One mechanism of appearance of a spiral quasiattractor involving heteroclinic contours

AbstractBifurcations and the structure of limit sets are studied for a three-dimensional van der Pol-Duffing system with a cubic nonlinearity. On a base of both computer simulations and theoretical results a model map is proposed which allows one to follow the evolution in the phase space from a simple (Morse-Smale) structure to chaos. It is established that appearance of complex, multistructural set of double-scroll type is stipulated by the presence of a heteroclinic orbit of intersection of the unstable manifold of a saddle periodic orbit and stable manifold of an equilibrium state of saddle-focus type

Piezoelectric Characteristics of LiNbO3 Thin-film Heterostructures via Piezoresponse Force Microscopy

Electro-optic LiNbO3 thin films were deposited on Si(100) and Si(111) substrates using a radio-frequency magnetron sputtering process. The piezoelectric properties of the LiNbO3 films were investigated using the scanning probe microscopy in the piezoresponse mode. The obtained results show the high degree of grains orientation in polycrystalline structure. The piezoelectric modulus (dzz) was estimated to be 16 pm/V (for LiNbO3 / Si(100)) and 22 pm/V (for LiNbO3 / Si(111)) and the polarization about of 0.37 C·m – 2. These values are larger than those reported previously for LiNbO3 films. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3366

Spontaneous emission rate of an excited atom placed near a nanofiber

The spontaneous decay rates of an excited atom placed near a dielectric cylinder are investigated. A special attention is paid to the case when the cylinder radius is small in comparison with radiation wavelength (nanofiber or photonic wire). In this case, the analytical expressions of the transition rates for different orientations of dipole are derived. It is shown that the main contribution to decay rates is due to quasistatic interaction of atom dipole momentum with nanofiber and the contributions of guided modes are exponentially small. On the contrary, in the case when the radius of fiber is only slightly less than radiation wavelength, the influence of guided modes can be substantial. The results obtained are compared with the case of dielectric nanospheroid and ideally conducting wire.Comment: 19 pages, 16 Postscript figure

Symbolic Toolkit for Chaos Explorations

New computational technique based on the symbolic description utilizing kneading invariants is used for explorations of parametric chaos in a two exemplary systems with the Lorenz attractor: a normal model from mathematics, and a laser model from nonlinear optics. The technique allows for uncovering the stunning complexity and universality of the patterns discovered in the bi-parametric scans of the given models and detects their organizing centers -- codimension-two T-points and separating saddles.Comment: International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012

The use of electron linacs for detection of C-, N-, O- containing substances

The detection of concealed explosives (CE) has presently become the burning problem for the mankind. In particular, the problem is related to both clearing the open country of plastic mines and the detection of any CE, drugs, etc. The creation of compact 60...100 MeV electron accelerators makes it possible to produce sharply directed bremsstrahlung beams. For identification of ¹⁴N nuclei as main CE constituents, the following reactions are used with production of ¹²B and ¹²N. Electrons were accelerated up to energies between 22 and 40 MeV at a pulse length of 3.8 µs, a pulse-repetition frequency from 6.25 to 50 Hz, and a pulse current of ~20 mA. The bremsstrahlung gamma-rays were detected by a NaJ(TL) detector. Carbamide [(NH₂)₂CO] was used as a nitrogen target. For identification of ¹²N and ¹²B decay curves were measured. The signal/noise was 5. Results suggest the conclusion that the present method of detecting CE and C-,N-,O- containing substances has encouraging prospects.Проблема виявлення прихованих вибухових речовин (ВР) придбала в даний час для людства надзвичайну актуальність. Це пов'язано з розмінуванням на відкритій місцевості безкорпусних мін і виявленням ВР будь-якого типу в тому числі й інших речовин, що містять C-,N-,O-. Створення компактних прискорювачів електронів з енергією 60...100 МеВ дозволяє одержати вузькоспрямовані пучки гальмівних γ-квантів. Для ідентифікації ядер ¹⁴N - основного компонента ВР використовуються реакції з утворенням ¹²В і ¹²N. Електрони прискорювалися до енергій 22...40 МеВ, при тривалості імпульсу 3,8 мкс, частоті проходження від 6,25 до 50 Гц і току в імпульсі ~20 мА. Гальмівне γ-випромінювання реєструвалося детектором Na(Tl). Як азотна мішень використовувався карбамід [(NH₂)₂CO]. Для ідентифікації ¹²В і ¹²N були обмірювані криві розпаду. Співвідношення сигнал/шум складало 5. Результати дозволяють зробити висновок, що даний засіб виявлення ВР і інших речовин, що містять C-,N-,O-, має підбадьорюючі перспективи.Проблема обнаружения скрытых взрывчатых веществ (ВВ) приобрела в настоящее время для человечества чрезвычайную актуальность. Это связано с разминированием на открытой местности бескорпусных мин и обнаружением ВВ любого типа, в том числе и других C-, N-, O- -содержащих веществ. Создание компактных ускорителей электронов с энергией 60...100 МэВ позволяет получить узконаправленные пучки тормозных γ-квантов. Для идентификации ядер ¹⁴N – основного компонента ВВ, используются реакции с образованием ¹²В и ¹²N. Электроны ускорялись до энергий 22...40 МэВ, при длительности импульса 3,8 мкс, частоте следования от 6,25 до 50 Гц и токе в импульсе ~20 мА. Тормозное γ–излучение регистрировалось детектором NaI(Tl).В качестве азотной мишени использовался карбамид [(NH₂)₂CO]. Для идентификации ¹²В и ¹²N были измерены кривые распада. Соотношение сигнал/шум составляло 5. Результаты позволяют сделать вывод, что данный способ обнаружения ВВ и других C-,N-,O- -содержащих веществ имеет обнадеживающие перспективы

Metallo-dielectric diamond and zinc-blende photonic crystals

It is shown that small inclusions of a low absorbing metal can have a dramatic effect on the photonic band structure. In the case of diamond and zinc-blende photonic crystals, several complete photonic band gaps (CPBG's) can open in the spectrum, between the 2nd-3rd, 5th-6th, and 8th-9th bands. Unlike in the purely dielectric case, in the presence of small inclusions of a low absorbing metal the largest CPBG for a moderate dielectric constant (epsilon<=10) turns out to be the 2nd-3rd CPBG. The 2nd-3rd CPBG is the most important CPBG, because it is the most stable against disorder. For a diamond and zinc-blende structure of nonoverlapping dielectric and metallo-dielectric spheres, a CPBG begins to decrease with an increasing dielectric contrast roughly at the point where another CPBG starts to open--a kind of gap competition. A CPBG can even shrink to zero when the dielectric contrast increases further. Metal inclusions have the biggest effect for the dielectric constant 2<=epsilon<=12, which is a typical dielectric constant at near infrared and in the visible for many materials, including semiconductors and polymers. It is shown that one can create a sizeable and robust 2nd-3rd CPBG at near infrared and visible wavelengths even for a photonic crystal which is composed of more than 97% low refractive index materials (n<=1.45, i.e., that of silica glass or a polymer). These findings open the door for any semiconductor and polymer material to be used as genuine building blocks for the creation of photonic crystals with a CPBG and significantly increase the possibilities for experimentalists to realize a sizeable and robust CPBG in the near infrared and in the visible. One possibility is a construction method using optical tweezers, which is analyzed here.Comment: 25 pp, 23 figs, RevTex, to appear in Phys Rev B. For more information look at http://www.amolf.nl/research/photonic_materials_theory/moroz/moroz.htm

Recent Advances in Understanding Particle Acceleration Processes in Solar Flares

We review basic theoretical concepts in particle acceleration, with particular emphasis on processes likely to occur in regions of magnetic reconnection. Several new developments are discussed, including detailed studies of reconnection in three-dimensional magnetic field configurations (e.g., current sheets, collapsing traps, separatrix regions) and stochastic acceleration in a turbulent environment. Fluid, test-particle, and particle-in-cell approaches are used and results compared. While these studies show considerable promise in accounting for the various observational manifestations of solar flares, they are limited by a number of factors, mostly relating to available computational power. Not the least of these issues is the need to explicitly incorporate the electrodynamic feedback of the accelerated particles themselves on the environment in which they are accelerated. A brief prognosis for future advancement is offered.Comment: This is a chapter in a monograph on the physics of solar flares, inspired by RHESSI observations. The individual articles are to appear in Space Science Reviews (2011

Partial symmetry breaking and heteroclinic tangencies

We study some global aspects of the bifurcation of an equivariant family of volume-contracting vector fields on the three-dimensional sphere. When part of the symmetry is broken, the vector fields exhibit Bykov cycles. Close to the symmetry, we investigate the mechanism of the emergence of heteroclinic tangencies coexisting with transverse connections. We find persistent suspended horseshoes accompanied by attracting periodic trajectories with long periods

Національна доповідь про стан і перспективи розвитку освіти в Україні: монографія (До 30-річчя незалежності України)

The publication provides a comprehensive analysis of the state and development of national education over the 30 years of Ukraine’s independence, identifies current problems in education, ascertains the causes of their emergence, offers scientifically reasoned ways to modernise domestic education in the context of globalisation, European integration, innovative development, and national self-identification. Designed for legislators, state officials, education institutions leaders, teaching and academic staff, the general public, all those who seek to increase the competitiveness of Ukrainian education in the context of civilisation changes.У виданні здійснено всебічний аналіз стану і розвитку національної освіти за 30-річний період незалежності України, визначено актуальні проблеми освітньої сфери, виявлено причини їх виникнення, запропоновано науково обґрунтовані шляхи модернізації вітчизняної освіти в умовах глобалізації, європейської інтеграції, інноваційного розвитку та національної самоідентифікації. Розраховано на законодавців, державних управлінців, керівників закладів освіти, педагогічних і науково-педагогічних працівників, широку громадськість, усіх, хто прагне підвищення конкурентоспроможності української освіти в контексті цивілізаційних змін