Abstract
We introduce a general class of iterative delay maps to model high-dimensional chaos in dynamical systems with delayed feedback. The class includes as particular cases systems with a linear local dynamics. We report analytic and numerical results on the scaling laws of Lyapunov spectra with a number of degrees of freedom. Invariant measure is computed through a self-consistent Frobenius-Perron formalism, which allows also a recalculation of the maximum Lyapunov exponent in good agreement with the one measured directly.
Original language | English |
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Pages (from-to) | 235-249 |
Number of pages | 15 |
Journal | Physica. D, Nonlinear Phenomena |
Volume | 70 |
Issue number | 3 |
DOIs | |
Publication status | Published - 15 Jan 1994 |
Keywords
- feedback
- attractors