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Search Results: 1 - 10 of 27903 matches for " Junhai Ma "
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Complex Dynamics in a Nonlinear Cobweb Model for Real Estate Market
Junhai Ma,Lingling Mu
Discrete Dynamics in Nature and Society , 2007, DOI: 10.1155/2007/29207
Abstract: We establish a nonlinear real estate model based on cobweb theory, where the demand function and supply function are quadratic. The stability conditions of the equilibrium are discussed. We demonstrate that as some parameters varied, the stability of Nash equilibrium is lost through period-doubling bifurcation. The chaotic features are justified numerically via computing maximal Lyapunov exponents and sensitive dependence on initial conditions. The delayed feedback control (DFC) method is applied to control the chaos of system.
The Study of the Chaotic Behavior in Retailer's Demand Model
Junhai Ma,Yun Feng
Discrete Dynamics in Nature and Society , 2008, DOI: 10.1155/2008/792031
Abstract: Based on the work of domestic and foreign scholars and the application of chaotic systems theory, this paper presents an investigation simulation of retailer's demand and stock. In simulation of the interaction, the behavior of the system exhibits deterministic chaos with consideration of system constraints. By the method of space's reconstruction, the maximal Lyapunov exponent of retailer's demand model was calculated. The result shows the model is chaotic. By the results of bifurcation diagram of model parameters , and changing initial condition, the system can be led to chaos.
Complex Dynamics in Nonlinear Triopoly Market with Different Expectations
Junhai Ma,Xiaosong Pu
Discrete Dynamics in Nature and Society , 2011, DOI: 10.1155/2011/902014
Abstract: A dynamic triopoly game characterized by firms with different expectations is modeled by three-dimensional nonlinear difference equations, where the market has quadratic inverse demand function and the firm possesses cubic total cost function. The local stability of Nash equilibrium is studied. Numerical simulations are presented to show that the triopoly game model behaves chaotically with the variation of the parameters. We obtain the fractal dimension of the strange attractor, bifurcation diagrams, and Lyapunov exponents of the system. 1. Introduction An oligopoly is a market form in which a market or industry is dominated by a small number of sellers (oligopolists). Because there are few sellers, each oligopolist is likely to be aware of the actions of the others. The decisions of one firm influence, and are influenced by, the decisions of other firms. Strategic planning by oligopolists needs to take into account the likely responses of the other market participants. The classic model of oligopolies was proposed by the French mathematician, Cournot [1]. Recently, the dynamics of the oligopoly game have been studied. Puu [2] studied the adjustment process by three Cournot oligopolists based on an isoelastic demand function and constant marginal costs. Ahmed et al. [3] built the dynamical system model of bounded rationality. Yassen and Agiza [4] analyzed a duopoly game with delayed bounded rationality, and they used the quadratic cost function form, . Expectations play an important role in modelling economic phenomena. Agiza et al. [5] studied the complex dynamics and synchronization of a duopoly game with the same expectation strategies. Then, Agiza and Elsadany [6] extended the same expectations strategies to the different expectations strategies case. Bischi and Kopel [7] introduced adaptive expectations in a duopoly game. Du and Huang [8] obtained that the real-stable region of Nash equilibrium of output game model is smaller than that in general. Brianzoni et al. [9] studied the relationship between corruption in public procurement and economic growth within the Solow framework in discrete time. Ma and Ji [10] established a model on the electricity market. In the model, the inverse demand function and cost functions are all nonlinear, and the three firms take the same expectation strategies, that is, bounded rationality. Du et al. [11] studied an output duopoly competing evolution model by using modern game theory and decision-making analyses about chaos control. Ma et al. [12] analyzed dynamic process of the triopoly games in Chinese 3G
Multivariate Nonlinear Analysis and Prediction of Shanghai Stock Market
Junhai Ma,Lixia Liu
Discrete Dynamics in Nature and Society , 2008, DOI: 10.1155/2008/526734
Abstract: This study attempts to characterize and predict stock returns series in Shanghai stock exchange using the concepts of nonlinear dynamical theory. Surrogate data method of multivariate time series shows that all the stock returns time series exhibit nonlinearity. Multivariate nonlinear prediction methods and univariate nonlinear prediction method, all of which use the concept of phase space reconstruction, are considered. The results indicate that multivariate nonlinear prediction model outperforms univariate nonlinear prediction model, local linear prediction method of multivariate time series outperforms local polynomial prediction method, and BP neural network method. Multivariate nonlinear prediction model is a useful tool for stock price prediction in emerging markets.
Grey Relational Analysis Based on the Joint Development of Regional Economy
Bing Zhang,Junhai Ma
Research Journal of Applied Sciences, Engineering and Technology , 2013,
Abstract: Based on the scholars’ research at home and abroad, This study take comprehensive application of gray correlation analysis model and location entropy to analysis the economic relevance and the linkage between regional economic of the cities in Shandong Peninsula. We obtain the results of the economic linkage in different industries and different cities by the gray relational analysis of data of the Shandong Peninsula cities in 2009 and show the corresponding evaluation and analysis of the economic management. This provide a method and draw upon ideas of new decision-making to the analysis of the regional economic development fully and effectively carried out in future, which has a good theoretical and practical value.
Complexity of a Duopoly Game in the Electricity Market with Delayed Bounded Rationality
Junhai Ma,Hongliang Tu
Discrete Dynamics in Nature and Society , 2012, DOI: 10.1155/2012/698270
Complexity Analysis of a Cournot-Bertrand Duopoly Game Model with Limited Information
Hongwu Wang,Junhai Ma
Discrete Dynamics in Nature and Society , 2013, DOI: 10.1155/2013/287371
Hyperchaos Numerical Simulation and Control in a 4D Hyperchaotic System
Junhai Ma,Yujing Yang
Discrete Dynamics in Nature and Society , 2013, DOI: 10.1155/2013/980578
Abstract: A hyperchaotic system is introduced, and the complex dynamical behaviors of such system are investigated by means of numerical simulations. The bifurcation diagrams, Lyapunov exponents, hyperchaotic attractors, the power spectrums, and time charts are mapped out through the theory analysis and dynamic simulations. The chaotic and hyper-chaotic attractors exist and alter over a wide range of parameters according to the variety of Lyapunov exponents and bifurcation diagrams. Furthermore, linear feedback controllers are designed for stabilizing the hyperchaos to the unstable equilibrium points; thus, we achieve the goal of a second control which is more useful in application. 1. Introduction In recent years, hyperchaotic systems have been extensively studied because of exhibiting at least two positive Lyapunov exponents. That is to say, the dynamics of the system expand in more than one direction and generate a much more complex attractor compared with the chaotic system with only one positive Lyapunov exponent, which is studied by Rech et al. [1, 2]. It means that hyperchaotic systems generate much more dynamical behaviors compared with chaotic systems [3–5]. Historically, the noted four-dimensional hyperchaotic system was firstly reported by L?renz [6]. Chen et al. [7, 8] have studied the dynamics of the fractional-order generalizations of the L?renz hyperchaos equation and found a new chaotic attractor in a simple three-dimensional autonomous system, which resembles some familiar features from both the L?renz and R?ssler attractors. Nowadays, the application of the hyperchaos is becoming a hot topic in the field of chaos. Wang [9, 10] has presented a multiscroll chaotic system generated from a new quadratic autonomous system and introduced a new three-dimensional quadratic autonomous system, which can generate a pair of double-wing chaotic attractors. Moreover, he has also found that the system can generate three-wing and four-wing chaotic attractors with very complicated topological structures over a large range of parameters. On the basis of the analysis above, several useful issues are investigated either analytically or numerically. Ma et al. [11–13] have expressed many of the dynamical systems generating both hyperchaotic and chaotic behaviors, such as quadratic dynamic behaviors, and analyzed it furthermore in various fields. Yang [14] has analyzed an input control of exponential synchronization for a four-dimensional chaotic system and obtained some valuable conclusions. Wang et al. [15] have studied an asynchronous communication system based on
Complexity of a Duopoly Game in the Electricity Market with Delayed Bounded Rationality
Junhai Ma,Hongliang Tu
Discrete Dynamics in Nature and Society , 2012, DOI: 10.1155/2012/698270
Abstract: According to a triopoly game model in the electricity market with bounded rational players, a new Cournot duopoly game model with delayed bounded rationality is established. The model is closer to the reality of the electricity market and worth spreading in oligopoly. By using the theory of bifurcations of dynamical systems, local stable region of Nash equilibrium point is obtained. Its complex dynamics is demonstrated by means of the largest Lyapunov exponent, bifurcation diagrams, phase portraits, and fractal dimensions. Since the output adjustment speed parameters are varied, the stability of Nash equilibrium gives rise to complex dynamics such as cycles of higher order and chaos. Furthermore, by using the straight-line stabilization method, the chaos can be eliminated. This paper has an important theoretical and practical significance to the electricity market under the background of developing new energy. 1. Introduction In 1980s, chaos theory was first introduced into the economic research. Chaotic economists used the basic mathematic theory of chaos to improve the existing models of economic phenomena. The economic system is whether a chaotic system is a hot topic in the economic field. Bifurcation theory based on difference equation has been applied in all branches of chaos [1]. In recent years, a series of dynamic game models on the output decision (Cournot model) and price decision (Bertrand model) have been studied in related references. Agiza [2] and Kopel [3] have considered bounded rationality and established duopoly Cournot model with linear cost functions. From then on, the model has been extended to multioligopolistic market. Bischi et al. [4] suppose that firms determine their output based on the reaction functions, that is, all the players take adaptive expectation. Agiza and Elsadany [5] have improved the model that contains two-types of heterogeneous players: boundedly rational player and adaptive expectation player. Zhang et al. [6] have further improved the model with nonlinear cost functions. Matsumoto and Nonaka [7] have researched the complexity of Cournot model with linear cost functions. Ma and Ji [8] have constructed and considered a Cournot model in electric power triopoly with nonlinear inverse demand, and the model is further studied by Ji [9] based on heterogeneous players. Ma and Feng [10] have studied the chaotic behavior in retailer’s demand model. Xin et al. [11] have researched the complex dynamics of an adnascent-type game model. Chen et al. [12] have used Bertrand model with linear demand functions to study the
Complex Dynamics of an Adnascent-Type Game Model
Baogui Xin,Junhai Ma,Qin Gao
Discrete Dynamics in Nature and Society , 2008, DOI: 10.1155/2008/467972
Abstract: The paper presents a nonlinear discrete game model for two oligopolistic firms whose products are adnascent. (In biology, the term adnascent has only one sense, “growing to or on something else,” e.g., “moss is an adnascent plant.” See Webster's Revised Unabridged Dictionary published in 1913 by C. & G. Merriam Co., edited by Noah Porter.) The bifurcation of its Nash equilibrium is analyzed with Schwarzian derivative and normal form theory. Its complex dynamics is demonstrated by means of the largest Lyapunov exponents, fractal dimensions, bifurcation diagrams, and phase portraits. At last, bifurcation and chaos anticontrol of this system are studied.
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