Many challenging problems that consider the analysis and control of neural brain rhythms
have been motivated by the advent of deep brain stimulation as a therapeutic treatment for a …

This paper presents analytical studies of the stochastic differential equation with Mathieu-
Duffing oscillator under velocity feedback control with a time delay. We derive the analytic …

We present a linear analysis for a recently proposed modification of the delay feedback
control technique that allows one to stabilize unstable periodic orbits of a strange attractor …

The dynamical regime of a single mode laser with modulated losses in the chaotic
parameter range has been stabilized over one of the periodic orbits contained within the …

The buck converter has been known to exhibit chaotic behavior in a wide parameter range.
In this paper, the resonant parametric perturbation method is applied to control chaos in a …

We describe controlling chaos in a laser diode with an external cavity through a sinusoidal
modulation to the injection current. The modulation is optimized by analytically determining …

A control method of the homoclinic bifurcation is developed and applied to the nonlinear
dynamics of the Helmholtz oscillator. The method consists of choosing the shape of external …

We present an analysis of the properties as well as the diverse applications and extensions
of the method of stabilisation transformation. This method was originally invented to detect …

Nonlinear dynamics of a spherical cavitation bubble was studied. A method based on
applying a periodic perturbation to suppress chaotic oscillations is introduced. The relation …

The possibility of eliminating spatiotemporal chaos and spiral waves by weak spatial
perturbations in a spatially extended dynamical system is demonstrated numerically through …