We show the hyperbolicity of the Feigenbaum fixed point using the inflexibility of the Feigenbaum tower, the Manẽ-Sad-Sullivan λLemma and the existence of parabolic domains (petals) for semi-attractive fixed points.

classical trajectory (monte carlo) calculation is used to calculate collision rate constants of ion-quadrupolar molecule interactions for the h¯+c2h2 system. the method presented here takes into account the effect of the induced dipole-induced dipole potential on ion-quadrupolar molecule collision rate constants. it is also assumed that the colliding particles have a definite size. the thermal ...

16. Wickelgren, W. A. Acoustic s i m i l a r i t y andi n t r u s i o n e r ro rs in shor t te rm memory.J. exp. Psycho l . , 1965, 70, 102-108. (a) 17. Wickelgren, W. A. Shortterm memory fo rphonemical ly s i m i l a r l i s t s . Amer. J .Psycho l . , 1965, 78, 567-574. (b) 18. Baddeley, A. D. Short term memory f o r wordsequences as a f unc t i on of acoust ic , semantic<...

We consider complex polynomials f (z) = z ℓ + c1 for ℓ ∈ 2N and c1 ∈ R, and find some combinatorial types and values of ℓ such that there is no invariant probability measure equivalent to conformal measure on the Julia set. This holds for particular Fibonacci-like and Feigenbaum combinatorial types when ℓ sufficiently large and also for a class of 'long–branched' maps of any critical order.

the automobile industry’s wastewater not only contains high levels of suspended and total solids such as oil, grease, dyestuff, chromium, phosphate in washing products, and coloring, at various stages of chassis manufacturing but also, a significant amount of dissolved organics,resulting in high bod or cod loads. suspended solids can be removed from the wastewater by chemical precipitation. h...

in atom transfer radical polymerization (atrp) of methyl acrylate (ma) with polyvinyl acetate macroinitiator in bulk at 90°c the plots of ln [m]0/[m] increased linearly with reaction time. the apparent propagation rate constant (kp app) of the reaction was obtained from the linear curve and used to calculate the free macroradical concentration ([r°]) in polymerization medium. the [r°] and also ...

One of the most important mathematical constants is Euler-Mascheroni constant that is the limit of the sequence --------------------------------  and is denoted by gamma. Some other developed constants known as Euler type constants are introduced in order to generalize the above constant. In the present paper, inspired by the functional sequence derivative of the limit summand of functions (i...

In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial and show that the Julia set of the Feigenbaum quadratic polynomial is connected and locally connected.

We consider complex polynomials f (z) = z ℓ + c1 for ℓ ∈ 2N and c1 ∈ R, and find some combinatorial types and values of ℓ such that there is no invariant probability measure equivalent to conformal measure on the Julia set. This holds for particular Fibonacci-like and Feigenbaum combinatorial types when ℓ sufficiently large and also for a class of 'long–branched' maps of any critical order.

Bringing closure to the host of open questions posed by the current Standard Model for particle physics (SM) continues to be a major challenge for theoretical physics community. Motivated by recent advances in the study of complex systems, our work suggests that the pattern of particle masses and gauge couplings emerges from the critical dynamics of renormalization group equations. Using the ε-...