This paper studies center conditions and bifurcation of limit cycles from the equator for a class of polynomial differential system of order seven. By converting real planar ...

In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of quintic polynomial differential system are investigated. With ...

Gledzer's cascade shell model of turbulence with six real variables is studied numerically using mathematica 5.1. The Poincaré plot of the first mode v1 is used to determine ...

Mathematica functions are presented to plot flows and animate one-parameter bifurcations of planar systems of ordinary differential equations. The functions are used to ...

We contribute to the analysis of codimension-two bifurcations in discontinuous systems by studying all equilibrium bifurcations of 2D Filippov systems that involve a sliding ...

We study the Hopf bifurcation from the equilibrium point at the origin of a generalized Moon–Rand system. We prove that the Hopf bifurcation can produce 8 limit cycles. The ...

A general four-dimensional normal form of a double Hopf bifurcation is considered. As a particular case, the normal form of a forced (non-autonomous) non-linear oscillator ...

The bifurcation solutions and their stability of a three-hinged rod under conservative compressive force are investigated. The equations for the system are non-linear, and ...

The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are ...

Applying the higher-order averaging method, we study the periodically forced, standard Duffing oscillator. A package of the computer algebra system, Mathematica, recently ...