Since its original publication in 1978, Lozi's chaotic map has been thoroughly explored and
continues to be. Hundreds of publications have analyzed its particular structure and applied …

The Lozi map is well-known and has been studied in various researches. By combining
three research trends (discrete map, memristor and fractional calculus) we investigate a …

We consider the well-known Lozi map, which is a 2D piecewise linear map depending on
two parameters. This map can be considered as a piecewise linear analog of the Hénon …

Hénon Maps: A List of Open Problems | Arnold Mathematical Journal Skip to main content
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Writing a history of a scientific theory is always difficult because it requires to focus on some
key contributors and to “reconstruct” some supposed influences. In the 1970s, a new way of …

We study the fractional maps of complex order, α 0 eir π/2⁠, for 0< α 0< 1 and 0≤ r< 1 in
one and two dimensions. In two dimensions, we study Hénon, Duffing, and Lozi maps, and …

Chaotic behavior is a term that is attributed to dynamical systems whose solutions are highly
sensitive to initial conditions. This means that small perturbations in the initial conditions can …

In this paper, the design of a data-rate constrained observer for a dynamical system is
presented. This observer is designed to function both in discrete time and continuous time …

In the last few years the literature has witnessed a remarkable surge of interest for maps
implemented by discrete-time (DT) memristor circuits. One main reason is that from …

In this work, we consider a continuous two-dimensional piecewise linear family of maps in
which the fixed point and other cycles undergo a center bifurcation, the analogue of a …