Families of Halo-like invariant tori around $$L_2$$ in the Earth-Moon Bicircular Problem

On the vertical families of two-dimensional tori near the triangular points of the Bicircular problem

Construction of Invariant Tori around Closed Orbits

The approach and methods introduced by McGill & Binney and Kaasalainen & Binney (Papers I and III), for the construction of phase-space tori that are approximate invariant tori of a given Hamiltonian, are generalized to include motion`trapped' around general closed orbits. This is accomplished by introducing point transformations that map the connguration space around a closed orbit in the targ...

Ringel’s Generalized Earth-moon Problem

A graph G has surface thickness n (S-thickness n) with respect to the surface S, if G can be decomposed into n and no fewer subgraphs by making n copies of the vertex set of G and then assigning each edge of G to one of the n copies so that n graphs result; each resulting subgraph of G must be S embeddable. The chromatic number of a graph G, denoted χ(G), is simply the fewest number of colors n...

the problem of divine hiddenness

این رساله به مساله احتجاب الهی و مشکلات برهان مبتنی بر این مساله میپردازد. مساله احتجاب الهی مساله ای به قدمت ادیان است که به طور خاصی در مورد ادیان ابراهیمی اهمیت پیدا میکند. در ادیان ابراهیمی با توجه به تعالی خداوند و در عین حال خالقیت و حضور او و سخن گفتن و ارتباط شهودی او با بعضی از انسانهای ساکن زمین مساله ای پدید میاید با پرسشهایی از قبیل اینکه چرا ارتباط مستقیم ویا حداقل ارتباط وافی به ب...

On Analytic Families of Invariant Tori for Pdes

Abstract. — We propose to apply a version of the classical Stokes expansion method to the perturbative construction of invariant tori for PDEs corresponding to solutions quasiperiodic in space and time variables. We argue that, for integrable PDEs all but finite number of the small divisors arising in the perturbative analysis cancel. As an illustrative example we establish such cancellations f...