Errors in reaction-path following have been examined with the aid of a simple model surface and a local correction scheme has been proposed. Two new fourth-order explicit ...

We present a number of programs to investigate and visualize chaos as it occurs with iterated application of functions. We look at ways to picture orbits under repeated ...

In this paper, we consider the weak center conditions and local critical periods for a Z2-equivariant cubic system with eleven center conditions at the bi-center. Using the ...

Using bifurcation method and numerical simulation approach of dynamical systems, we study a two-component Fornberg- Whitham equation. Two types of bounded traveling wave ...

We perform a detailed study of Gibbs-non-Gibbs transitions for the Curie- Weiss model subject to independent spin-flip dynamics (“infinite-temperature” dynamics). We show ...

A class of polynomial differential systems with high-order nil potent critical points are investigated in this paper.Those systems could be changed into systems with an ...

This paper is devoted to the application of the computer algebra system Mathematica for the inves tigation of a nonlinear system of algebraic equations with parameters that ...

In this paper, a class of polynomial differential system with high-order critical point are investigated. The system could be changed into a system with a 3-order nilpotent ...

In this article a symbolic Mathematica package for analysis and control of chaos in discrete and continuous nonlinear systems is presented. We start by presenting the main ...

A general approach of the automated algorithms for derivation of amplitude equations for dynamical and distributed systems is presented. A brief description of the ...