(g, x) → gx : G × X → X such that ex = x for every x in X and g(hx) = (gh)x for g and h in G and x in X (here e denotes the neutral element of G). It is easily seen that for each g in G the map x → gx is a homeomorphism of X whose inverse is the map x → g−1x . If x belongs to X and U is a subset of G, then U x = {gx : g ∈ U}. The action of G on X is transitive if Gx = X for every x in X . It is...

In a non-complete graph $Gamma$, a vertex triple $(u,v,w)$ with $v$ adjacent to both $u$ and $w$ is called a $2$-geodesic if $uneq w$ and $u,w$ are not adjacent. The graph $Gamma$ is said to be   $2$-geodesic transitive if its automorphism group is transitive on arcs, and also on 2-geodesics. We first produce a reduction theorem for the family of $2$-geodesic transitive graphs of prime power or...

In this search, we review the relationship of Anosov diffeomorphism with hyperbolic dynamic systems, where present some definitions and basic observations it. We find that map possesses topological transitive sensitive dependence on initial conditions other tools chaos, therefore has chaotic properties by using many chaos.

maps are compatible with the inclusions P2n+1 →֒ P2n+3 so they extend to a map S : P∞ → K. Here by P∞ we understand the inductive limit of the sequence of inclusions Pi →֒ Pi+1. The construction and, as we will see later, some properties of the map S resemble those of the plat closure which sends braids with even number of strands to links. (For the definition and properties of the plat closure s...

e-Learning is able to realize effective education by low cost, it also has problem it is difficult to know for teacher situation of learners. As a related idea, concept map has been presented in pedagogical literature, and it can more easily and rapidly represent a part of learner’s understanding without written and oral examination. In our research, we have studied supporting individual learni...

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular frequency, but also it exists a very large number of nontransient transformations, possibly infinity. In cases where there is not phase synchronization there is eit...

I need to draw relational schema and dependency diagram showing transitive and partial Functional dependency and normalization for a relation schema. How can i map this part of the ER to relational schema and what can be the Relationship conceptual the basic elements of an ER diagram into the target schema language. relationship to a composite entity, To map a composite entity that Draw a relat...

Let X be a continuum and let φ:X→X homeomorphism. To construct dynamical system (X,φ) with interesting properties, the often needs to have some complicated topological structure. In this paper, we are interested in one such property: transitivity. By now, various examples of continua been constructed way that is transitive. Mostly, they not path-connected, as pseudo-arc or pseudo-circle, locall...

For two normal edge-transitive Cayley graphs on groups H and K which have no common direct factor and $gcd(|H/H^prime|,|Z(K)|)=1=gcd(|K/K^prime|,|Z(H)|)$, we consider four standard products of them and it is proved that only tensor product of factors can be normal edge-transitive.

darafsheh and assari in [normal edge-transitive cayley graphs onnon-abelian groups of order 4p, where p is a prime number, sci. china math. {bf 56} (1) (2013) 213$-$219.] classified the connected normal edge transitive and $frac{1}{2}-$arc-transitive cayley graph of groups of order$4p$. in this paper we continue this work by classifying theconnected cayley graph of groups of order $2pq$, $p > q...