Consider a Dynamical system x'=F(x,µ) such that its linear part has a pair of imaginary eigenvalues and one zero eigenvalue (Hopf zero singularity). Recently, the simplest normal form for this singular system has been obtained by sl(2) Lie algebra theory and the decomposition of space into three invariant subspaces. The normal form of this singular system is divided into three general cases. In...

Introduction: The emergence of form-based codes (FBCs), along with the familiar and near-universal rejection of conventional zoning, is a complex story, and more interesting than might first be supposed. The Codes Study generally does not track developer-driven form-based codes. The socio-economic context of form-based codes has shown positive FBC impacts on physical and environmental well-bein...

Human behaviors and activities of individuals are created in urban spaces, and cultural and social relationships are formed in these spaces. Considering the main source of insecurity among citizens in the cities and the important factors such as the physical form of the city, urban structures and the shape of buildings in this case, the purpose of the study is to measure the effect of the sense...