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September 12, 2025Ufimskii Matematicheskii ZhurnalOpen Access

Dynamical systems of quadratic operators on set of idempotent measures

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Authors

IJI. T. JuraevURU. A. Rozikov

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Overview

Analysis of dynamical systems generated by Volterra quadratic operators on idempotent measures, highlighting fixed points.

Key Points

  • Fixed points and trajectory limits were identified for quadratic operators in idempotent measures.
  • General properties of Volterra quadratic operators are established, especially in low-dimensional simplices.
  • Special attention is given to dynamical systems generated from specific Volterra quadratic operators.
  • Analysis covers idempotent measures in 2 and 3-dimensional simplices, revealing unique dynamics.

Cite This Study

Juraev et al. (2025) studied this question.

synapsesocial.com/papers/68d44b3031b076d99fa54745https://doi.org/10.13108/2025-17-3-121
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