This paper presents a 6D autonomous system, obtained by introducing a flux-controlled
memristor model into an existing 5D hyperchaotic autonomous system. The dynamics of the …

This tutorial presents an in-depth introduction to chaos in dynamical systems, and presents
several practical techniques for recognizing and classifying chaotic behavior. These …

Derived from Sine map and iterative chaotic map with infinite collapse (ICMIC), a new two-
dimensional Sine ICMIC modulation map (2D-SIMM) is proposed based on a close-loop …

A novel color image encryption algorithm based on a cross 2D hyperchaotic map is
proposed in this paper. The cross 2D hyperchaotic map is constructed using one nonlinear …

It is well known that chaos is unpredictability and sensitivity to initial values and parameters.
It is a best choice for cryptography application. However, the existing chaotic cryptography …

We present the first algorithms that allow the estimation of non-negative Lyapunov
exponents from an experimental time series. Lyapunov exponents, which provide a …

It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

Detecting the presence of chaos in a dynamical system is an important problem that is
solved by measuring the largest Lyapunov exponent. Lyapunov exponents quantify the …

This paper proposes a lightweight image encryption scheme that is based on 3 stages. The
first stage incorporates the use of the Rössler attractor for the Rössler system, the second …

We present the new effect of phase synchronization of weakly coupled self-sustained
chaotic oscillators. To characterize this phenomenon, we use the analytic signal approach …