We provide a rigorous treatment of continuous limits for various generalizations the pentagram map on polygons in RPd by means quantum calculus. Describing this limit detail case short-diagonal map, we verify that construction yields (2,d+1)-KdV equation, and moreover, Lax form is proved to become representation corresponding KdV system. More generally, introduce χ-pentagram geometric defining ...

We show that the dynamics of sufficiently dissipative semi-Siegel complex Hénon maps with golden-mean rotation number is not J-stable in a very strong sense. By work Dujardin and Lyubich, this implies Newhouse phenomenon occurs for dense Gδ set parameters family. Another consequence Julia sets such are disconnected parameters.

In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...