at the beginning of this paper, design and manufacturing stages of the 3 degree of freedom test stand for a remotely piloted helicopter is described, in which the helicopter is able to rotate about its three primary accesses. in the next parts the dynamical model of the rph in the yaw channel is presented and lateral transfer function of rph (yaw channel) is extracted by performing several test...

We present a new approach to the modeling of continuous-time system observed in discrete time. The rationale behind this approach is that discretetime models of continuous-time systems ought to be invertible; this property implying that we should investigate group theoretic methods using compositions of invertible basis transformations to approximate the (invertible) map of a dynamical system. ...

A new class of dynamical systems is defined, the class of “locally equicontinuous systems” (LE). We show that the property LE is inherited by factors as well as subsystems, and is closed under the operations of pointed products and inverse limits. In other words, the locally equicontinuous functions in l∞(Z) form a uniformly closed translation invariant subalgebra. We show that WAP ⊂ LE ⊂ AE, w...

MOTIVATION Given a large-scale biological network represented as an influence graph, in this article we investigate possible decompositions of the network aimed at highlighting specific dynamical properties. RESULTS The first decomposition we study consists in finding a maximal directed acyclic subgraph of the network, which dynamically corresponds to searching for a maximal open-loop subsyst...

in this paper, reduced order proper orthogonal decomposition method has been used for simulation of unsteady incompressible flow fields. after projection of the governing equations along pod modes, a low-dimensional dynamical system is achieved. normally, standard low-dimensional models, due to some reasons, do not predict time variations of flow field accurately. accuracy of dynamical system h...

The theory of zero-dimensional extensions is a useful tool in the study entropy theory. In present paper, we aim to which properties can be preserved by suitable extension. For dynamical system ( X , G ? ) prove that shadowing property implies it factor inverse limit subshifts with property. Moreover, if totally disconnected, extension conjugate. Besides, transitivity (or mixng) mixng, respecti...

This paper focuses on the sensitivity analysis of coupled nonlinear dynamical systems, which under certain conditions exhibit the chaotic behavior. Sensitivity functions calculated via conventional methods of sensitivity analysis are inherently uninformative and inconclusive. The use of the pseudo-orbit shadowing property in dynamical systems allows calculating sensitivity functions correctly a...

This paper focuses on semistability and finite-time semistability for discontinuous dynamical systems. Semistability is the property whereby the solutions of a dynamical system converge to Lyapunov stable equilibrium points determined by the system initial conditions. In this paper, we extend the theory of semistability to discontinuous autonomous dynamical systems. In particular, Lyapunov-base...

We consider statistical attractors of locally typical dynamical systems and their “ε-invisible” subsets: parts of the attractors whose neighborhoods are visited by orbits with an average frequency of less than ε ≪ 1. For extraordinarily small values of ε (say, smaller than 2−10 6 ), an observer virtually never sees these parts when following a generic orbit. A trivial reason for ε-invisibility ...

Certain class of communication protocols is well modeled by dynamical systems on torus-like spaces. If m agents/processes communicate/cooperate in a system then it can be modeled by a dynamical system on mdimensional torus-like space. No mathematical machinery is known for analysis of these models for m>3. In this paper we suggest a method of investigation of certain properties of these systems...