Is the public goods game a chaotic system?

Bazeia, D.; Ferreira, M. J. B.; de Oliveira, B. F.

doi:10.1209/0295-5075/ad01d9

EPL

2023

DOI: 10.1209/0295-5075/ad01d9

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Is the public goods game a chaotic system?

D. Bazeia,

M. J. B. Ferreira,

B. F. de Oliveira

Abstract: This work deals with the time evolution of the Hamming distance density for the public goods game. We consider two typical distinct possibilities, which are exactly described by q-exponential functions, suggesting that the system belongs to the class of weakly-chaotic systems.

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2024

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Chaotic behavior in Lotka–Volterra and May–Leonard models of biodiversity

Bazeia,

Bongestab,

de Oliveira

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Quantification of chaos is a challenging issue in complex dynamical systems. In this paper, we discuss the chaotic properties of generalized Lotka–Volterra and May–Leonard models of biodiversity, via the Hamming distance density. We identified chaotic behavior for different scenarios via the specific features of the Hamming distance and the method of q-exponential fitting. We also investigated the spatial autocorrelation length to find the corresponding characteristic length in terms of the number of species in each system. In particular, the results concerning the characteristic length are in good accordance with the study of the chaotic behavior implemented in this work.

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Chaotic behavior in Lotka–Volterra and May–Leonard models of biodiversity

Bazeia,

Bongestab,

de Oliveira

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

show abstract

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Is the public goods game a chaotic system?

Abstract: This work deals with the time evolution of the Hamming distance density for the public goods game. We consider two typical distinct possibilities, which are exactly described by q-exponential functions, suggesting that the system belongs to the class of weakly-chaotic systems.

Cited by 1 publication

References 24 publications

Chaotic behavior in Lotka–Volterra and May–Leonard models of biodiversity

Chaotic behavior in Lotka–Volterra and May–Leonard models of biodiversity

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