We consider the dynamical one-dimensional Mindlin-Timoshenko system for beams. We analyze how its controllability properties depend on the modulus of elasticity in shear k. In particular we prove that the exact boundary controllability property of the Kirchhoff system may be obtained as singular limit, as k → ∞, of the partial controllability of a sharp subspace of low frequency components of t...

Let (X, d, T ) be a dynamical system, where (X, d) is a compact metric space and T : X → X a continuous map. We introduce two conditions for the set of orbits, called respectively g-almost product property and uniform separation property. The g-almost product property holds for dynamical systems with the specification property, but also for many others. For example all β-shifts have the g-almos...

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. ...

... 

in this paper, we introduce a new hyperchaotic complex t-system. this system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. we discuss the synchronization with certain and uncerta...

For a fixed C∗-algebra A, we consider all noncommutative dynamical systems that can be generated by A. More precisely, an Adynamical system is a triple (i, B, α) where α is a ∗-endomorphism of a C∗-algebra B, and i : A ⊆ B is the inclusion of A as a C∗-subalgebra with the property that B is generated by A∪α(A)∪α(A)∪ · · · . There is a natural hierarchy in the class of A-dynamical systems, and t...

In this chapter, we consider a perceptible variable that is related to τ, but is different from τ. The variable is phase, φ. φ is similar to τ in that both are timing variables and both are ratios of spatial variables that could be state variables of a dynamical system. As such, either could be used to drive a damped mass-spring system to yield an autonomous dynamical organization. Finally, bot...

Received We show that the category whose objects are famidclies of Markov processes on Polish spaces, with a given transition kernel, and whose morphisms are transition probability preserving, surjective continuous maps has semi-pullbacks, i.e. for any pair of morphisms fi : Si ! S (i = 1; 2), there exists an object V and morphisms i : V ! Si (i = 1; 2) such that f1 1 = f2 2. This property hold...

This article presents several results establishing connections between Markov chains and dynamical systems, from the point of view of open systems in physics. We show how all Markov chains can be understood as the information on one component that we get from a dynamical system on a product system, when losing information on the other component. We show that passing from the deterministic dynam...

The convergence property of a dynamical system is a strong condition with various useful implications. A convergent system exhibits a bounded globally attractively stable solution and thus its asymptotic (or symptotic) behaviour is independent of initial conditions. This paper presents conditions for the convergence property of mechanical systems submitted to unilateral constraints. A key role ...