Unstable dynamical systems : Delays , noise and control

  title={Unstable dynamical systems : Delays , noise and control},
  author={John G. Milton and Juan Luis Cabrera and Toru Ohira},
Escape from an unstable fixed point in a time-delayed dynamical system in the presence of additive white noise depends on both the magnitude of the time delay, τ , and the initial function. In particular, the longer the delay the smaller the variance and hence the slower the rate of escape. Numerical simulations demonstrate that the distribution of first passage times is bimodal, the longest first passage times are associated with those initial functions that cause the greatest number of… CONTINUE READING
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Retarded Dynamical Systems: Stability and Characteristic Functions, Pitman Res

  • G. Stépán
  • Notes Math. Ser.,
  • 1989
Highly Influential
7 Excerpts

Motor Control: Theory and Practical Applications

  • A. Shumway-Cook, M H.Woollacott
  • 2001

Discontinuous and Optimal Control (McGraw-Hill, New York

  • I. Flügge-Lotz
  • 1968

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