The homoclinic bifurcation and transition to chaos in gear systems is studied both analytically

and numerically. Applying Melnikov analytical method, the threshold values for the occur-

rence of chaotic motion is obtained...

resulted. Also, the bifurcation analysis of the transformed

system is presented. To support our theoretical results,

some numerical examples are given....

of the fluid stream. In this

paper, we consider a general implicit small perturbation of the classic model and study the effect of

it on the system. We will show that the local bifurcations may imply the existence of eddies for the...

coefficients

of the reduced vector field on the center manifold

for studying the bifurcations of the trivial equilibrium

such as transcritical, pitchfork, and Hopf bifurcation.

Finally, we consider the delay-coupled van der Pol

equations....

The homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically.ApplyingMelnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained. The influence of system...

We use Melnikov function techniques toghether with Geometric methods of bifurcation theory to study the interactions of forcing, damping and detuning on resonant periodic orbits for single and coupled forced Van der Pol...

In this paper, the dynamic behavior of an immunosuppressive infection model, speci_cally AIDS, is analyzed. We show through a simple mathematical model that a sigmoidal CTL response can lead to the occurrence of transcritical bifurcation...

This paper consider the perturbation of the third order oscillation. In fact by using the center manifold we reduced the equation and we cosider the periodic orbit under the perturbation ( Hofp bifurcation)...