the main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. in this paper, the notion of  dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is...

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...

abstract introduction: neuro-occupation is one of the newest models in occupational therapy (ot). the nature of this model is based on the coexistence and dynamic interactions between brain’s neural system functions and engagement of an individual in occupations. neuro-occupation model holistically views the individual as a blending of neuroscience and occupation. the human brain is perceived t...

we establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. a corresponding novel neural network model, which is globally convergent and stable in the sense of lyapunov, is proposed. both theoretical and numerical approaches are considered. numerical simulations for three constrained nonlinear optimization problems a...

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 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.