Motivation to revisit the Conley index theory for discrete multivalued dynamical systems stems from the needs of broader real applications, in particular in sampled dynamics or in combinatorial dynamics. The new construction of the index in [B. Batko and M. Mrozek, SIAM J. Applied Dynamical Systems, 15(2016), pp. 1143-1162] based on weak index pairs, under the circumstances of the absence of in...

in this paper, front engine accessory drive (fead) system of automotive engine is modeled with adams software. the model is validated using engine test data. it is then used to investigate the effect of design parameters on the system performance such as belt vibration and loads on the idlers. three alternative layouts were developed in order to improve the performance of original eead system. ...

We characterize those subsets S of the positive integers with the property that, whenever a point x in a dynamical system enters a compact set K along S, K contains a recurrent point. We do the same for uniform recurrence. Let X denote a (compact) metric space and f : X → X a continuous map. We will use the term (compact) dynamical system to refer to such a pair (X, f) . As usual, we write f fo...

The dynamical system (f,R) is introduced and some of its properties are investigated. It is proven that there is an invariant set Λ on which the periodic points of f are dense.

in this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using lyapunov techniques. the system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. some examples in dimensional two are given to illustrate theapplicability of the main results.

Given a C ⁎ -dynamical system ( A , G α ) with discrete group, Schur -multipliers and Herz–Schur are used to implement approximation properties, namely exactness the strong operator property (SOAP), of ⋊ r . The resulting characterisations SOAP generalise corresponding statements for reduced group -algebra.