Analytical Conditions for the Existence of a Homoclinic Loop in Chua Circuits

We analyze a third-order piecewise-linear system that describes the operation of an electronicoscillator. This system can be used to investigate various scenarios for the onset of chaos, in particular, through separatrix loop destruction. Necessary and sufficient conditions are obtained for the existence of an equilibrium separatrix loop. Calculation of critical parameters is illustrated.     

Spectroscopic Calculation of CH Bond Dissociation Energies for Aliphatic Nitriles

The CH bond dissociation energies were calculated spectroscopically for acetonitrile, propionitrile, isobutyronitrile, and trimethylacetonitrile from the fundamental absorption bands in the anharmonic approximation using the variational technique with the Morse-harmonic basis set. A similar calculation was carried out for various associates of acetonitrile. Due to this, CH bond dissociation energies were determined for the liquid state of acetonitrile.Original Russian Text Copyright © 2004 by L. A. Gribov, I. A. Novakov, A. I. Pavlyuchko, V. V. Korolkov, and B. S. Orlinson__________Translated from Zhurnal Strukturnoi Khimii, Vol. 45, No. 5, pp. 816–821, September–October, 2004.     

Investigation of the tautomeric equilibrium of some phenylazonaphthols

The tautomeric equilibrium of phenylazonaphthols was investigated by the HMO method and by IR spectroscopy. It was found that in the case of 4-phenylazo-1-naphthol the thermodynamic stability of the tautomers was approximately the same, in the case of 1-phenylazo-2-naphthol the naphthoquinone hydrazone tautomer was substantially more stable.     

Investigation of electrical resistivity and average magnetic moment per atom of Ni3(Fe,Ti) and Ni3(Mn,Ti) alloys

The electrical resistivity and average magnetic moment per atom of Ni₃(Fe, Ti) and Ni₃(Mn, Ti) alloys were measured. X-ray structural analysis revealed the presence of the Ni₃Ti phase in Ni₃(Fe+7% Ti) and Ni₃(Fe + 10.3% Ti), and strong interaction of Ni and Ti is deduced. The introduction of Ti into Ni₃Mn reduces the antiferromagnetic Mn-Mn interaction and thus leads to greater ordering.Deceased.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 9–12, May, 1981.     

Influence of doping with titanium on the electronic structure of Ni3Fe and Ni3Mn in ordering

The specific electrical resistance , mean magnetic moment of an atom of the alloy, and the anomalous Hall (R_s) and Nernst-Ettinghausen (Q_s) constants of ordered alloys Ni₃(Fe, Ti) and Ni₃(Mn, Ti) are investigated. It is suggested that there is an additional degree of delocalization of the 3d electrons of the system Ni₃(Mn, Ti) and increase in the degree of localization of 3d electrons of the system Ni₃(Fe, Ti) with small additions of Ti, with increase in the long-range-order parameter. A model of the electronic structure of the given alloys is discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 56–59, October, 1981.     

A new method for reconstructing medium inhomogeneities using Rayleigh waves: Case studies

The problem of reconstructing local low-contrast inhomogeneities in the Earth’s surface layers by means of coherent Rayleigh surface waves is considered. It is shown that analysis of the frequency characteristics of shear projections in this wave on the surface allows construction of the function of inhomogeneity distribution in a specified depth range. The results from seismoacoustic reconstruction of inhomogeneities correlate with data obtained using standard geophysical methods and are confirmed by direct observations.     

Hamiltonian for rovibrational spectra of “hot” molecules

A variational method based on the determination of rotation as a state with a constant angular momentum has been proposed for calculating rovibrational energy levels of a polyatomic molecule. By using this method, energy level values can be determined for any vibrational state with arbitrary values of vibrational quantum numbers. This makes it possible to calculate the rovibrational energy levels of the “hot” molecules.