In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

Human experience of temporal durations exhibits a multi-regional structure, with more or less distinct boundaries, or horizons, on the scale of physical duration. The inner horizons are imposed by perceptual thresholds for simultaneity (approximately equal to 3 ms) and temporal order (approximatly equal to 30 ms), and are determined by the dynamical properties of the neural substrate integratin...

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. ...

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.

We consider the observational signature of the dynamical effects on the luminosity function of globular clusters. For the three best studied systems, in Milky Way, M31, and M87, there is a statistically significant difference between the inner and outer population of globular clusters. In all cases the inner clusters are on average brighter than the outer clusters (0.26 < ∆m0 < 0.84) and have a...

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.

Among the outer solar system minor planet orbits there is an observed gap in perihelion between roughly 50 and 65 au at eccentricities $e\gtrsim0.65$. Through a suite of observational simulations, we show that arises from two separate populations, Extreme Trans-Neptunian Objects (ETNOs; perihelia $q\gtrsim40$ semimajor axes $a\gtrsim150$ au) Inner Oort Cloud objects (IOCs; $q\gtrsim65$ $a\gtrsi...

We consider the observational signature of the dynamical eeects on the lumi-nosity function of globular clusters. For the three best studied systems, in Milky Way, M31, and M87, there is a statistically signiicant diierence between the inner and outer population of globular clusters. In all cases the inner clusters are on average brighter than the outer clusters (0:26 < m 0 < 0:84) and have a s...