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 …

We review here the status of research on the dynamics of electrochemical reactions. The
electrodissolution of metals, cathodic deposition, and electrocatalytic reactions are …

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 …

A prototype equation to the Lorenz model of turbulence contains just one (second-order)
nonlinearity in one variable. The flow in state space allows for a “folded” Poincaré map …

Just a few decades ago, chemical oscillations were thought to be exotic reactions of only
theoretical interest. Now known to govern an array of physical and biological processes …

Page 1 NONLINEAR SCIENCE THEORY AND APPLICATIONS Mathematical models of
chemical reactions Theory and applications of deterministic and stochastic models Page 2 …

Based on a variable-boostable chaotic system, a conservative chaotic system with
controllable amplitude and offset is proposed. The system exhibits rich symmetrical …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

While it is known that 3-variable continuous dynamical systems are 'infinitely'richer in their
behavioral capabilities than two-variable ones (see, eg,(1)), a systematic attempt at finding …

Most current theoretical work on whole ecological communities is based on a conception of
community dynamics (see, for example, refs 1, 2) in which the community resides in a …