Applying phase space reconstruction method,G-P arithmetic,C-C arithmetic and Wolf method,this paper distills Lyapunov exponents from one-dimension time series of underground water table in Ningling county. The result indicates that this time series possesses the character of chaos.

'Postmodern'is not following of the linear history idea and one-dimension time logic and cancellation of past history, on the contrary, it provided the possible horizon which lead past history to break through the above-mentioned logical chain and to pile itself upon the present

In this paper,the difference between strict self-similar and statistical self-similar has been given. Based on the difference,two considerable problems on the dimension of attractor from one-dimension time series of the experimental data,namely,the range of scale and the coefficient of proportion in the formula of fractal dimension,and the relationship between the doublelogarithmic figure and the D-m figure are discussed.

A new method to determine chaotic attractor structure through experiment data is presented. The method is based on state space reconstitution scheme, that is, according to one dimension time sequence of the given state parameters of chaotic system, the attractor can be reconstructed by use of time delay technology.

A quasi one-dimensional,time dependent compression system model based on the parallel compressor theory was used to model the dynamic flow in compressor and actuator lag-volume model was adopted to model the stage of compressor.

The one-dimensional time series is embedded into a high phase space in which the principal manifold of the dynamical system, in the form of a single global orthogonal coordinate system of low dimensionality, is identified by nonlinear dimeusionality reduction method. The final noise reduction result is achieved after averaging of phase space data which are regenerated according to the principal manifold.

We study the one dimensional time evolution Smoluchowski Equation in describing polymeric fluid. We shows that the steady solution of the time evolution Smoluchowski Equation is a constant, which means the phase is isotropic, when there are no two modulus in the initial data.

Periodic flow regimes result as a limit of the solution of a Cauchy problem for one-dimensional time-dependent gasdynamic equations.

A one-dimensional time-dependent solution of the Navier-Stokes equations is constructed analytically for the motion starting from the state of rest.

The one-dimensional time-dependent problem of evaporation from a plane body surface into a half-space filled by a gas (condensed phase vapor) upon a sudden increase in the body surface temperature is studied.

Asymptotic Solutions of Problems of One-Dimensional Time-Dependent Combustible Gas Flows in the Presence of Thermal Action

This investigation is based on the results of hydrodynamic calculations for the model of [1] supplemented by taking into account the ionization current [2-5] and on the numerical solution of a one-dimensional time-dependent Schr?dinger equation.

This paper presents a single period, one dimensional time integral model, with which we calculate the energy exchange between the rf field and electrons in the output section of a klystron.

We prove a smoothing property for one dimensional time dependent Schr?dinger equations with potentials which satisfy at infinity, k≥ 2.

But the previous research on the partial similarity search was made for one dimensional time series data.

In this project we will investigate methods to extend models for one dimensional time series to trajectories of moving objects.

On the basis of giving a brief comment on time notion, This paper expounds that time is not the notion of one dimension in general. It also be discussed that how to set up the time coordi-nate system and other problem about coordinate system of time. It goes further into the question ofGalileo transformation and Lorentz transformation, and the question of accurate terms of timeof the founding of the special relativity. And it comes to a conclusion: In nature, There is nota long existence of physical reality...

On the basis of giving a brief comment on time notion, This paper expounds that time is not the notion of one dimension in general. It also be discussed that how to set up the time coordi-nate system and other problem about coordinate system of time. It goes further into the question ofGalileo transformation and Lorentz transformation, and the question of accurate terms of timeof the founding of the special relativity. And it comes to a conclusion: In nature, There is nota long existence of physical reality of reference coordinate system and one dimension of time,and flat space of great scope, which may have been considered to possess a long-term existencebefore.

This paper reports a method of chaos and fractal for a study of the auditory evoked potential of the brain stem. The results of one-dimensional time-amplitude, frequency-amplitude and phase-space curve reconstructed in time series were obtained from the scalp electrodes in different brain states. Algorithms of correlation dimension are used to obtain the fractal dimension of the time serial in different states before, during and after the exercise. The result shows that the dimension during exercise is lower...

This paper reports a method of chaos and fractal for a study of the auditory evoked potential of the brain stem. The results of one-dimensional time-amplitude, frequency-amplitude and phase-space curve reconstructed in time series were obtained from the scalp electrodes in different brain states. Algorithms of correlation dimension are used to obtain the fractal dimension of the time serial in different states before, during and after the exercise. The result shows that the dimension during exercise is lower than those before and after The phase-space curves are used to analyze the obvious different conditions in different brain states. The principle of the study of the EEG signal with chaos theory consists in that the human body is taken as a nonlinear dynamic system and the variables of the system can be described by fractal dimension.

The time-dependent equations of the phase space state variables are obtained,as-suming that the linear and quadratic nonlinear terms are contained in the system,by us-ing the phase space continuation of the 1-D time series of monthly mean temperature,and followed by the fitting of the treated data.In order to reconstruct the related dy-namic system,the coefficients of equations must be found by use of the least squaremethod with the terms of greater variance contribution retained.The results show thatthe obtained...

The time-dependent equations of the phase space state variables are obtained,as-suming that the linear and quadratic nonlinear terms are contained in the system,by us-ing the phase space continuation of the 1-D time series of monthly mean temperature,and followed by the fitting of the treated data.In order to reconstruct the related dy-namic system,the coefficients of equations must be found by use of the least squaremethod with the terms of greater variance contribution retained.The results show thatthe obtained low-order system is likely to describe the nonlinear properties in the short-range climate variation characterized by monthly mean temperature.