Chaos and fractals from third-order digital filters. (English) Zbl 0704.58032
A nonlinear model of the third-order digital filter described as a nonlinear map of a cube is investigated on the boundary of a stable region. Computer simulations have revealed a chaotic dynamic and complicated fractal geometry of trajectories. Using analytical methods and in particular symbolic dynamics the authors explain such properties of the trajectories and their dependence on parameters of the system and a starting point of the trajectory.
Reviewer: E.D.Belokolos
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37E99 | Low-dimensional dynamical systems |
References:
| [1] | Chua, IEEE Trans. Circuits and Systems CAS-35 pp 648– (1988) |
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