Abstract Indices of oscillatory behavior are conveniently obtained by projecting the fields in question into a phase space few (mostly just two) dimensions; empirical orthogonal functions (EOFs) or other, more dynamical, modes typically used for projection. If sufficiently coherent and quadrature, projected variables simply describe rotating vector space, which then serves as basis predictions....

The irregularity of growing and shortening patterns observed experimentally in microtubules their ensembles reflects a dynamical system that fluctuates stochastically between assembly disassembly phases. time series microtubule lengths have been extensively analyzed to shed light on structural properties microtubules. Here, for the first time, Multifractal Detrended Fluctuation analysis (MFDFA)...

In this paper, a dynamical model-based SMC (Sliding Mode Control) is proposed fortrajectory tracking of a 3-RPS (Revolute, Prismatic, Spherical) parallel manipulator. With ignoring smallinertial effects of all legs and joints compared with those of the end-effector of 3-RPS, the dynamical model ofthe manipulator is developed based on Lagrange method. By removing the unknown Lagrange multipliers...

Abstract. The build-up of pollutants to harmful levels can occur when meteorological conditions favour their production or accumulation near the surface. Such arise a region experiences air stagnation. link between European stagnation, pollution and synoptic- large-scale circulation is investigated in this article across all seasons 1979–2018 period. Dynamical indices identifying atmospheric bl...

In uncertainty quantification, a stochastic modelling is often applied, where parameters are substituted by random variables. We investigate linear dynamical systems of ordinary differential equations with quantity interest as output. Our objective to analyse the sensitivity output respect A variance-based approach generates partial variances and indices. expand using generalised polynomial cha...

We have studied few social inequality measures associated with the sub-critical dynamical features (measured in terms of avalanche size distributions) four self-organized critical models while corresponding systems approach their respective stationary states. It has been observed that these (specifically Gini and Kolkata indices) exhibit nearly universal values though here are widely different,...

This paper proposes a novel approach for coherent generators online clustering in a large power system following a wide area disturbance. An interconnected power system may become unstable due to severe contingency when it is operated close to the stability boundaries. Hence, the bulk power system controlled islanding is the last resort to prevent catastrophic cascading outages and wide area bl...

In this paper, we have proposed and analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations.

In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of  weak contractions with shadowing and h-shadowing property.