Journal ArticleDOI
Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system (I)
TLDR
In this article, a mathematical model of a kind of complicated financial system, and all possible things that the model shows in the operation of our country's macro-financial system are analyzed.Abstract:
Based on the work discussed on the former study, this article first starts from the mathematical model of a kind of complicated financial system, and analyses all possible things that the model shows in the operation of our country's macro-financial system: balance, stable periodic, fractal, Hopf-bifurcation, the relationship between parameters and Hopf-bifurcation, and chaotic motion etc. By the changes of parameters of all economic meanings, the conditions on which the complicated behaviors occur in such a financial system, and the influence of the adjustment of the macro-economic policies and adjustment of some parameter on the whole financial system behavior have been analyzed. This study will deepen people's understanding of the lever function of all kinds of financial policies.read more
Citations
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Journal ArticleDOI
Finite Time Stability of Finance Systems with or without Market Confidence Using Less Control Input
Chao Ma,Yujuan Tian,Zhongfeng Qu +2 more
TL;DR: Simulation results are presented to show the chaotic behaviour of the finance systems, verify the effectiveness of the proposed control method, and illustrate its advantages compared with other methods.
Book ChapterDOI
Ultimate Numerical Bound Estimation of Chaotic Dynamical Finance Model
Dharmendra Kumar,Sachin Kumar +1 more
TL;DR: In this article, the boundedness of a 3D chaotic Dynamical Finance Model is investigated by using Lagrange multiplier method and optimization method and it was verified by using fmincon solver.
Journal ArticleDOI
Research on Dynamic Game Model and Application of China’s Imported Soybean Price in the Context of China-US Economic and Trade Friction
Yi Wang,Hui Wang,Shubing Guo +2 more
TL;DR: The model constructed in this paper can reflect the changing trend of price and demand and predict the short-term import soybean prices of Brazil and the United States and provide methodological reference for forecasting the price of imported goods.
Journal ArticleDOI
A robust spectral integral method for solving chaotic finance systems
TL;DR: A robust spectral method to numerically solve nonlinear chaotic financial systems using spectral integration diagonal matrices coupled with a domain decomposition method is proposed to preserve the high accuracy and the robustness of the methodology on a long time period.
References
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Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system(ii)
Ma,Jun-hai(马军海),Chen,Yu-shu(陈予恕) +3 more
TL;DR: Based on the mathematical model of a kind of complicated financial system, all possible things that the model shows in the operation of our country's macro-financial system were analyzed, such as balance, stable periodic, fractal,Hopf-bifurcation, the relationship between parameters and Hopf-Bifurcations, and chaotic motion etc as mentioned in this paper.
Journal ArticleDOI
Topological equivalence of a plane vector field with its principal part defined through Newton Polyhedra
Marco Brunella,Massimo Miari +1 more
TL;DR: In this article, the singularities of vector fields associated with Newton polyhedra are blown up in the space of the exponents, by means of which it is shown that a vector field possessing characteristic orbits is locally topologically equivalent with its principal part, under suitable non-degeneracy hypotheses.
Journal ArticleDOI
Algebraic and topological classification of the homogeneous cubic vector fields in the plane
Anna Cima,Jaume Llibre +1 more
Journal ArticleDOI
Lorenz Bifurcation: Instabilities in Quasireversible Systems
TL;DR: In this article, the authors describe the two generic instabilities which arise in quasireversible systems and show that their normal forms are the well-known real Lorenz equations and the Maxwell-Bloch equations.
Journal ArticleDOI
Necessary Condition for Observer-Based Chaos Synchronization
TL;DR: It is shown by examples that many response systems proposed in the literature are of this form, and a necessary condition for synchronization and a selection criterion for appropriate synchronization signal are given.