Embong, Ahmad Fadillah and Mukhamedov, Farrukh
(2023)
*Lyapunov functions and dynamics of infinite dimensional volterra operators.*
Chaos, Solitons and Fractals, 173
(NA).
NA-NA.
ISSN 0960-0779

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1016/j.chaos.2023.113625

## Abstract

The majority of research on quadratic stochastic operators (QSOs) was done on a finite-dimensional set of all probability distributions (also known as a simplex), thus it is intriguing to extend them for an infinite case. In particular, the infinite dimensional Volterra operators are discussed in the current paper. Due to the fact non-compactness of infinite dimensional simplex (unlike a finite case) makes the general study challenging, therefore, a sub-class of infinite dimensional Volterra operators is introduced. Furthermore, we construct Lyapunov functions which allow us to explore the dynamics of the introduced operators. Several examples are given with a full description of the limiting set.

Item Type: | Article |
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Uncontrolled Keywords: | Infinite dimensional, Limiting set, Lyapunov function, Quadratic stochastic operators |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 105876 |

Deposited By: | Widya Wahid |

Deposited On: | 20 May 2024 07:24 |

Last Modified: | 20 May 2024 07:24 |

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