Dissipative homoclinic loops of two‐dimensional maps and strange attractors with one direction of instability

We prove that when subjected to periodic forcing of the form certain two‐dimensional vector fields with dissipative homoclinic loops generate strange attractors with Sinai‐Ruelle‐Bowen measures for a set of forcing parameters (μ, ρ, ω) of positive Lebesgue measure. The proof extends ideas of Afraimovich and Shilnikov and applies the recent theory of rank 1 maps developed by Wang and Young. We prove a general theorem and then apply this theorem to an explicit model: a forced Duffing equation of the form © 2011 Wiley Periodicals, Inc.     

The structure of 32S I. Spectroscopy of highly-excited states

Assignments of I, π, T are made to 30 levels in ³²S between 7.35 and 11.76 MeV excitation energy, making the spectroscopy of the T= 0 states rather complete up to 10 MeV and that of the T = 1 states up to 12 MeV. A reassessment of existing data in the light of the new results clarifies the spectrum of I ^π = 1⁺, T = 1 states up to 15 MeV excitation energy. High-spin states (I = 52 - 7) below 10 MeV excitation energy have been investigated by n t γ angular-correlation measurements with the ²⁹Si(α, nγ) reaction at E _α 14.4 MeV. Five g-wave resonances of the ³¹P(p, γ) reaction, leading to the formation of I _π + 4⁺, 5⁺ states in ³²S, have been identified between 10 and 12 MeV excitation energy. The spectrum of T = 1 states between 10.7 and 12 MeV, has been investigated by measurements of γ-ray angular distributions on resonances of the ³¹P(p, γ) reaction and by measurements of resonance strengths. Several ³²S levels between 7.35 and 8.75 MeV excitation energy were studied as final states in resonance decays. Finally a search was performed for I ^π = 0⁺ resonances of the ²⁸Si(α, γ) reaction.     

The structure of28Si above 10 MeV excitation energy III: Level scheme and shell model interpretation

²⁸Si level scheme up to 14.5 MeV excitation energy is reevaluated using information from two preceding papers. It consists of approximately 250 levels which are almost completely characterized according to the quantum numbersI, π, T of the levels. The properties of positive-parity states are compared to the predictions of shell model calculations within the completes-d basis space using the unifieds-d shell Hamiltonian. A spectrum of 48 experimentalT=1 states between 9.3 and 16 MeV is reproduced with a rms deviation of only 150 keV. A calculation of radiative widths and γ-decay modes which uses free-nucleong-factors yields excellent agreement with experiment and confirms that quenching of M1 transitions is only marginal in²⁸Si. The detailed shell model analysis of theT=0 spectrum is extended to the limiting energy whereT=1 wave function admixtures, not contained in the theory, become important experimentally. This happens at 6–8 MeV above the yrast state, depending on the spin value. Altogether it appears that a spectrum of 171 levels below 14.5 MeV, which have positive or unassigned parity, is almost completely accounted for by the model. Apparent intruder states from outside thes-d shell space are observed atE _x =10 945 keV (I ^π=4⁺) and 12 860 keV (I ^π=6⁺) and are interpreted as members of aK ^π=0⁺ rotational band.     

Liquid scintillators X. Some aryl substituted phenanthrenes and dihydrophenanthrenes,and relatedp-terphenyls andp-quaterphenyls determination of Kallmann parameters

A number of new 2- and 2,7-aryl substituted phenanthrenes, 3,4-dihydrophenanthrenes, and 9,10-dihydrophenanthrenes, as well as some relatedp-quaterphenyls andp-terphenyls, were tested as liquid scintillation solutes. Also determined were the compounds' ultraviolet absorption spectra, ultraviolet-induced fluorescence spectra, and Kallmann parameters. On the basis of these measurements, it was possible to correlate to some degree structure and scintillation ability. Some interesting results regarding conjugation and co-planarity in the linear polyphenyls were also obtained.     

Low-temperature properties of CePd2In

We report measurements of the specific heatC _p(T), electrical resistivity ϱ(T) and magnetic susceptibility ξ(T) of hexagonal CePd₂In, at low temperatures. Anomalies inC _p(T), χ(T) and ϱ(T) atT=1.23 K, indicate a phase transition, most likely to an antiferromagnetically-ordered phase. The electronic entropy reachesR ln2 per mole Ce at 9.2K, suggesting that the phase transition involves a doublet state. The ordered phase coexists with moderately correlated itinerant electrons.     

Specific heat and electrical resistivity of CeCu6 below 1 k

Results of measurements of the electrical resistivity ? between 0.04 and 1 K and the specific heat c_p between 0.06 and 1 K of annealed polycrystalline CeCu₆ are reported. ? varies proportional to T² below 0.1 K but is linear in T above 0.6 K. The specific heat is proportional to T below 0.5 K and the electronic specific-heat parameter $\text{γ = 1.53}\text{J}\text{mole}\text{K}{}^2$.     

Experimentelle Untersuchung über die Viskosität von lufthaltigem Schmieröl

Zusammenfassung Bei Durchlaufschmierung von Gleitlagern ist das von der Pumpe geförderte und den Lagern zugeführte Öl häufig mit Luftbläschen durchsetzt. Für das Betriebsverhallten von derart geschmierten Lagern ist der Einfluss de Luftgehaltes auf die dynamische Viskosität des Gemisches wesentlich. In der vorliegenden Arbeit wird dieser Einfluss für ein gebräuchliches Turbomaschinen-Schmieröl an der laminaren Strömung in einem Kreisrohr theoretisch und experimentell untersucht. Es zeigte sich, dass bei tiefer Temperatur die Zähigkeit durch die Luftbeimischung reduziert und bei hoher Temperatur erhöht wird.

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Summary The lubricating oil for hydrodynamic bearings supplied by a pump is often containing air in the form of tiny bubbles. Thus the bearings are lubricated with an oil/air-mixture instead of pure oil. The performance of such bearings depends on the influence of the air contents on the dynamic viscosity of the oil/air-mixture. It is the purpose of this paper to determine this influence through a theoretical and experimental investigation, examining an average lubricating oil for turbomachinery at laminar flow in a circular tube. It was found that at low temperatures the viscosity is reduced by the addition of air in the oil, while with higher temperatures the viscosity is increased. By introducing a dimensionless characteristic number for the flow of the oil with air bubbles, the results of the investigation can be given in dimensionless form.