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
Determining the chaotic behavior in a fractional-order finance system with negative parameters
O. I. Tacha,Jesús M. Muñoz-Pacheco,Ernesto Zambrano-Serrano,Ioannis N. Stouboulos,Viet-Thanh Pham +4 more
TL;DR: In this paper, a fractional-order finance system with negative values for system's parameters is introduced, where the eigenvalues of the proposed system can be modified to decrease the fractional order as low as 1.74.
Journal ArticleDOI
The dynamical analysis of a new chaotic system and simulation
TL;DR: In this paper, the authors make a study of dynamical properties of a nonlinear monetary system towards the solution of the localization problem of compact invariant sets of the system (1.1).
Journal ArticleDOI
Dissipativity and contractivity for fractional-order systems
Dongling Wang,Aiguo Xiao +1 more
TL;DR: In this paper, the dissipativity and contractivity of the Caputo fractional initial value problems were investigated and it was shown that the systems have an absorbing set under the same assumptions as the classic integer-order systems.
Journal ArticleDOI
Robust adaptive synchronization of a hyperchaotic finance system
TL;DR: In this paper, an adaptive algorithm to synchronize a hyperchaotic finance system in the presence of unknown system parameters and bounded disturbances is presented, based on Lyapunov-like analysis.
Journal ArticleDOI
Analysis of Fractional Order Chaotic Financial Model with Minimum Interest Rate Impact
TL;DR: In this article, the Caputo fractional order derivative and Atangana-Baleanu derivative were constructed and tested for the management and simulation of a fractional-order disorderly finance system, and the existence and uniqueness of the solutions with fixed point theorem and an iterative scheme.
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.
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Algebraic and topological classification of the homogeneous cubic vector fields in the plane
Anna Cima,Jaume Llibre +1 more
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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.
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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.