Nonlinear dynamics approach to urban scaling
(2025) In Chaos, Solitons and Fractals 191.- Abstract
This study investigates city dynamics employing a nonextensive diffusion equation suited for addressing diffusion within a fractal medium, where the nonadditive parameter, q, plays a relevant role. The findings demonstrate the efficacy of this approach in determining the relation between the fractal dimension of the city, the allometric exponent and q, and elucidating the stationary phase of urban evolution. The dynamic methodology facilitates the correlation of the fractal dimension with both the entropic index and the urban scaling exponent identified in data analyses. The results reveal that the scaling behaviour observed in cities aligns with the fractal dimension measured through independent methods. Moreover, the interpretation of... (More)
This study investigates city dynamics employing a nonextensive diffusion equation suited for addressing diffusion within a fractal medium, where the nonadditive parameter, q, plays a relevant role. The findings demonstrate the efficacy of this approach in determining the relation between the fractal dimension of the city, the allometric exponent and q, and elucidating the stationary phase of urban evolution. The dynamic methodology facilitates the correlation of the fractal dimension with both the entropic index and the urban scaling exponent identified in data analyses. The results reveal that the scaling behaviour observed in cities aligns with the fractal dimension measured through independent methods. Moreover, the interpretation of these findings underscores the intimate connection between the fractal dimension and social interactions within the urban context. This research contributes to a deeper comprehension of the intricate interplay between human behaviour, urban dynamics, and the underlying fractal nature of cities.
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- author
- Deppman, A. ; Fagundes, R. L. ; Megías, E. ; Pasechnik, R. LU ; Ribeiro, F. L. and Tsallis, C.
- organization
- publishing date
- 2025-02
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Allometric scaling, Dynamic equation, Fractal dimension, Nonextensive systems, Nonlinear diffusion, Tsallis Statistics
- in
- Chaos, Solitons and Fractals
- volume
- 191
- article number
- 115877
- publisher
- Elsevier
- external identifiers
-
- scopus:85211740817
- ISSN
- 0960-0779
- DOI
- 10.1016/j.chaos.2024.115877
- language
- English
- LU publication?
- yes
- id
- ba5d6ce1-f398-4b14-b7fd-23cc8b6d1c5a
- date added to LUP
- 2025-03-04 14:20:38
- date last changed
- 2025-04-04 14:05:17
@article{ba5d6ce1-f398-4b14-b7fd-23cc8b6d1c5a,
abstract = {{<p>This study investigates city dynamics employing a nonextensive diffusion equation suited for addressing diffusion within a fractal medium, where the nonadditive parameter, q, plays a relevant role. The findings demonstrate the efficacy of this approach in determining the relation between the fractal dimension of the city, the allometric exponent and q, and elucidating the stationary phase of urban evolution. The dynamic methodology facilitates the correlation of the fractal dimension with both the entropic index and the urban scaling exponent identified in data analyses. The results reveal that the scaling behaviour observed in cities aligns with the fractal dimension measured through independent methods. Moreover, the interpretation of these findings underscores the intimate connection between the fractal dimension and social interactions within the urban context. This research contributes to a deeper comprehension of the intricate interplay between human behaviour, urban dynamics, and the underlying fractal nature of cities.</p>}},
author = {{Deppman, A. and Fagundes, R. L. and Megías, E. and Pasechnik, R. and Ribeiro, F. L. and Tsallis, C.}},
issn = {{0960-0779}},
keywords = {{Allometric scaling; Dynamic equation; Fractal dimension; Nonextensive systems; Nonlinear diffusion; Tsallis Statistics}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Chaos, Solitons and Fractals}},
title = {{Nonlinear dynamics approach to urban scaling}},
url = {{http://dx.doi.org/10.1016/j.chaos.2024.115877}},
doi = {{10.1016/j.chaos.2024.115877}},
volume = {{191}},
year = {{2025}},
}