AbouBenAdhem@lemmy.world to Ask Science@lemmy.worldEnglish · 2 months ago1D dynamical systems can have attractors, 2D systems can have cycles, and 3D systems can have chaos. Is there a distinct behavior that only arises in 4D systems?message-squaremessage-square15linkfedilinkarrow-up125arrow-down10
arrow-up125arrow-down1message-square1D dynamical systems can have attractors, 2D systems can have cycles, and 3D systems can have chaos. Is there a distinct behavior that only arises in 4D systems?AbouBenAdhem@lemmy.world to Ask Science@lemmy.worldEnglish · 2 months agomessage-square15linkfedilink
minus-squareEq0@literature.cafelinkfedilinkEnglisharrow-up1·25 days agoI guess one would not have 2D flat strange attractors like the Lorentz butterfly, but the chaotic region must then be at least 3D (two expanding directions + the time direction)
minus-squareAbouBenAdhem@lemmy.worldOPlinkfedilinkEnglisharrow-up1·25 days agoYeah, that’s my understanding.
I guess one would not have 2D flat strange attractors like the Lorentz butterfly, but the chaotic region must then be at least 3D (two expanding directions + the time direction)
Yeah, that’s my understanding.