The Fractional-order derivative (FOD) has a rich history in mathematical science. In
comparison, the half derivative has not been extensively used in applied science and …

We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for
dynamical systems, as well as of the numerical techniques developed for the computation of …

Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical
models in natural systems, particularly ecological systems. Most of the models presented are …

Stimulation with rhythmic light flicker (photic driving) plays an important role in the diagnosis
of schizophrenia, mood disorder, migraine, and epilepsy. In particular, the adjustment of …

This paper intends to investigate the bifurcation features with chaos and nonlinear coherent
structures for the voltage wave propagation by developing a Hamiltonian dynamical system …

Sample-based methods are a useful tool in analyzing the global behavior of multi-stable
systems originating from various branches of science. Classical methods, such as …

Memristor is a nonlinear electronic component with good plasticity, and it is widely used to
function as the synapse. Significantly, the inter-neuronal communication is a discrete …

Based on the mathematical model of the elliptical cylinder, we design a new hyperchaotic
map with an elliptical cylinder or a cylinder attractor. The dynamical analysis results indicate …

This paper aims at providing a numerical calculation method of the spectrum of Lyapunov
exponents in a four-dimensional impulsive hybrid nonlinear dynamics of a passive compass …

Isolating slower dynamics from fast fluctuations has proven remarkably powerful, but how do
we proceed from partial observations of dynamical systems for which we lack underlying …