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
Chaos-enhanced mobility models for multilevel swarms of UAVs
TL;DR: Novel mobility models for multi-level swarms of collaborating UAVs used for the coverage of a given area are proposed using a chaotic solution of a dynamical system and clearly outperforms state-of-the-art approaches.
Journal ArticleDOI
Robust synchronization of fractional-order complex dynamical networks with parametric uncertainties
TL;DR: In this paper, robust synchronization of fractional-order complex dynamical networks with parametric uncertainties is investigated based on the properties of the kronecker product and the stability of the fractional order system, the robust synchronization criteria are derived by applying the nonlinear control.
A New Finance Chaotic Attractor
Guoliang Cai,Juanjuan Huang +1 more
TL;DR: Based on the mathematical model of a nonlinear finance chaotic system, the compli- cated dynamical behavior and slow manifold of the model are further investigated in this article, and the adaptive control of the nonlinear financial chaotic system is presented.
Journal ArticleDOI
Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
TL;DR: In this paper, the design, analysis, and implementation of a robust numerical scheme when applied to time-fractional reaction-diffusion system is discussed. And the simulation results show that chaotic phenomena can only occur if the reaction or local dynamics of such system is coupled or nonlinear in nature.
Journal ArticleDOI
Chaos suppression in a fractional order financial system using intelligent regrouping PSO based fractional fuzzy control policy in the presence of fractional Gaussian noise
TL;DR: An intelligent Regrouping Particle Swarm Optimization is used to design the numeric weights of the control policy and the methodology is demonstrated by credible simulations.
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.