Contraction theory is a powerful tool for proving asymptotic properties of nonlinear dynamical systems including convergence to an attractor and entrainment to a periodic excitation. We consider three generalizations of contraction with respect to a norm that allow contraction to take place after small transients in time and/or amplitude. These generalized contractive systems (GCSs) are useful ...

We illustrate some novel contraction and regularizing properties of the Heat flow in metric-measure spaces that emphasize an interplay between Hellinger-Kakutani, Kantorovich-Wasserstein Hellinger-Kantorovich distances. Contraction Hellinger-Kakutani distances general Csiszár divergences hold arbitrary do not require assumptions on linearity flow. style='text-indent...

we investigated contraction to noradrenaline (na) and kc1 and sensitivity of na at the level of larger vessels (thoracic aorta and vena cava; left renal artery and left renal vein; lateral saphenous artery and lateral saphenous vein and finally central ear artery and marginal ear vein) in a model devised to mimic heart failure. the model presented here is the rabbit coronary ligation model in w...

We consider the weakly asymmetric exclusion process on $d$-dimensional torus. prove a large deviations principle for time averaged empirical density and current in joint limit which both interval number of particles diverge. This result is obtained by analyzing variational convergence, as diverges, Donsker-Varadhan functional considering behavior hydrodynamical rate function. The asymptotic the...

In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.

muscle fatigue assessment has been the basis of numerous studies, specifically, in neuromuscular rehabilitation and the applications of fessystems. various emgbased techniques, in time and frequency domains, have been investigatedover years for the detection and evaluationof this phenomenon. the main objective of this study has beento evaluate the efficiency of applying a number of techniques w...

The Bayesian approach to inverse problems with functional unknowns, has received significant attention in recent years. An important component of the developing theory is study asymptotic performance posterior distribution frequentist setting. present paper contributes area by formulating a contraction for linear problems, truncated Gaussian series priors, and under general smoothness assumptio...

In this paper we study the stability properties of a delay differential equation by means of contraction mappings. The paper is motivated by a number of difficulties encountered in the study of stability by means of Liapunov’s direct method. We notice that most of these difficulties vanish when applying fixed point theory. An asymptotic stability theorem with a necessary and sufficient conditio...