Urban chaos and replacement dynamics in nature and society

@article{Chen2011UrbanCA,
  title={Urban chaos and replacement dynamics in nature and society},
  author={Yanguang Chen},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2011},
  volume={413},
  pages={373-384}
}
  • Yanguang Chen
  • Published 5 June 2011
  • Business
  • Physica A-statistical Mechanics and Its Applications

Figures and Tables from this paper

Reinterpreting the Origin of Bifurcation and Chaos by Urbanization Dynamics

Chaos associated with bifurcation makes a new science, but the origin and essence of chaos are not yet clear. Based on the well-known logistic map, chaos used to be regarded as intrinsic randomicity

Logistic Models of Fractal Dimension Growth for Spatio-Temporal Dynamics of Urban Morphology

Urban form and growth can be described with fractal dimension, which is a measurement of space filling of urban evolution. Based on empirical analyses, a discovery is made that the time series of

Spatial Dynamics of Urban Growth Based on Entropy and Fractal Dimension

The fractal dimension growth of urban form can be described with sigmoid functions such as logistic function due to squashing effect. The sigmoid curves of fractal dimension suggest a type of spatial

LOGISTIC MODELS OF FRACTAL DIMENSION GROWTH OF URBAN MORPHOLOGY

The principle of squashing function and empirical evidences are employed to demonstrate the following inference: the fractal dimension time series of a city’s spatial form take on a sigmoid curve, which indicates that the logistic function is the most probable selection.

Modeling growth curve of fractal dimension of urban form of Beijing

Urbanization, Ikization, and Replacement Dynamics

The phenomenon of Iks was first found by anthropologists and biologists, but it is actually a problem of human geography. However, it has not yet drawn extensive attention of geographers. In this

Mathematical Model and Computational Algorithm for Solving the Problem of the Coexistence of Different Groups of People in an Urban Environment

The article is devoted to the currently relevant problem of the development and dynamics of the population in urban formation from the point of view of spatial-dynamic approximation. The population

Urban Allometric Scaling Beneath Structural Fractality of Road Networks

Allometry originally referred to the scaling relationship between the size of a body part and the size of the whole body when an organism grows. Gradually, researchers introduced it into urban

Modeling Fractal Dimension Curve of Urban Growth in Developing Countries

The growth curve of fractal dimension of cities can be described with sigmoid function such as Boltzmann’s equation and logistic function. The logistic models of fractal dimension curves have been

Multifractal scaling analyses of urban street network structure: The cases of twelve megacities in China.

It is shown that the patterns of traffic networks take on characteristics of spatial concentration, but they also show the implied trend of spatial deconcentration, and the development space of central area and network intensive areas is limited, while the fringe zone and network sparse areas show the phenomenon of disordered evolution.

References

SHOWING 1-10 OF 35 REFERENCES

Spatial interaction creates period-doubling bifurcation and chaos of urbanization

Urban evolution : studies in the mathematical ecology of cities

This book develops a theory of inter- and intra-urban evolution as a branch of mathematical ecology and population dynamics. In recent years profound changes have been taking place in the methodology

Social dynamics and the quantifying of social forces.

  • E. Montroll
  • Sociology
    Proceedings of the National Academy of Sciences of the United States of America
  • 1978
It is shown here that the deviations are often associated with unusual intermittent events-wars, strikes, economic panics, etc-and that in many cases a few years after the event it can be abstracted as an instantaneous delta function impulse.

Growth,Innovation,Scaling and the Pace of Life in Cities

Humanity has just crossed a major landmark in its history with the majority of people now living in cities.Cities have long been known to be society's predominant engine of innovation and wealth

Growth, innovation, scaling, and the pace of life in cities

Empirical evidence is presented indicating that the processes relating urbanization to economic development and knowledge creation are very general, being shared by all cities belonging to the same urban system and sustained across different nations and times.

City Growth as a Leap-frogging Process: An Application to the Tel-Aviv Metropolis

This paper presents an analysis of the spatial and temporal development of Tel-Aviv. The central notion in the analysis is the old concept of leap-frogging. Instead of seeing the population's

Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents

Fractal growth is a kind of allometric growth, and the allometric scaling exponents can be employed to describe growing fractal phenomena such as cities. The spatial features of the regular fractals