In this study, the authors investigate the Gallager’s error exponents of dual-hop amplify-and-forward systems over generalised η-μ and κ-μ fading channels, two versatile channel models which encompass a number of popular fading channels such as Rayleigh, Rician, Nakagami-m, Hoyt and one-sided Gaussian fading channels. The authors present new analytical expressions for the probability density fu...

Cascading failures may lead to dramatic collapse in interdependent networks, where the breakdown takes place as a discontinuity of the order parameter. However, this is a hybrid transition, meaning that, besides this first order character, the transition shows scaling too. Recently we showed that there are two sets of exponents describing respectively the order parameter and the cascade statist...

An ordinary differential equations (ODE) system describing the oscillation dynamics of a neuronal network is numerically integrated aiming to evidence chaos by the change in sign from negative to positive of the maximum Lyapunov exponents, and by a sudden decrease in the error doubling time. The error doubling time is calculated for different frequencies of the spiking rate oscillations. Than, ...

Neurodynamical models of recurrent networks are characterized by their topology, by interactions between the elements sitting at the nodes of a network and by intrinsic dynamics of these local subsystems. In the present paper we give some relationship between Lyapunov’s exponents and the recurrent neural network model described by the system of delay-differential equations. We investigate the d...

In this paper, we study the Lyapunov exponents of a micro chaotic mixer to understand the mixing effectiveness under different operating parameters. A simple kinematic micro mixer model is used for the simulated flow visualization and then for the computation of Lyapunov exponents using two different numerical methods. These two methods generate consistent result to corroborate the existence of...

methods in this research, we utilized the chaos theory and fractal analysis in the interpretation of breast tumors on dce-mri. this cross-sectional study was done at pardisnoor imaging center during years 2015 and 2016 in iran. our sample size was 18 mass lesions, which were randomly selected among patients with birad 3 and birad 4 classification by the expert radiologist. the analysis was perf...

The properties of an infinite system at a continuous phase transition are characterised by non-trivial critical exponents. These non-trivial exponents are related to scaling relations of the thermodynamic potential. The scaling properties of the singular part of the specific entropy of infinite systems are deduced starting from the well-established scaling relations of the Gibbs free energy. Mo...