Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 13 March 2020Accepted: 27 January 2021Published online: 01 June 2021Keywordsrandom dynamical systems, rough path theory, Wong--Zakai approximationsAMS Subject HeadingsPrimary, 60H10, 34F05; Secondary, 37H05Publication DataISSN (online): 1536-0040Publisher: Society for Ind...

Contraction theory for dynamical systems on Euclidean spaces is well-established. For contractive (resp. semicontractive) systems, the distance semidistance) between any two trajectories decreases exponentially fast. partially each trajectory converges fast to an invariant subspace. In this article, we develop contraction Hilbert spaces. First, provide a novel integral condition contractivity, ...

This paper considers the qualitative behaviour of flow in a neighbourhood closed invariant sets dynamical systems. The properties compactness, invariance, and connectivity pseudo-prolongations are investigated. A rather deep analysis vicinity compact set asymptotically phase spaces is presented. connection pseudo-prolongation with first positive prolongation T. Ura weakly elliptic points refined.

Walking, as an important transportation mode, plays a large part in urban transportation systems. This mode is of great importance for planners and decision-makers because of its impact on environmental and health aspects of communities. However, this mode is so complex in nature that makes it difficult to study or model. On the other hand, chaos theory studies complex dynamical nonlinear syste...