Sensitivity and chaos on product and on hyperspatial semiflows
Rahul Thakur, Ruchi Das
Abstract
We study stronger forms of sensitivity on the arbitrary product of semiflows on Hausdorff uniform spaces. Moreover, Devaney chaos, Poincaré chaos, and their related properties are studied on product semiflows. Furthermore, we study relations between the chaos-related properties of a semiflow and that of its induced hyperspatial semiflow. Some results regarding stronger forms of sensitivity are also obtained on hyperspatial semiflows.
Topics & Concepts
MathematicsSensitivity (control systems)CHAOS (operating system)Product (mathematics)Pure mathematicsHausdorff spaceMathematical analysisGeometryComputer scienceComputer securityEngineeringElectronic engineeringMathematical Dynamics and FractalsAdvanced Differential Equations and Dynamical SystemsFunctional Equations Stability Results