In this paper, we investigate nonlinear adaptive–impulsive synchronization of chaotic systems. The core of adaptive–impulsive synchronization of chaotic systems is to design suitable nonlinear adaptive–impulsive controllers to attain certain aims. Based on invariant principle of impulsive...

The response of a two-degree-of-freedom system with quadratic coupling under a modulated amplitude sinusoidal excitation is studied and solved. The method of multiple scale perturbation technique is applied to obtain the bifurcation response equation near the combination resonance case in the...

This paper proposes a simple adaptive synchronization method for a chaotic permanent magnet synchronous motor (PMSM). Convergence of the closed-loop system responses is shown by using a Lyapunov function. The proposed adaptive synchronization method does not require the restrictive assumption of...

A nonlinear stability analysis using a multiple-scales perturbation procedure is performed for the instability of two layers of immiscible, strongly anisotropic, magnetized, inviscid, arbitrarily compressible fluids in relative motion. Such configurations are of relevance in a variety of...

The paper combines theoretical analyses with computer simulation studies of spatiotemporal synchronization regimes arising in a two-dimensional (2D) lattice of diffusively coupled identical oscillators with complicated individual dynamics. The existence of linear invariant manifolds, defining...

At any Reynolds number the temporal limit satisfies two principles. One concerns the arousing of tiny counterclockwise- or clockwise-rotating eddies attached to a rigid wall; the other, the merging and splitting of counterclockwise- or clockwise-rotating eddies, accounting for the tails and the...

We describe the results of a study of dynamic modes and bifurcations in a relay system with hysteresis. An electric drive with a dc motor powered by a static electric power converter in which the motor torque is stabilized by a relay control system is taken as an example. The behavior of such a...