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【期刊论文】Complexity of repeated game model in electric power triopoly
马军海, Jun-Hai Ma *, Wei-Zhuo Ji
Chaos, Solitons and Fractals 40(2009)1735-1740,-0001,():
-1年11月30日
According to the repeated game model in electric power duopoly, a triopoly outputs game model is presented. On the basis of some hypotheses, the dynamic characters are demonstrated with theoretical analysis and numerical simulations. The results show that the triopoly model is a chaotic system and it is better than the duopoly model in applications.
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【期刊论文】Stability and Hopf bifurcations in a business cycle model with delay
马军海, Junhai Maa, *, Qin Gao a, b
Applied Mathematics and Computation 215(2009)829-834,-0001,():
-1年11月30日
In this paper, a business cycle model with discrete delay is considered. We first investigate the stability of the equilibrium and the existence of Hopf bifurcations, and then the direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem. This research has an important theoretical value as well as practical meaning.
Business cycle model, Delay, Normal form, Center manifold theorem, Hopf bifurcations
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【期刊论文】Exact solutions for a generalized nonlinear fractional Fokker Planck equation
马军海, Junhai Maa, Yanqin Liu a, b,
Nonlinear Analysis: Real World Applications 11(2010)515-521,-0001,():
-1年11月30日
This paper is devoted to investigating a generalized nonlinear Fokker Planck diffusion equation with external force and absorption. We first investigate the integer nonlinear anomalous diffusion, and we obtain the corresponding exact solution expressed by q-exponential function. The solutions of nonlinear diffusion equation with one-fractional derivative and multi-fractional derivative are also studied in detail, and the solutions can have a compact behavior or a long tailed behavior.
Fractional derivative, Multi-fractional equation, Anomalous diffusion, equationq-exponential function
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【期刊论文】Hopf Bifurcation and Complexity of a Kind of Economic Systems
马军海, Jun-Hai Ma , , Tao Sun and Zhi-Qiang Wang
International Journal of Nonlinear Sciences and Numerical Simulation 8(3), 347-352, 2007,-0001,():
-1年11月30日
This paper studies Hopf bifurcation of a kind of complex economic systems with rich elasticity. The conditions for presence of bifurcation, the stability of periodic orbit before the emergence of Hopf bifurcation and the critical parameter value of the system are obtained. According to Taken s estimation the evolvement situation of the complex system is also given. Numerical examples are given to verify the validity of the present theory. The obtained result is of theoretical importance and has practical applications to exploring the inherence mechanism of the complicated continuous economic systems and establishing the reasonable macro control policy.
complex economic systems,, Hopf bifurcation,, stability
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马军海, Ma Jun Haia* and Mu Ling Lingb
International Journal of Computer Mathematics Vol. 87, No. 3, March 2010, 619-628,-0001,():
-1年11月30日
This paper deals with the chaotic synchronization of a discrete chaotic system. Based on a stable analysis, improved piece-wise linear feedback and nonlinear feedback control methods were given. Both the methods can achieve chaotic synchronization efficiently with one control input. The range of coupling coefficient is calculated in both the methods. Compared with nonlinear controls, the improved piece-wise linear controls have simpler structures and can be obtained more easily. Finally, the numerical simulation results verified the effectiveness of both the methods.
chaos control, synchronization, discrete system, nonlinear
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