In this article we elaborate on the structure of the generalized Lotka-Volterra (GLV) form for
nonlinear differential equations. We discuss here the algebraic properties of the GLV family …

A chemical reaction mechanism is presented that gives the Lorenz equations. After the axes
are translated so that the range of all the variables (now representing concentrations) is in …

Let us consider the differential equation ̇\bfy(t)=\bff(\bfy(t)) with an \bff from \bfR^N to \bfR^N
and suppose that there exists a transformation \bfh from \bfR^N to \bfR^̂N (̂N≤N) such …

An inverse problem framework for constructing reaction systems with prescribed properties
is presented. Kinetic transformations are defined and analysed as a part of the framework …

This research examines a chaotic chemical reaction system based on the variation of the
Lorenz system. This study demonstrates that although the first phase portraits of the …

This study addresses a longstanding question regarding the mathematical proof of chaotic
behavior in kinetic differential equations. Following the numerous numerical and …

A reaction-diffusion system in any number of spatial variables consisting of an arbitrary
number of chemical species cannot exhibit Turing instability if none of the reaction steps …

We study the existence of linear and nonlinear conservation laws in biochemical reaction
networks with mass-action kinetics. It is straightforward to compute the linear conservation …

The nuclear spin generator system is first converted into chemical kinetic schemes with
Poland method and Samaradzija's nonlinear transformation method respectively. The …

A large part of the interest in nonlinear dynamics arises from its applica tions: there is a
strong belief that an understanding of the patterns of bifurcations in dynamical systems …