The Characteristic Relation in Two-Dimensional Type I Intermittency
To explore intermittency in discrete systems with two or more degrees of freedom, we analyze the general characteristics of type I intermittency within a two-dimensional map. This investigation is carried out numerically, concentrating on the system’s attractors, bifurcation diagrams, and the charac...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/1/24 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832589123412557824 |
|---|---|
| author | Juan Colman Sergio Elaskar |
| author_facet | Juan Colman Sergio Elaskar |
| author_sort | Juan Colman |
| collection | DOAJ |
| description | To explore intermittency in discrete systems with two or more degrees of freedom, we analyze the general characteristics of type I intermittency within a two-dimensional map. This investigation is carried out numerically, concentrating on the system’s attractors, bifurcation diagrams, and the characteristic relation associated with type I intermittency. We present two methods for determining the laminar interval and the channel structure. Our computations yield numerical results for the average laminar length as a function of the control parameter, which we then compare with findings from intermittency in one-dimensional maps. We observe a strong agreement between the numerical data and the theoretical predictions. |
| format | Article |
| id | doaj-art-7587e463c81b45c5a1ccf0c5da619921 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-7587e463c81b45c5a1ccf0c5da6199212025-01-24T13:22:11ZengMDPI AGAxioms2075-16802024-12-011412410.3390/axioms14010024The Characteristic Relation in Two-Dimensional Type I IntermittencyJuan Colman0Sergio Elaskar1Departamento de Ingeniería Aeroespacial, FCEFyN, Universidad Nacional de Córdoba e Instituto de Estudios Avanzados en Ingeniería y Tecnología, CONICET, Córdoba 5000, ArgentinaDepartamento de Ingeniería Aeroespacial, FCEFyN, Universidad Nacional de Córdoba e Instituto de Estudios Avanzados en Ingeniería y Tecnología, CONICET, Córdoba 5000, ArgentinaTo explore intermittency in discrete systems with two or more degrees of freedom, we analyze the general characteristics of type I intermittency within a two-dimensional map. This investigation is carried out numerically, concentrating on the system’s attractors, bifurcation diagrams, and the characteristic relation associated with type I intermittency. We present two methods for determining the laminar interval and the channel structure. Our computations yield numerical results for the average laminar length as a function of the control parameter, which we then compare with findings from intermittency in one-dimensional maps. We observe a strong agreement between the numerical data and the theoretical predictions.https://www.mdpi.com/2075-1680/14/1/24two-dimensionalmapintermittencycharacteristic relationlaminar interval |
| spellingShingle | Juan Colman Sergio Elaskar The Characteristic Relation in Two-Dimensional Type I Intermittency Axioms two-dimensional map intermittency characteristic relation laminar interval |
| title | The Characteristic Relation in Two-Dimensional Type I Intermittency |
| title_full | The Characteristic Relation in Two-Dimensional Type I Intermittency |
| title_fullStr | The Characteristic Relation in Two-Dimensional Type I Intermittency |
| title_full_unstemmed | The Characteristic Relation in Two-Dimensional Type I Intermittency |
| title_short | The Characteristic Relation in Two-Dimensional Type I Intermittency |
| title_sort | characteristic relation in two dimensional type i intermittency |
| topic | two-dimensional map intermittency characteristic relation laminar interval |
| url | https://www.mdpi.com/2075-1680/14/1/24 |
| work_keys_str_mv | AT juancolman thecharacteristicrelationintwodimensionaltypeiintermittency AT sergioelaskar thecharacteristicrelationintwodimensionaltypeiintermittency AT juancolman characteristicrelationintwodimensionaltypeiintermittency AT sergioelaskar characteristicrelationintwodimensionaltypeiintermittency |