In this paper, we investigate the problem of bifurcation control for a delayed logistic growth model. By choosing the timedelay as the bifurcation parameter, we present a Proportional - Derivative (PD) Controller to control Hopf bifurcation. We show that the onset of Hopf bifurcation can be delayed or advanced via a PD Controller by setting proper controlling parameter. Under consideration mode...

The theory of superimposed incremental elastic deformations is applied to a deformed configuration residually-stressed circular cylindrical tube. tube subject internal or external pressure and an axial load that maintain its shape, then bifurcations from this shape are analysed. Detailed governing equations boundary conditions provided for axisymmetric, prismatic asymmetric general form strain–...

Tokamak plasmas become less tolerant to externally applied non-axisymmetric magnetic “error” fields as beta increases, due to a resonant interaction of the non-axisymmetric field with a stable € n =1 kink mode. Similar to observations in low beta plasmas, the limit to tolerable € n =1 magnetic field errors in neutral beam injection heated H-mode plasmas is seen as a bifurcation in the torque ba...

A transport barrier which is characterized by the steeper temperature or/and density gradient has been observed both in the core region (internal transport barrier : ITB) and edge region (edge transport barrier : ETB) in the plasmas with non-axisymmetric magnetic fields compared with the gyro-Bohm type L-mode transport. A reduction of thermal conductivity and particle diffusivity in these plasm...

The dynamics of viscous drops in linear creeping flows are investigated near the critical flow strength at which stationary drop shapes cease to exist. According to our theory the near-critical behavior of drops is dominated by a single slow mode evolving on a time scale that diverges at the critical point with exponent 1/2. The theory is based on the assumption that the system undergoes a sadd...

Marangoni convection is investigated in cylindrical column using a liquid with Pr=4. The present results are targeting on the study of the non-linear characteristics of the flow under zero-gravity conditions. The transitions to periodic, quasi-periodic and chaotic flows are investigated numerically. The 3-D oscillatory flow is a result of a supercritical Hopf bifurcation and the periodic orbit ...

We describe the dynamics and thermodynamics of collisionless particle disks orbiting a massive central body, in the case where the disk mass is small compared to the central mass, the self-gravity of the disk dominates the non-Keplerian force, and the spread in semi-major axes is small. We show that with plausible approximations such disks have logarithmic two-body interactions and a compact ph...