Abstract
The authors show that increasing the number of delays in nonlinear time-delayed dynamical systems can cause a reduction of complexity, using the KS and permutation entropies in the Lang-Kobayashi semiconductor laser model as well as the Mackey-Glass equation.
Highlights
Increasing the number of delays in nonlinear dynamical systems is generally assumed to lead to higher complexity, but “distributed delay” systems with an infinite number of delays to lesser complexity
At a large number of delays that depends on the feedback strength, this trend reverses, leading to simpler dynamics
Delay Differential Equations (DDEs) are a class of dynamical systems governed by some memory of the past
Summary
Delay Differential Equations (DDEs) are a class of dynamical systems governed by some memory of the past. At a large number of delays that depends on the feedback strength, this trend reverses, leading to simpler dynamics.
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