This paper deals with various routes to hyperchaos with all three positive Lyapunov
exponents in a three-dimensional quadratic map. The map under consideration displays …

We study numerically the dynamics of low–dimensional ensembles of discrete neuron
models-Chialvo maps. We are focused on choosing the autonomous map parameters …

The complex dynamics of neuron model including bifurcation behaviors and firing patterns,
especially unstable firing patterns, furnish a favorable point of view for the research of …

This paper explores novel ways of predicting and classifying the dynamics of piecewise
smooth maps using various deep learning models. Moreover, we have used machine …

We consider the rich dynamics and bifurcations exhibited by a three-dimensional quadratic
map. Torus doubling bifurcations are central to bifurcation theory. Such bifurcations can only …

The dynamical behavior and bifurcations of a two-dimensional discrete chaotic system with
a rational fraction are investigated in this paper, the existence and stability of the fixed points …

Recent studies have shown that chaotic maps are well-suited for applications requiring
unpredictable behaviour, making them a valuable tool for enhancing unpredictability and …

Resonant torus doubling bifurcation occurs in discrete maps of three or more dimensions. To
date, only three discrete maps have been known to exhibit such bifurcations namely …

One way to characterize an orbit of a dynamical system is through its frequency content.
Using a “spectral bifurcation diagram”, it has been shown earlier how the frequency content …

This paper examines the intricate dynamics of the logistic map involving impulsive forces
that depend on the state. The conditions of stability and border-collision bifurcation (BCB) of …