Academic Journal
Discrete dynamical systems with scaling and inversion symmetries.
| Title: | Discrete dynamical systems with scaling and inversion symmetries. |
|---|---|
| Authors: | dos Santos, Vaguiner Rodrigues1 (AUTHOR) vaguiner@usp.br, Chipicoski Gabrick, Enrique1 (AUTHOR) ecgabrick@gmail.com, Denis Leonel, Edson2 (AUTHOR), Luiz Caldas, Iberê1 (AUTHOR) |
| Source: | Chaos. Jun2026, Vol. 36 Issue 6, p1-11. 11p. |
| Subject Terms: | *Lyapunov exponents, *Scale invariance (Statistical physics), *Geometric approach, *Symmetry, *Discrete systems, *Chaos theory, *Dimensionless numbers |
| Abstract: | In this work, we investigate scale invariance in the temporal evolution and chaotic regime of discrete dynamical systems. By exploiting the close interrelation between scaling and inversion transformations, we formulate scale symmetry in terms of inversion symmetry. As applications of our approach, we determine fractal dimensions and compute Lyapunov exponents for paradigmatic dynamical systems using scaling and inversion symmetries. By comparing our method with standard approaches, we obtain identical numerical values for the Lyapunov exponents using only a small number of iterations. Furthermore, our geometric-based framework naturally provides access to the fractal dimension. The agreement with standard results demonstrates that the proposed method is efficient and can be effectively employed in the study of dynamical systems. [ABSTRACT FROM AUTHOR] |
| Database: | Academic Search Index |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=10541500&ISBN=&volume=36&issue=6&date=20260601&spage=1&pages=1-11&title=Chaos&atitle=Discrete%20dynamical%20systems%20with%20scaling%20and%20inversion%20symmetries.&aulast=dos%20Santos%2C%20Vaguiner%20Rodrigues&id=DOI:10.1063/5.0325437 Name: Full Text Finder (for New FTF UI) (ns324271) Category: fullText Text: Full Text Finder MouseOverText: Full Text Finder |
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| Items | – Name: Title Label: Title Group: Ti Data: Discrete dynamical systems with scaling and inversion symmetries. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22dos+Santos%2C+Vaguiner+Rodrigues%22">dos Santos, Vaguiner Rodrigues</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> vaguiner@usp.br</i><br /><searchLink fieldCode="AR" term="%22Chipicoski+Gabrick%2C+Enrique%22">Chipicoski Gabrick, Enrique</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ecgabrick@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Denis+Leonel%2C+Edson%22">Denis Leonel, Edson</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Luiz+Caldas%2C+Iberê%22">Luiz Caldas, Iberê</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Chaos%22">Chaos</searchLink>. Jun2026, Vol. 36 Issue 6, p1-11. 11p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br />*<searchLink fieldCode="DE" term="%22Scale+invariance+%28Statistical+physics%29%22">Scale invariance (Statistical physics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Geometric+approach%22">Geometric approach</searchLink><br />*<searchLink fieldCode="DE" term="%22Symmetry%22">Symmetry</searchLink><br />*<searchLink fieldCode="DE" term="%22Discrete+systems%22">Discrete systems</searchLink><br />*<searchLink fieldCode="DE" term="%22Chaos+theory%22">Chaos theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work, we investigate scale invariance in the temporal evolution and chaotic regime of discrete dynamical systems. By exploiting the close interrelation between scaling and inversion transformations, we formulate scale symmetry in terms of inversion symmetry. As applications of our approach, we determine fractal dimensions and compute Lyapunov exponents for paradigmatic dynamical systems using scaling and inversion symmetries. By comparing our method with standard approaches, we obtain identical numerical values for the Lyapunov exponents using only a small number of iterations. Furthermore, our geometric-based framework naturally provides access to the fractal dimension. The agreement with standard results demonstrates that the proposed method is efficient and can be effectively employed in the study of dynamical systems. [ABSTRACT FROM AUTHOR] |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1063/5.0325437 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 1 Subjects: – SubjectFull: Lyapunov exponents Type: general – SubjectFull: Scale invariance (Statistical physics) Type: general – SubjectFull: Geometric approach Type: general – SubjectFull: Symmetry Type: general – SubjectFull: Discrete systems Type: general – SubjectFull: Chaos theory Type: general – SubjectFull: Dimensionless numbers Type: general Titles: – TitleFull: Discrete dynamical systems with scaling and inversion symmetries. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: dos Santos, Vaguiner Rodrigues – PersonEntity: Name: NameFull: Chipicoski Gabrick, Enrique – PersonEntity: Name: NameFull: Denis Leonel, Edson – PersonEntity: Name: NameFull: Luiz Caldas, Iberê IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10541500 Numbering: – Type: volume Value: 36 – Type: issue Value: 6 Titles: – TitleFull: Chaos Type: main |
| ResultId | 1 |