Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

Kai, Ge; Zhang, W.; Jin, Zhucheng; Wang, C. Z.

doi:10.1155/2020/3734125

Cited by 10 publications

(10 citation statements)

References 39 publications

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“…In the new era, the fast growth of information technology has led to a number of new rules and regulations. These include the financial system for colleges and universities, the accounting system for colleges and universities, the accounting standards for public institutions, and the internal control standards for administrative institutions [1][2][3]. Now, the university financial management system has not fully adapt to the development of higher education in our country, specific performance in financial, accounting, educational administration, personnel, scientific research, oyster for various modules basically not related, are independent of each other, between each module did not establish a complete communication mechanism, just solved the artificial mechanical repetition and simple management issues [4,5].…”

Section: Introductionmentioning

confidence: 99%

Design of University Financial Information System Based on Data Mining Technology and IoT

Guo¹

2022

Wireless Communications and Mobile Computing

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As China’s information construction level keeps getting better and higher education keeps getting better, new rules and regulations are being made and put into place. These new rules and regulations require colleges and universities to have comprehensive budget management, dynamic fund management, scientific forecast analysis and performance assessment, and the integration of campus cards and digital campuses. At present, the financial management concept and financial management software used by colleges and universities have been relatively lagging behind, which cannot adapt to the needs of current information and career development. Therefore, the financial information system of colleges and universities based on data mining technology is designed. The hardware part is designed with CORBA interceptor, B/S structure, and SQL converter. The software part first figures out what kind of financial information platform is needed. Then, using data mining technology, it builds a financial information model. Finally, it designs the functional module of financial information technology and builds the financial index system for colleges and universities. The results of the system tests show that the designed financial information system works well and has some use value.

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Section: Introductionmentioning

confidence: 99%

Design of University Financial Information System Based on Data Mining Technology and IoT

Guo¹

2022

Wireless Communications and Mobile Computing

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“…e chaotic dynamics were observed using such a system with fractional order, which was confirmed using the 0 − 1 test [12]. Further, the chaotic behavior was well studied in the fractional financial system with time-delay [13][14][15][16]. In addition, the control of the 4D hyperchaotic finance system was analyzed by adding an inverse optimal controller [17].…”

Section: Introductionmentioning

confidence: 91%

“…We consider a chaotic financial (CF) model as in Ref. [16] to exemplify the bifurcation delay in economic growth and its characteristics. Since the commodity demand and price indexes can vary depending on external factors, we modified the system to be a driven chaotic financial (DCF) model by including external forcing.…”

Section: Effect Of Time-varying Price Index With Commodity Demandmentioning

confidence: 99%

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Driven Force Induced Bifurcation Delay on the Chaotic Financial System

Ramakrishnan¹,

Abdalla

Boulaaras

et al. 2022

Complexity

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To understand the variations in the financial characteristics, we examine the dynamical behaviors by considering the chaotic financial model with external force. First, the dynamical characteristics are analyzed by introducing the external driven force in the price index with commodity demand. We discover that the presence of an external force causes the alternate occurrence of oscillatory and steady states as a function of time. Interestingly, we find the existence of bifurcation delay (BD) during the transition from oscillatory (OS) to steady state (SS) or vice versa. Bifurcation delay is a phenomenon in which the bifurcation does not occur at the actual bifurcation point but rather at a later time, which is referred to as bifurcation delay. To confirm the delay in bifurcation, we estimate the actual bifurcation point and compare it to the observed bifurcation transition. Furthermore, to understand the variations in the bifurcation delay, we estimate the delay time between each consecutive cycle and find random fluctuations in the BD. Following that, the BD is virtualized via a transformed phase portrait. In addition, we show decreasing the value of average BD while increasing the frequency of external forcing. Second, the presence of BD is explored by incorporating external forces into the investment demand with unit investment cost. We discover the existence of a similar phenomenon with a constant bifurcation delay.

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“…A lot of work has been carried out in modeling nonlinear economic dynamics, such as Goodwin's model, van der Pol model, IS-LM model, and nonlinear finance system [14,[16][17][18][19][20][21][22][23][24][25]. However, it is well known that even a simple nonlinear system can exhibit chaotic behavior.…”

Section: Introductionmentioning

confidence: 99%

Feedback Control of a Chaotic Finance System with Two Delays

Jiang

Zhang

2020

Complexity

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In this research, we use the double-delayed feedback control (DDFC) method in order to control chaos in a finance system. Taking delays as parameters, the dynamic behavior of the system is investigated. Firstly, we study the local stability of equilibrium and the existence of local Hopf bifurcations. It can find that the delays can make chaos disappear and generate a stable equilibrium or periodic solution, which means the effectiveness of DDFC method. By using the normal form theory and center manifold argument, one derives the explicit algorithm for determining the properties of bifurcation. In addition, we also apply some mathematical methods (stability crossing curves) to show the stability changes of the financial system in two parameters’ τ1,τ2 plane. Finally, we give some numerical simulations by Matlab Microsoft to show the validity of theoretical analyses.

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Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

Cited by 10 publications

References 39 publications

Design of University Financial Information System Based on Data Mining Technology and IoT

Design of University Financial Information System Based on Data Mining Technology and IoT

Driven Force Induced Bifurcation Delay on the Chaotic Financial System

Feedback Control of a Chaotic Finance System with Two Delays

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