Logistic Dynamics with Distributed Lags
Logistic Dynamics with Distributed Lags
Summary: We present some results concerning the dynamics of a discrete-time dynamical system \(x_t=F(y_t)\), where \(y\) is a variable lagged on \(x\) by means of a distributed lag, and \(F(s)=\mu s(1-s)\) is the logistic map. We show that a suitable distribution of the delay produces a significant simplification of the dynamical complexity when compared to all basic results concerning the choice of a single fixed delay \(y_t=x_{t-1}\).
- University of Trieste Italy
logistic map, Discrete-time control/observation systems, Economic growth models, Nonlinear systems in control theory, dynamical complexity, discrete-time dynamical system
logistic map, Discrete-time control/observation systems, Economic growth models, Nonlinear systems in control theory, dynamical complexity, discrete-time dynamical system
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