We analyze the homoclinic tangle of forced, damped, two dimensional dynamical systems, which are nearly Hamiltonian. This paper consists of three parts; In the rst part, we construct homoclinic bifurcation diagrams and curves in the near integrable case, using perturbational methods, and supply the geometrical interpretation of these homoclinic bifurcations. In the second part, we construct sym...

This paper is concerned with the oscillatory behavior of first-order delay differential equations of the form x′(t) + p(t)x(τ(t)) = 0, t ≥ t0, (1) where p, τ ∈ C([t0,∞),R),R = [0,∞), τ(t) is non-decreasing, τ(t) < t for t ≥ t0 and limt→∞ τ(t) =∞. Let the numbers k and L be defined by

We investigate stability of a gravitationally collapsing iron core against non-spherical perturbation. The gravitationally collapsing iron core is approximated by a similarity solution for dynamically collapsing polytropic gas sphere. We find that the similarity solution is unstable against non-spherical perturbations. The perturbation grows in proportion to (t − t0) −σ while the the central de...

In the present paper we introduce and study L-pre-T0-, L-pre-T1-, L-pre-T2 (L-pre-Hausdorff)-, L-pre-T3 (L-preregularity)-, L-pre-T4 (L-pre-normality)-, L-pre-strong-T3-, L-pre-strong-T4-, L-pre-R0-, L-pre-R1-separation axioms in (2, L)-topologies where L is a complete residuated lattice. Sometimes we need more conditions on L such as the completely distributive law or that the ”∧” is distribut...

Diabetes mellitus leads to increased Advanced Glycation End Products (AGE) production, which has been associated with secondary diabetic complications. Type 1 diabetic patients undergoing pancreas-kidney transplantation (SPKT) can restore normoglycemia and renal function, eventually decreasing AGE accumulation. We aimed to prospectively study AGE evolution after SPKT. Circulating AGE were asses...

Let E be a real Banach space. We study the Ornstein-Uhlenbeck semigroup P = {P (t)}t≥0 associated with the Ornstein-Uhlenbeck operator Lf(x) = 1 2 TrQDf(x) + 〈Ax,Df(x)〉, x ∈ E. Here Q ∈ L (E, E) is a positive symmetric operator and A is the generator of a C0-semigroup S = {S(t)}t≥0 on E. Under the assumption that P admits an invariant measure μ∞ we prove that if S is eventually compact and the ...

The electrochemical conversion of excess CO2 into valuable chemicals, such as carbon monoxide (CO) and formic acid (HCOOH) offers the possibility combating climate change, while simultaneously providing sustainable raw materials for chemical industry. system design choice has large implications economic competitiveness processes. impact low-temperature electrolyser on potential CO HCOOH product...

This paper intends to investigate the existence of uncountably many bounded positive solutions of a third order nonlinear neutral delay differential equation d dt { r1(t) d dt [ r2(t) d dt ( x(t)− f(t, x(t− σ)) )]} + d dt [ r1(t) d dt g(t, x(p(t))) ] + d dt h(t, x(q(t))) = l(t, x(η(t))), t ≥ t0 in the following bounded closed and convex set Ω(a, b) = { x(t) ∈ C([t0,+∞),R) : a(t) ≤ x(t) ≤ b(t), ...

The itinerant electron metamagnetism (IEM) is an essential physical concept, describing magnetic properties of rare earth - transition metal (R-TM) intermetallics, demonstrating technologically important giant magnetoresistance and magnetocaloric effects. It considers an appearance of TM magnetization induced by spontaneous magnetization of surrounding R atoms, which provides significant respon...

Population structure, growth, length-weight relationship and reproduction characteristics of leaping grey mullet (Liza saliens (Risso, 1810) were investigated in Beymelek Lagoon from February 2006 to January 2007.  During the study, a total of 1248 leaping grey mullet were captured by gill- and trammel nets of various mesh sizes. Male to female ratio for leaping grey mullet population in Beymel...