Структура решений и динамический хаос в нелинейных дифференциальных уравнениях

The structure of solutions in nonlinear dissipative dynamical systems described by differ-ential equations, including systems with chaotic behavior is considered. It is shown that thestructure of the solutions in these systems is provided by either set of limit cycles, or tori, andis determined by the spectrum of Floquet Exponents. Important role in forming of structuresplay limit cycles having a complex but not complex conjugate Floquet Exponents. Exam-ples of using the concept of the structure of solutions of nonlinear differential equations inthe study of the formation of solitary traveling waves and the phenomenon of turbulence arepresented.Рассмотрена структура решений нелинейных диссипативных систем дифференциальных уравнений, включая системы дифференциальных уравнений с хаотическим поведением. Показано, что структура решений таких систем, представленная предельными циклами или инвариантными торами, определяется спектром показателей Флоке. Важную роль в формировании структуры решений вещественных нелинейных систем играют предельные циклы, имеющие комплексные, но не комплексно сопряжённые показатели Флоке. Приведены примеры использования понятия структуры решений нелинейных дифференциальных уравнений при исследовании образования уединённых бегущих волн и явления турбулентности

Algorithm of realization of the problem of double-arc welding with coated electrodes of different types

In the article the algorithm of realization of a problem of two-arc welding by the covered electrodes of different types is considered. When burning two welding arcs from electrodes of different composition into one welding bath, we change the chemical composition of the deposited metal. Thus, without creating new electrodes, we obtain the required chemical composition of the weld metal and weld. The study of the possibility of obtaining samples for the analysis of the chemical composition of the deposited metal, an arc of indirect action. This method can reduce the cost of welding materials in the process of obtaining samples, as well as reduce the complexity and energy intensity of the work

Perspective Method of Betavoltaic Converter Creation

Some results on planar diode structure creation by the method of a plasma-immersion ion implantation is presented in this paper. Obtained leakage current ~ 1 uA/cm2 at reverse voltage – 1 V. The cryogenic plasmochemical silicon etching process is developed, able to form the structured silicon layer with system of deep holes with high aspect ratio

Radiative decays of light vector mesons

The new data on $\rho,\omega,\phi$ radiative decays into $\pi^0\gamma,\eta\gamma,\eta'\gamma$ from SND experiment at VEPP-2M $e^+e^-$ collider are presented.Comment: 5 pages, 2 figures, talk given at 8th International Conference on Hadron Spectroscopy (HADRON 99), Beijing, China, 24-28 Aug 199

Search for direct production of a2(1320) and f2(1270) mesons in e+e- annihilation

A search for direct production of C-even resonances a2(1320) and f2(1270) in e+e- annihilation was performed with SND detector at VEPP-2M e+e- collider. The upper limits of electronic widths of these mesons were obtained at 90% confidence level: Gamma(a2(1320) \to e+e-) < 0.56 eV, Gamma(f2(1270) \to e+e-) < 0.11 eV.Comment: 6 pages, 5 figures, 1 table. Submitted to Phys. Lett.

The process e+e−→π+π−π0e^+e^-\to\pi^+\pi^-\pi^0 in the energy range 2E_0=1.04 - 1.38 GeV

In the experiment with the SND detector at VEPP-2M e^+e^- collider the process $e^+e^-\to\pi^+\pi^-\pi^0$ was studied in the energy range 2E_0 from 1.04 to 1.38 GeV. A broad peak was observed with the visible mass $M_{vis}=1220\pm 20$ MeV and cross section in the maximum $\sigma_0\simeq 4$ nb. The peak can be interpreted as a $\omega$-like resonance $\omega (1200)$.Comment: 10 pages LATEX and 5 figure

New experimental data for the decays ϕ→μ+μ−\phi\to\mu^+\mu^- and ϕ→π+π−\phi\to\pi^+\pi^- from SND detector

The processes $e^+e^-\to\mu^+\mu^-$ and $e^+e^-\to\pi^+\pi^-$ have been studied with SND detector at VEPP-2M $e^+e^-$ collider in the vicinity of $\phi(1020)$ resonance. The branching ratios $B(\phi\to\mu^+\mu^-)=(3.30\pm 0.45\pm 0.32)\times 10^{-4}$ and $B(\phi\to\pi^+\pi^-)=(0.71\pm 0.11\pm 0.09)\times 10^{-4}$ were obtained.Comment: 5 pages, 4 figures, talk given at 8th International Conference on Hadron Spectroscopy (HADRON 99), Beijing, China, 24-28 Aug 199

Experimental Study of rho -> pi0 pi0 gamma and omega -> pi0 pi0 gamma Decays

The e+e- -> pi0 pi0 gamma process was studied in the SND experiment at VEPP-2M e+e- collider in the energy region 0.60-0.97 GeV. From the analysis of the energy dependence of measured cross section the branching ratios B(omega -> pi0 pi0 gamma)= (6.6 +1.4-0.8(stat) +-0.6(syst))x10^-5 and B(rho -> pi0 pi0 gamma)=(4.1 +1.0-0.9(stat) +-0.3(syst))x10^-5 were obtained.Comment: 16 pages, 7 figures, submitted to Phys. Lett.