Deterministic chaos refers to an irregular or chaotic motion that is generated by nonlinear systems. The chaotic behavior is not to quantum-mechanical-like uncertainty. Chaos theory is used to prove that erratic and c...Deterministic chaos refers to an irregular or chaotic motion that is generated by nonlinear systems. The chaotic behavior is not to quantum-mechanical-like uncertainty. Chaos theory is used to prove that erratic and chaotic fluctuations can indeed arise in completely deterministic models. Chaotic systems exhibit a sensitive dependence on initial conditions. Seemingly insignificant changes in the initial conditions produce large differences in outcomes. To maximize profit, the monopolist must first determine its costs and the characteristics of market demand. Given this knowledge, the monopoly firm must then decide how much to produce. The monopoly firm can determine price, and the quantity it will sell at that price follows from the market demand curve. The basic aim of this paper is to construct a relatively simple chaotic growth model of the monopoly price that is capable of generating stable equilibria, cycles, or chaos. A key hypothesis of this work is based on the idea that the coefficient,π=[m（a-1）（e-1）^-eb]plays a crucial role in explaining local stability of the monopoly price, where,b^the coefficient of the marginal cost function of the monopoly firm, m--the coefficient of the inverse demand function, e--the coefficient of the price elasticity of the monopoly demand, a--the coefficient.展开更多
This paper presents a random physical model of seismic ground motion field on a specific local engineering site.With this model,artificial ground motions which are consistent with realistic records at SMART-1 array on...This paper presents a random physical model of seismic ground motion field on a specific local engineering site.With this model,artificial ground motions which are consistent with realistic records at SMART-1 array on spatial correlation are synthesized.A two-scale modeling method of seismic random field is proposed.In large scale,the seismic ground motion field on bedrock surface is simplified to a two-dimensional spherical wave field based on the seismic point source and homogeneous isotropic media model.In small scale,the seismic ground motion field on the engineering site has a plane waveform.By introducing the physical models of seismic source,path and local site and considering the randomness of the basic physical parameters,the random model of seismic ground motion field is completed in a random functional form.This model is applied to simulation of the acceleration records at SMART-1 array by using the superposition method of wave group.展开更多
文摘Deterministic chaos refers to an irregular or chaotic motion that is generated by nonlinear systems. The chaotic behavior is not to quantum-mechanical-like uncertainty. Chaos theory is used to prove that erratic and chaotic fluctuations can indeed arise in completely deterministic models. Chaotic systems exhibit a sensitive dependence on initial conditions. Seemingly insignificant changes in the initial conditions produce large differences in outcomes. To maximize profit, the monopolist must first determine its costs and the characteristics of market demand. Given this knowledge, the monopoly firm must then decide how much to produce. The monopoly firm can determine price, and the quantity it will sell at that price follows from the market demand curve. The basic aim of this paper is to construct a relatively simple chaotic growth model of the monopoly price that is capable of generating stable equilibria, cycles, or chaos. A key hypothesis of this work is based on the idea that the coefficient,π=[m（a-1）（e-1）^-eb]plays a crucial role in explaining local stability of the monopoly price, where,b^the coefficient of the marginal cost function of the monopoly firm, m--the coefficient of the inverse demand function, e--the coefficient of the price elasticity of the monopoly demand, a--the coefficient.
基金supported by the Funds for Creative Research Groups of China (Grant No. 50621062)
文摘This paper presents a random physical model of seismic ground motion field on a specific local engineering site.With this model,artificial ground motions which are consistent with realistic records at SMART-1 array on spatial correlation are synthesized.A two-scale modeling method of seismic random field is proposed.In large scale,the seismic ground motion field on bedrock surface is simplified to a two-dimensional spherical wave field based on the seismic point source and homogeneous isotropic media model.In small scale,the seismic ground motion field on the engineering site has a plane waveform.By introducing the physical models of seismic source,path and local site and considering the randomness of the basic physical parameters,the random model of seismic ground motion field is completed in a random functional form.This model is applied to simulation of the acceleration records at SMART-1 array by using the superposition method of wave group.
