Chaotic systems are widely studied in various research areas such as signal processing and
secure communication. Existing chaotic systems may have drawbacks such as …

Chaotic systems are widely employed in many practical applications for their significant
properties. Existing chaotic systems may suffer from the drawbacks of discontinuous chaotic …

Initial condition-relied extreme multistability has been recently found in many continuous
dynamical systems. However, such a specific phenomenon has not yet been discovered in a …

Chaotic maps have been widely applied on image encryption for their complexity and
sensitivity to key variation. In this work, we propose second-order chaotic maps with …

A dynamical approach on the dynamics of iterative methods with memory for solving
nonlinear equations is made. We have designed new methods with memory from …

In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …

This paper reports a class of two-dimensional rational memristive maps by introducing a
general discrete memristor model into the two-dimensional rational maps. Interestingly …

In this paper, a new one-dimensional map is introduced, which exhibits chaotic behavior in
small interval of real numbers. It is discovered that a very simple fraction in a square root …

This paper studies a new class of two-dimensional rational maps exhibiting self-excited and
hidden attractors. The mathematical model of these maps is firstly formulated by introducing …

Intriguing as the discovery of new chaotic maps is, some new maps also bring new
nonlinear phenomena of iterative map behavior. In this paper, we present a simple two …