coupled oscillators under external forces.Physica D, 150, 219-236.PDF
Frank, T. D., Friedrich, R., & Beek, P. J.2005Identifying and comparing states of time-delayed systems: Phase diagrams and applications to human motor control systems.Physics Letters A, 338, 74-80.PDF
Frank, T. D., Beek, P. J., & Friedrich, R.2004Identifying noise sources of time-delayed feedback systems.Physics Letters A, 238, 219-224.PDF
Frank, T. D., Daffertshofer, A., & Beek, P. J.2002Impacts of statistical feedback on the flexibility-accuracy trade-off in biological systems.Journal of Biological Physics, 28, 39-54.PDF
Frank, T. D., Daffertshofer, A., & Beek, P. J.2001Multivariate Ornstein-Uhlenbeck processes with mean field dependent coefficients: Application to postural sway.Physical Review E, 63, 011905.PDF
Frank, T. D., Patanarapeelert, K., & Beek, P. J.2008Portfolio theory of optimal isometric force production: Variability predictions and nonequilibrium fluctuation-dissipation theorem.Physics Letters A, 372, 3562-3568.PDF
Frank, T. D., & Beek, P. J.2001Stationary solutions of linear stochastic delay differential equations: Applications to biological systems.Physical Review E, 64, 021917.PDF
Frank, T. D., Friedrich, R., & Beek, P. J.2006Stochastic order parameter equation of isometric force production revealed by drift-diffusion estimates.Physical Review E, 74, 051905.PDF
Patanarapeelert, K., Frank, T. D., Friedrich, R., Beek, P. J., & Tang, I. M.2006Theoretical analysis of destabilization resonances in time-delay stochastic second-order dynamical systems and some implications for human motor control.Physical Review E, 73, 021901.PDF
Frank, T. D., Friedrich, R., & Beek, P. J.2005Time series analysis of multivariate time-delayed systems with noise: Applications to laser physics and human movement.Stochastics and Dynamics, 5, 297-306.PDF
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Jackson Pollock (1912-1956)

Number 8 (1948)

Oil, enamel & aluminum on canvas, 86,6x180,9 cm. / 34,1x 71,3 inch
Neuberger Museum of Art, State University of New York

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