scholarly journals A Study on the Complexity of a New Chaotic Financial System

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Yi Liao ◽  
Yiran Zhou ◽  
Fei Xu ◽  
Xiao-Bao Shu
Keyword(s):  
Differential Equations ◽  
Numerical Simulations ◽  
Financial System ◽  
System Of Differential Equations ◽  
Bifurcation Diagrams ◽  
Complex Dynamic ◽  
System Parameters ◽  
Wide Range

The interaction of elements in a financial system can exhibit complex dynamic behaviours. In this article, we use a system of differential equations to model the evolution of a financial system and study its complexity. Numerical simulations show that the system exhibits a variety of rich dynamic behaviours, including chaos. Bifurcation diagrams show that the system behaves chaotically over a wide range of system parameters.

Determination of Gyroscopic Drifts Associated With Angular Support Motions

1970 ◽  
Vol 37 (2) ◽  
pp. 279-286
Author(s):  
R. A. Wenglarz
Keyword(s):  
Differential Equations ◽  
Digital Computer ◽  
Systematic Approach ◽  
Equations Of Motion ◽  
System Parameters ◽  
Constant Rate ◽  
Wide Range ◽  
Fixed Line

A previously proposed systematic approach for the analysis of gyroscopic drifts associated with angular support motions is further developed. For a wide range of support motions, the problem of determination of drifts is reduced to the evaluation of four integrals. The validity of the theory is tested by applying it to a gyroscope experiencing a constant rate about a fixed line and comparing the resulting predictions with those of digital computer solutions of the exact differential equations of motion, and formulas relating steady drifts to system parameters are presented.

scholarly journals Acceleration phase and improved rocket model for indirectly driven capsules

2004 ◽  
Vol 22 (4) ◽  
pp. 451-459 ◽  
Author(s):  
YVES SAILLARD
Keyword(s):  
Numerical Simulation ◽  
Differential Equations ◽  
Numerical Simulations ◽  
Maximum Temperature ◽  
System Of Differential Equations ◽  
Acceleration Phase ◽  
Conservation Principles ◽  
Ablation Pressure ◽  
Two Phases ◽  
Ablated Mass

The system of differential equations for the non-ablated mass, the average implosion velocity, and the ablation radius of an indirectly driven capsule in acceleration phase, has been obtained from conservation principles of hydrodynamics. Two phases are distinguished during acceleration, according to the uniformity of the velocity in the non-ablated shell. The results of the integration of this system are well compared with numerical simulation of optimized capsules. Assuming that the ablation pressure depends only on the Hohlraum temperature, the relations between the non-ablated mass, the implosion velocity, and the ablation radius are obtained for optimized temperature shape. These relations provide the maximum implosion velocity and the remaining non-ablated mass in terms of the initial capsule and the maximum temperature (or the initial capsule mass in terms of the remaining non-ablated mass) useful to determine the required ablator thickness for optimized capsules. These results are also compared with numerical simulations of different capsules.

Natural Frequencies of the Bias Tire

1976 ◽  
Vol 4 (2) ◽  
pp. 86-114 ◽  
Author(s):  
M. Hirano ◽  
T. Akasaka
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Composite Structure ◽  
Natural Frequencies ◽  
Variable Coefficients ◽  
System Of Differential Equations ◽  
Inflation Pressure ◽  
Point Collocation ◽  
Membrane Shell ◽  
Wide Range

Abstract The lowest natural frequencies of a bias tire under inflation pressure are deduced by assuming the bias tire as a composite structure of a bias-laminated, toroidal membrane shell and rigorously taking three displacement components into consideration. The point collocation method is used to solve a derived system of differential equations with variable coefficients. It is found that the lowest natural frequencies calculated for two kinds of bias tire agree well with the corresponding experimental results in a wide range of inflation pressure.

Pressure fluctuations and interfacial robustness in turbulent flows over superhydrophobic surfaces

2015 ◽  
Vol 783 ◽  
pp. 448-473 ◽  
Author(s):  
J. Seo ◽  
R. García-Mayoral ◽  
A. Mani
Keyword(s):  
Drag Reduction ◽  
Numerical Simulations ◽  
Superhydrophobic Surface ◽  
Stagnation Pressure ◽  
Direct Numerical Simulations ◽  
Superhydrophobic Surfaces ◽  
Water Interface ◽  
System Parameters ◽  
Wide Range ◽  
Air Water Interface

Superhydrophobic surfaces can entrap gas pockets within their grooves when submerged in water. Such a mixed-phase boundary is shown to result in an effective slip velocity on the surface, and has promising potential for drag reduction and energy-saving in hydrodynamic applications. The target flow regime, in most such applications, is a turbulent flow. Previous analyses of this problem involved direct numerical simulations of turbulence with the superhydrophobic surface modelled as a flat boundary, but with a heterogeneous mix of slip and no-slip boundary conditions corresponding to the surface texture. Analysis of the kinematic data from these simulations has helped to establish the magnitude of drag reduction for various texture topologies. The present work is the first investigation that, alongside a kinematic investigation, addresses the robustness of superhydrophobic surfaces by studying the load fields obtain from data from direct numerical simulations (DNS). The key questions at the focus of this work are: does a superhydrophobic surface induce a different pressure field compared to a flat surface? If so, how does this difference scale with system parameters, and when does it become significant that it can deform the air–water interface and potentially rapture the entrapped gas pockets? To this end, we have performed DNS of turbulent channel flows subject to superhydrophobic surfaces over a wide range of texture sizes spanning values from $L^{+}=6$ to $L^{+}=155$ when expressed in terms of viscous units. The pressure statistics at the wall are decomposed into two contributions: one coherent, caused by the stagnation of slipping flow hitting solid posts, and one time-dependent, caused by overlying turbulence. The results show that the larger texture size intensifies the contribution of stagnation pressure, while the contribution from turbulence is essentially insensitive to $L^{+}$. The two-dimensional stagnation pressure distribution at the wall and the pressure statistics in the wall-normal direction are found to be self-similar for different $L^{+}$. The scaling of the induced pressure and the consequent deformations of the air–water interface are analysed. Based on our results, an upper bound on the texture wavelength is quantified that limits the range of robust operation of superhydrophobic surfaces when exposed to high-speed flows. Our results indicate that when the system parameters are expressed in terms of viscous units, the main parameters controlling the problem are $L^{+}$ and a Weber number based on inner dimensions; We obtain good collapse when all our results are expressed in wall units, independently of the Reynolds number.

COMPETITIVE STATUS OF UKRAINE

2017 ◽  
Author(s):  
Olena Zayats ◽  
Keyword(s):  
National Economy ◽  
Financial System ◽  
Product Market ◽  
Global Competitiveness ◽  
Innovation Potential ◽  
Wide Range ◽  
Ict Adoption ◽  
World Economic ◽  
Global Competitiveness Index ◽  
One Year

The article examines the competitive status and competitive positions of Ukraine. It proves that in the current context the competitive status of the national economy is determined by the presence of a strong global competitive force that provides dynamic growth based on innovation potential, developed institutions, infrastructure, ICT adoption, macroeconomic stability, health, skills, product market, labor market, financial system, market size, business dynamism rather than by traditional factors (natural resources, geopolitical situation). It has been identified that a wide range of factors in global competitive force establishment suggests the complexity of its assessment. It has been noted that in world economic practice the Global Competitiveness Index of the World Economic Forum is predominantly used to assess the competitive status of the national economy. It has been determined that according to this index, in the overall ranking among 141 countries in 2019, Ukraine ranked 85th (2009-2010 – 82/133; 2018 – 83/140). The article analyzes of the competitive status of Ukraine in the international arena in terms of twelve pillars of the studied index and in the context of components of the said pillars. The dynamics of Ukraine's global competitive force in recent years shows that there has not been any build up. However, if one analyzes it in terms of the criteria of the global competitive force of the domestic economy, their assessment is volatile: the main regression can be traced in the sphere of the financial system, where Ukraine dropped by 19 positions in one year (2018 – 117/140, 2019 – 136/141), and the greatest progress is observed in the product market, where Ukraine rose by 16 positions in one year (2018 – 73/140, 2019 – 57/141). Analysis of the components of Ukraine’s global competitive force criteria shows that the worst positions in terms of such components are as follows: non-performing loans (% of gross total loans) – 139/141 and soundness of banks – 131/141. The best positions are in terms of the following components: costs of starting a business – 14/141 and attitude towards entrepreneurial risk – 18/141.

scholarly journals Outflowing Envelopes From Stars at Arbitrary Optical Depths a New Approach to the Problem

1998 ◽  
Vol 11 (1) ◽  
pp. 381-381
Author(s):  
A.V. Dorodnitsyn
Keyword(s):  
Differential Equations ◽  
Massive Star ◽  
System Of Differential Equations ◽  
Continuous Transition ◽  
Satisfactory Description ◽  
Sonic Point ◽  
New Approach ◽  
Star Evolution ◽  
Matter Flux ◽  
Massive Star Evolution

We have considered a stationary outflowing envelope accelerated by the radiative force in arbitrary optical depth case. Introduced approximations provide satisfactory description of the behavior of the matter flux with partially separated radiation at arbitrary optical depths. The obtained systemof differential equations provides a continuous transition of the solution between optically thin and optically thick regions. We analytically derivedapproximate representation of the solution at the vicinity of the sonic point. Using this representation we numerically integrate the system of equations from the critical point to the infinity. Matching the boundary conditions we obtain solutions describing the problem system of differential equations. The theoretical approach advanced in this work could be useful for self-consistent simulations of massive star evolution with mass loss.

scholarly journals Solution of Some Impulsive Differential Equations via Coupled Fixed Point

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 501
Author(s):  
Ahmed Boudaoui ◽  
Khadidja Mebarki ◽  
Wasfi Shatanawi ◽  
Kamaleldin Abodayeh
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
System Of Differential Equations ◽  
Coupled Fixed Points

In this article, we employ the notion of coupled fixed points on a complete b-metric space endowed with a graph to give sufficient conditions to guarantee a solution of system of differential equations with impulse effects. We derive recisely some new coupled fixed point theorems under some conditions and then apply our results to achieve our goal.

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