we present a numerical study of a one-dimensional version of the burridge-knopoff model [16] of n-site chain of spring-blocks with stick-slip dynamics. our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. it is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...

Sliding Sector Control (SSC) design method for nonlinear systems is proposed in such a way that the system trajectories are kept around sliding surface which surrounded by sector. The SSC derived so enforced to stay inside sector tracking requirements. State-Dependent Differential Riccati Equations (SDDRE) solved dynamical system. Within this context, having nonlinear(or state-dependent) surfac...

A modulated holding beam shining a VCSEL above threshold can improve modulation bandwidth by adjusting the semiconductor laser’s relaxation oscillation frequency. The improved modulation characteristics are accompanied by reduced damping rate. By choosing correct parameters, dynamical behavior of system and cavity solitons is changed.

We present a study of the structural and scaling properties of the gas distributions in the intracluster medium (ICM) of 31 nearby (z < 0.2) clusters observed with XMM-Newton, which together comprise the Representative XMM-Newton Cluster Structure Survey (REXCESS). In contrast to previous studies, this sample is unbiased with respect to X-ray surface brightness and cluster dynamical state, and ...

A computational approach to simultaneously learn the vector field of a dynamical system with locally asymptotically stable equilibrium and its region attraction from system's trajectories is proposed. The nonlinear identification leverages local stability information as prior on system, effectively endowing estimate this important structural property. In addition, knowledge can be used design e...