Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

Motion imitation requires reproduction of a dynamical signature of a movement, ie a robot
should be able to encode and reproduce a particular path together with a specific velocity …

In this work, we investigate the spatiotemporal dynamics of reaction–diffusion equations
subject to cross-diffusion in the frame of a two-dimensional ratio-dependent predator–prey …

Studies on stability mechanism and bifurcation analysis of a system of interacting
populations by the combined effect of self and cross-diffusion become an important issue in …

The present investigation deals with the problem of a two-dimensional diffusive predator–
prey model incorporating prey refuge. In this investigation, we determine the Turing space in …

In this paper, spatial patterns of a diffusive predator–prey model with sigmoid (Holling type
III) ratio-dependent functional response which concerns the influence of logistic population …

In this article the solvability analysis of discretetime nonlinear singular switched systems with
restricted switching signals is studied. We provide necessary and sufficient conditions for the …

The notion of Lyapunov function plays a key role in the design and verification of dynamical
systems, as well as hybrid and cyber-physical systems. In this paper, to analyze the …

In [3] Conley showed that the state-space of a dynamical system can be decomposed into a
gradient-like part and a chain-recurrent part, and that this decomposition is characterized by …

Quasi-interpolation has been studied extensively in the literature. However, most studies of
quasi-interpolation are usually only for discrete function values (or a finite linear combination …