| Campo DC | Valor | Idioma |
|---|
| dc.contributor.author | Bohner, Martin | - |
| dc.contributor.author | Mesquita, Jaqueline Godoy | - |
| dc.contributor.author | Streipert, Sabrina | - |
| dc.date.accessioned | 2025-09-26T11:40:31Z | - |
| dc.date.available | 2025-09-26T11:40:31Z | - |
| dc.date.issued | 2024-06-28 | - |
| dc.identifier.citation | BOHNER, Martin; MESQUITA, Jaqueline Godoy; STREIPERT, Sabrina. Generalized periodicity and applications to logistic growth. Chaos, Solitons & Fractals, [S.l.], v. 186, e115139, 2024. DOI: https://doi.org/10.1016/j.chaos.2024.115139. Disponível em: https://www.sciencedirect.com/science/article/pii/S096007792400691X?via%3Dihub. Acesso em: 07 ago. 2025. | pt_BR |
| dc.identifier.uri | http://repositorio.unb.br/handle/10482/52521 | - |
| dc.language.iso | eng | pt_BR |
| dc.publisher | Elsevier | pt_BR |
| dc.rights | Acesso Aberto | pt_BR |
| dc.title | Generalized periodicity and applications to logistic growth | pt_BR |
| dc.type | Artigo | pt_BR |
| dc.subject.keyword | Equações diferenciais lineares | pt_BR |
| dc.subject.keyword | Existência e unicidade | pt_BR |
| dc.subject.keyword | Conjectura de Cushing-Henson | pt_BR |
| dc.rights.license | This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/). | pt_BR |
| dc.identifier.doi | https://doi.org/10.1016/j.chaos.2024.115139 | pt_BR |
| dc.description.abstract1 | Classically, a continuous function 𝑓 ∶ R → R is periodic if there exists an 𝜔 > 0 such that 𝑓(𝑡 + 𝜔) = 𝑓(𝑡)
for all 𝑡 ∈ R. The extension of this precise definition to functions 𝑓 ∶ Z → R is straightforward. However,
in the so-called quantum case, where 𝑓 ∶ 𝑞
N0 → R (𝑞 > 1), or more general isolated time scales, a different
definition of periodicity is needed. A recently introduced definition of periodicity for such general isolated
time scales, including the quantum calculus, not only addressed this gap but also inspired this work. We now
return to the continuous case and present the concept of 𝜈-periodicity that connects these different formulations
of periodicity for general discrete time domains with the continuous domain. Our definition of 𝜈-periodicity
preserves crucial translation invariant properties of integrals over 𝜈-periodic functions and, for 𝜈(𝑡) = 𝑡 + 𝜔,
𝜈-periodicity is equivalent to the classical periodicity condition with period 𝜔. We use the classification of
𝜈-periodic functions to discuss the existence and uniqueness of 𝜈-periodic solutions to linear homogeneous
and nonhomogeneous differential equations. If 𝜈(𝑡) = 𝑡 + 𝜔, our results coincide with the results known for
periodic differential equations. By using our concept of 𝜈-periodicity, we gain new insights into the classes
of solutions to linear nonautonomous differential equations. We also investigate the existence, uniqueness,
and global stability of 𝜈-periodic solutions to the nonlinear logistic model and apply it to generalize the
Cushing–Henson conjectures, originally formulated for the discrete Beverton–Holt model. | pt_BR |
| dc.identifier.orcid | https://orcid.org/0000-0001-8310-0266 | pt_BR |
| dc.identifier.orcid | https://orcid.org/0000-0002-1255-9384 | pt_BR |
| dc.identifier.orcid | https://orcid.org/0000-0002-5380-8818 | pt_BR |
| dc.contributor.affiliation | Missouri University of Science and Technology, Department of Mathematics and Statistics | pt_BR |
| dc.contributor.affiliation | University of Brasilia, Department of Mathematics | pt_BR |
| dc.contributor.affiliation | University of Pittsburgh, Department of Mathematics | pt_BR |
| dc.description.unidade | Instituto de Ciências Exatas (IE) | pt_BR |
| dc.description.unidade | Departamento de Matemática (IE MAT) | pt_BR |
| Aparece nas coleções: | Artigos publicados em periódicos e afins
|
