The method of triangular functions (TF) could be a generalization form of the functions of block-pulse (Bp)‎. ‎The solution of second kind integral equations by using the concept of TF would lead to a nonlinear equations system‎. ‎In this article‎, ‎the obtained nonlinear system has been solved as a dynamical system‎. ‎The solution of the obtained nonlinear system by the dynamical system throug...

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...

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...

Embodiment and situatedness are now common themes in cognitive science1. Recently, Andy Clark drew attention to three controversial ‘radical embodiment’propositions often found in current research2: (1) understanding the complex interplay of brain, body and world requires the tools and methods of nonlinear dynamical systems theory; (2) traditional notions of representation and computation are i...

It is shown that the modulus of any graded or, more generally, twisted KMS functional of a C {dynamical system is proportional to an ordinary KMS state and the twist is weakly inner in the corresponding GNS{representation. If the functional is invariant under the adjoint action of some asymptotically abelian family of automorphisms, then the twist is trivial. As a consequence, such functionals ...

It is shown that the modulus of any graded or, more generally, twisted KMS functional of a C∗–dynamical system is proportional to an ordinary KMS state and the twist is weakly inner in the corresponding GNS–representation. If the functional is invariant under the adjoint action of some asymptotically abelian family of automorphisms, then the twist is trivial. As a consequence, such functionals ...

We consider the dynamical evolution of bound, hierarchical triples of supermassive black holes that might be formed in the nuclei of galaxies undergoing sequential mergers. The tidal force of the outer black hole on the inner binary produces eccentricity oscillations through the Kozai mechanism, and this can substantially reduce the gravitational wave merger time of the inner binary. We numeric...

in this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. we extract the information function ofan ergodic dynamical system (x,t) from the relative information of t fromthe view point of observer χx, where x denotes the base space of the system.we also generalize the inv...

Epistemologically speaking, second language acquisition research (SLAR) might be reconsidered from a complex dynamical system view with interconnected aspects in the ecosystem of language acquisition. The present paper attempts to introduce the tenets of complex system theory and its application in SLAR. It has been suggested that the present dominant traditions in language acquisition research...