Abstract | Keywords | Fulltext | Export | TOC

Abstract We study some chaotic properties on G-space, we prove if f is G-localy eventually onto then f is G-sensitive dependence on initial conditions, also if f is G-chain sensitive then is also G-chain sensitive when f ≈ h.Also we generalize some properties about G-blending.

ﺍﳋﻼﺻﺔ ﻓﺈﳖﺎ ﲤﺘﻠﻚ ﺣﺴﺎﺳﻴﺔ G-localy eventually، ﺑﺮﻫﻨﺎ ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﺪﺍﻟﺔ Gﺩﺭﺳﻨﺎ ﺑﻌﺾ ﺍﳋﻮﺍﺹ ﺍﻟﻔﻮﺿﻮﻳﺔ ﰲ ﻓﻀﺎﺀ ﺗﺮﺍﻓﻖ f ﻭﻛﺎﻧﺖ G، ﺃﻣﺎ ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﺪﺍﻟﺔ ﲤﺘﻠﻚ ﺣﺴﺎﺳﻴﺔ ﻣﺘﺴﻠﺴﻠﺔ ﰲ ﻓﻀﺎﺀ-Gﻣﻌﺘﻤﺪﺓ ﻋﲆ ﺍﻟﴩﻭﻁ ﺍﻻﺑﺘﺪﺍﺋﻴﺔ ﰲ ﻓﻀﺎﺀG ﺃﻳﻀﺎ ﲤﻠﻚ ﺣﺴﺎﺳﻴﺔ ﻣﺘﺴﻠﺴﻠﺔ. ﺃﺧﲑﺍ ﺑﺮﻫﻨﺎ ﺑﻌﺾ ﺍﳋﻮﺍﺹ ﺍﻟﻔﻮﺿﻮﻳﺔ ﺍﻟﺘﻲ ﲣﺺ ﺍﳋﻠﻂ-h ﻓﺈﻥ h

Chaotic properties --- Sensitive dependence function --- Chain sensitive function. --- ﺍﳋﻮﺍﺹ ﺍﻟﻔﻮﺿﻮﻳﺔ، ﺍﻟﺪﺍﻟﺔ ﻣﺘﻌﺪﺩﺓ ﺍﳊﺴﺎﺳﻴﺔ، ﺍﻟﺪﺍﻟﺔ ﺫﺍﺕ ﺍﳊﺴﺎﺳﻴﺔ ﺍﳌﺘﺴﻠﺴﻠﺔ.