| Full text | |
| Author(s): |
de Paiva, Luam Silva
;
Rocha, Julia G. S.
;
Hermes, Joelson D. V.
;
Hansen, Matheus
;
Viana, Ricardo Luiz
;
Caldas, Ibere Luiz
;
Medrano-T, Rene O.
;
da Costa, Diogo Ricardo
Total Authors: 8
|
| Document type: | Journal article |
| Source: | Chaos; v. 35, n. 1, p. 15-pg., 2025-01-01. |
| Abstract | |
This study focuses on the analysis of a unique composition between two well-established models, known as the Logistic-Gauss map. The investigation cohesively transitions to an exploration of parameter space, essential for unraveling the complexity of dissipative mappings and understanding the intricate relationships between periodic structures and chaotic regions. By manipulating control parameters, our approach reveals intriguing patterns, with findings enriched by extreme orbits, trajectories that connect local maximum and minimum values of one-dimensional maps. This theory enhances our perception of structural organization and offers valuable perceptions of the system behaviors, contributing to an expanded understanding of chaos and periodicity in dynamic systems. The analysis reveals Complex Sets of Periodicity (CSP) in the parameter space, characterized by superstable curves that traverse their main bodies. The exploration of different combinations of parameters shows cascades of CSP structures with added periods and are organized based on extreme curves. This investigation offers valuable discoveries of the dynamics of dissipative mappings, opening avenues for future explorations in chaotic systems. (AU) | |
| FAPESP's process: | 15/50122-0 - Dynamic phenomena in complex networks: basics and applications |
| Grantee: | Elbert Einstein Nehrer Macau |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 20/02415-7 - StatGraph 2.0 and Massive Open Online Course (MOOC) |
| Grantee: | Diogo Ricardo da Costa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 24/06718-5 - Basins of Attraction: From unidimensional maps to complex networks |
| Grantee: | Rene Orlando Medrano Torricos |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/09150-1 - Effect of time delay and plasticity in neuronal synchronization |
| Grantee: | Matheus Hansen Francisco |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |