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  • 1995-1999  (3)
  • 1985-1989  (3)
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  • 1
    Monograph available for loan
    Monograph available for loan
    Dordrecht [u.a.] : Kluwer
    Call number: PIK M 370-94-0059
    Type of Medium: Monograph available for loan
    Pages: 256 p.
    ISBN: 0792301943
    Series Statement: studies in operational regional science 6
    Location: A 18 - must be ordered
    Branch Library: PIK Library
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  • 2
    Publication Date: 1997-01-01
    Description: A new method to stabilize dynamical systems by forcing the system variables into the desired unstable stationary point is proposed. The key conception of the method is based on parametric perturbation. This means that the equations of motion are influenced by continuous variation of some selected parameters. Thus – without using any external forces – the motion of the system approaches the chosen unstable stationary point. The variation of the parameters will vanish after the successful stabilization. Therefore, the system and its parameters are changed during the control process only. The algorithm is applied to an urban system within a metropolitan area obeying a Lorenz-type dynamics as well as to the Hénon attractor as an example for a discrete scenario.
    Print ISSN: 1026-0226
    Electronic ISSN: 1607-887X
    Topics: Mathematics
    Published by Hindawi
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  • 3
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Journal of regional science 27 (1987), S. 0 
    ISSN: 1467-9787
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geography , Economics
    Notes: A nonlinear model for the migration of one population between L primordially equivalent regions is introduced. The agglomeration trend k is the relevant system parameter. For low (k 〈 kc) the homogeneous population distribution and for high (k 〉 kc) states with one metropole and (L−1) depleted provinces are stable equilibria. The dynamics of phase transitions between such stable states can be described by a global nonlinear analysis. Exact analytic solutions for the population evolution along symmetry paths are found. A dynamic stability analysis shows which paths of evolution are preferred and lead to stable endconfigurations.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Papers in regional science 74 (1995), S. 0 
    ISSN: 1435-5957
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geography , Economics
    Notes: A further step towards a dynamic model for the observed size distribution of a system of settlements is presented. The occurrence and temporal stability of the rank-size distribution is obtained as the result of a dynamic self-organizing process of the nested system of settlements. The inherent time scale of this self-organizing process and the obtained hierarchical structure are related to the generally low inter settlement mobility of urban population, the tendency of the population to agglomerate, distance effects and preference effects. The well-known migration model of Weidlich and Haag is used as starting point and three approaches to express the attractivity in the system are compared. The stationary state is investigated in detail under some limiting conditions.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of evolutionary economics 6 (1996), S. 31-42 
    ISSN: 1432-1386
    Keywords: Chaotic economy ; Control of chaos ; Deterministic chaos
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Notes: Abstract An economic system which exhibits chaotic behaviour has been stabilized on various periodic orbits by use of the Ott-Grebogi-Yorke method. This procedure has been recently applied to controlling chaotic phenomena in physical, chemical and biological systems. We adopt this method successfully for Feichtinger's generic model of two competing firms with asymmetrical investment strategies. We show that the application of this control method to the particular economic process considered brings a substantial advantage: one can easily switch from a chaotic trajectory to a regular periodic orbit and simultaneously improve the system's economic properties. Numerical simulations are presented in order to illustrate the effectiveness of the whole procedure.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Theory and decision 19 (1985), S. 279-299 
    ISSN: 1573-7187
    Source: Springer Online Journal Archives 1860-2000
    Topics: Sociology , Economics
    Notes: Abstract For the purpose of describing change in an economy's structure, and addressing issues of transformation, the notion of a time-dependent macroeconomic potential function is introduced. It penalizes deviations from equilibrium (entrepreneurial error) and induces moves toward equilibrium. Thus, from the concept of a potential function is derived the concept of short-term and long-term change forces. We focus here on the long-term structural changes of an economy as distinct from short-term cyclical variations, and we represent economic transformations as phase-transitions between monostable and ambiguous bistable states of the economy. One important feature of the potential function approach is that the parameter of the potential can be determined from empirical data. In particular, the parameters can be regressed for input variables. Hence, a relationship has been established between the structural change force and a set of input variables, some of which are controlled in part by either public or private sector agents. The method has been applied to West German and United States industry data for 1950–1980.
    Type of Medium: Electronic Resource
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