Analysis on Hopf Bifurcation and Complexity of one Kind Financial System

2011 ◽  
Vol 48-49 ◽  
pp. 813-816 ◽  
Author(s):  
Qi Zhang ◽  
Jun Hai Ma

From a mathematical model of one kind complicated financial system, we make a dynamic analysis on this kind of system on the basis of studies of scholars both at home and abroad. We find characteristics of various dynamic systems driven by different parameters, and study possible Hopf bifurcation as well as the relationship between Hopf bifurcation and the values of parameters. Besides, we make use of algorithm to analyze complexity of the system. The results of numerical simulation prove that the theory used in the thesis is correct. This study is regarded with good theoretical and practical value.

2013 ◽  
Vol 210 ◽  
pp. 320-325
Author(s):  
Edyta Ladyżyńska-Kozdraś

The paper presents the process of modeling and investigation of dynamic properties of automatically controlled underwater vehicle as an object with superimposed nonholonomic constraints. Based on torpedoes, a universal mathematical model of a robotic underwater vehicle comprising coupling dynamics of a controlled object with superimposed guidance has been built. This model is now being used to make numerical simulation program, that illustrates the behaviour of the object during guidance. A review on motion of the underwater vehicle considered in the inertial system associated with mother-ship.


Author(s):  
Guixi Li ◽  
Rujian Ma ◽  
Jungang Wang

The dynamic characteristics of vibration systems with nonlinear springs is analyzed in the paper. The relationship between spectra of response and excitation intensity is established by nonlinear analysis method under the assumption of the displacement response being a zero-mean Gaussian process, which is proved to be true by numerical simulation. The numerical computation is used to obtain the spectral densities of responses and, furthermore, to investigate the amplitude-frequency characteristics of the system. The results show that the peak of the amplitude-frequency curve goes higher with increase of the gap, yet lowers with the increase of natural frequency and drops significantly with the increase of damping ratio.


Author(s):  
SANTOSHI PANIGRAHI ◽  
Sunita Chand ◽  
S Balamuralitharan

In this paper, we study a fractional order time delay for nonlinear financial system. By using Laplace transformation, stability and Hopf bifurcation analysis have been done for the model. Furthermore, numerical simulation has been carried out for better understanding of our results.


2020 ◽  
Vol 44 (1) ◽  
pp. 26-38
Author(s):  
Carolyn Lauckner ◽  
Charles A. Warnock ◽  
Anne Marie Schipani-McLaughlin ◽  
Danielle N. Lambert ◽  
Jessica L. Muilenburg

2020 ◽  
Vol 8 (2) ◽  
pp. 161-175
Author(s):  
Jappy Fanggidae ◽  
Ridolof Batilmurik ◽  
Pieter Samadara

This study investigated the relationship between guilt appeal and compliance with social distancing measures. We proposed that the relationship is double mediated by empathy and responsibility for the unfortunate people who have suffered from COVID-19. This research is novel to an extent as an experimental method is used in the Asian context. The results exhibited that guilt positively affected compliance with social distancing measures. The respondents were directly or indirectly compliant due to the emotions of empathy and responsibility. The theoretical and practical contributions of this study were presented.


Author(s):  
Carlos Alberto Dutra Fraga Filho ◽  
Fernando César Meira Menandro ◽  
Rivânia Hermógenes Paulino de Romero ◽  
Juan Sérgio Romero Saenz

1991 ◽  
Vol 24 (5) ◽  
pp. 85-96 ◽  
Author(s):  
Qingliang Zhao ◽  
Zijie Zhang

By means of simulated tests of a laboratory–scale oxidation pond model, the relationship between BOD5 and temperature fluctuation was researched. Mathematical modelling for the pond's performance and K1determination were systematically described. The calculation of T–K1–CeCe/Ci) was complex but the problem was solved by utilizing computer technique in the paper, and the mathematical model which could best simulate experiment data was developed. On the basis of experiment results,the concept of plug–ratio–coefficient is also presented. Finally the optimum model recommended here was verified with the field–scale pond data.


2015 ◽  
Vol 9 (1) ◽  
pp. 625-631
Author(s):  
Ma Xiaocheng ◽  
Zhang Haotian ◽  
Cheng Yiqing ◽  
Zhu Lina ◽  
Wu Dan

This paper introduces a mathematical model for Pulse-Width Modulated Amplifier for DC Servo Motor. The relationship between pulse-width modulated (PWM) signal and reference rotation speed is specified, and a general model of motor represented by transfer function is also put forward. When the input signal changes, the rotation speed of the servo motor will change accordingly. By changing zeros and poles, transient performance of this system is discussed in detail, and optimal ranges of the parameters is recommended at the end of discussion.


Author(s):  
Deborah Rooke

Following some methodological remarks the chapter briefly reviews the vocabulary of sickness used in the biblical Hebrew text. It then examines instances of sickness and healing that are described in the Hebrew Bible, in order to establish how sickness is understood and how ritual might therefore relate to it. Aspects considered include the relationship between sickness and sin; whether and how YHWH is involved in causing sickness; epidemics versus individual cases of sickness; and instances of ritual action, broadly understood, that are used to address sickness-related issues. Such instances of ritual action include consulting a functionary such as a priest or prophet, and performing ritual laments and prayers either at home or at a shrine. Two instances of concerns relating to childbearing are also considered, both of which are pictured in the context of ritual action at a shrine.


2013 ◽  
Vol 652-654 ◽  
pp. 2450-2454
Author(s):  
Zhi Hong Zhang ◽  
Guo Guang Cheng

The paper describes multi-section round bloom casting using external MEMS, equipped with max section D600mm and min D280mm mold, the center line of D280mm mold not coincident with the axis of stirrer coils. it is exist eccentric electromagnetic stirring of mold which section less than max D600mm, a mathematical model of MEMS has been established, the index of central segregation of D280mm macrostructure had decreased less than 1.12 by optimized parameters of electromagnetic stirring and SEN immerse depth, in the end, the quality of round bloom had improved.


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