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1.
F. Calogero 《Theoretical and Mathematical Physics》2007,152(1):882-893
We review recent results about classical isochronous systems characterized by the presence of an open (hence fully dimensional)
region in their phase space in which all their solutions are completely periodic (i.e., periodic in all degrees of freedom)
with the same fixed period (independent of the initial data provided they are inside the isochronicity region). We report
a technique for generating such systems, whose wide applicability justifies the statement that isochronous systems are not
rare. We also present an analogous technique applicable to a vast class of Hamiltonian systems and generating isochronous
Hamiltonian systems. We also report some results concerning the quantized versions of such systems. 相似文献
2.
Simone Calogero 《Journal of Differential Equations》2004,204(2):323-338
The Nordström-Vlasov system is a Lorentz invariant model for a self-gravitating collisionless gas. We establish suitable a priori bounds on the solutions of this system, which together with energy estimates and the smoothing effect of “momentum averaging” yield the existence of global weak solutions to the corresponding initial value problem. In the process we improve the continuation criterion for classical solutions which was derived recently. The weak solutions are shown to preserve mass. 相似文献
3.
We exhibit the Lax pair for the class of relativistic dynamical systems recently introduced by Ruijsenaars and Schneider, whose equations of motion read, whereB is an arbitrary constant and the Weierstrass elliptic function.For the 3 academic years 1983–1986 相似文献
4.
L. Stievano S. Calogero R. Psaro M. Guidotti R. Della Pergola F. E. Wagner 《Journal of Cluster Science》2001,12(1):123-137
193Ir and 57Fe Mössbauer spectroscopy was used to investigate the structure of the [Fe2Ir2(CO)12]2- cluster compound and the adsorption of this cluster on hydrated MgO. Supported samples were prepared by impregnation of the magnesia with solutions of [Et4N]2[Fe2Ir2(CO)12] in acetone. The Mössbauer and FT-IR spectra of the MgO-supported cluster confirm that the bimetallic carbonyl is molecularly physisorbed onto MgO without undergoing any transformation or decomposition. The easy solvent extraction of the intact cluster from the oxide surface excludes ion pairing between the cluster anion and the Mg2+ surface sites. Mössbauer spectra are in agreement with the refined structure of the molecular cluster and the temperature dependence of the 57Fe Mössbauer spectra above 80 K is consistent with the low degree of interaction of the cluster with the support. This technique, therefore, appears to be promising in order to infer structural information when X-ray determination fails. 相似文献
5.
Dr. Stefanie Neubauer Dr. Florian Rechenmacher Dr. Ambros J. Beer Dr. Flavio Curnis Karolin Pohle Dr. Calogero D'Alessandria Prof. Dr. Hans‐Jürgen Wester Prof. Dr. Ute Reuning Prof. Dr. Angelo Corti Prof. Dr. Markus Schwaiger Prof. Dr. Horst Kessler 《Angewandte Chemie (International ed. in English)》2013,52(44):11666-11666
6.
Francesco Calogero 《Journal of Nonlinear Mathematical Physics》2016,23(4):486-493
New solvable dynamical systems are identified and the properties of their solutions are tersely discussed. 相似文献
7.
We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two dimensional dynamical system and perform a global analysis of the flow. Among the admissible behaviors, we find solutions that are asymptotically de-Sitter both in the past and future time directions and which undergo accelerated expansion at all times. 相似文献
8.
Giuliano Bandoli Sandro Calogero Domenico Idá Giuseppe C. Pappalardo Giuseppe Scarlata 《Phosphorus, sulfur, and silicon and the related elements》2013,188(3):265-270
Abstract Crystals of 2-pyridyl-phenyl sulphone are monoclinic, space group P21/c, with eight molecules in the unit cell of dimensions a = 11.781, b = 5.903, c = 29.748 Å and B = 94.13°. The dihedral angles between the best planes of the two aromatic rings are significantly different in two crystallographically independent molecules (88.4° and 71.9° for molecule A and molecule B, respectively), as well as those between the CSC plane and the pyridine ring (59.4° and 67.4°) and between the CSC plane and the phenyl ring (51.7° and 81.8°). The average bond distances of interest include C?S 1.77(1) and S?O 1.44(1) Å; among the bond angles there are CSO = 108.1(7), CSC = 105.0(6) and OSO = 118.7(6)°. The packing of the molecule in the crystal is determined by the van der Waals interactions and by two intermolecular H?O contacts of 2.43 and 2.49 Å. The observed conformation in the solid state agrees well with results of previous investigations, in the solution state, by means of dipole moment method and theoretical M.O. calculations, for the analogous di-2-pyridyl sulphone. 相似文献
9.
10.
A. Calogero 《Journal of Geometric Analysis》2000,10(4):597-622
In the context of a general lattice Γ in Rn and a strictly expanding map M which preserves the lattice, we characterize all the wavelet families. This result generalizes
the characterization of Frazier, Garrigós, Wang, and Weis about the wavelet families with Γ = Zn and M = 21. In the second part of the paper, we characterize all the MSF wavelets. Moreover, we give a constructive method
for the support of the Fourier transform of an MSF wavelet and apply this method by giving examples with particular attention
to the quincunx lattice. 相似文献