Dynamics of Multimodal Families of m-Modal Maps
In this work, we introduce families of multimodal maps based on logistic map, i.e., families of m-modal maps are defined on an interval I⊂ℝ, which is partitioned into non-uniform subdomains, with m∈ℕ. Because the subdomains of the partition are not uniform, each subdomain contains a unimodal map, gi...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/4340794 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this work, we introduce families of multimodal maps based on logistic map, i.e., families of m-modal maps are defined on an interval I⊂ℝ, which is partitioned into non-uniform subdomains, with m∈ℕ. Because the subdomains of the partition are not uniform, each subdomain contains a unimodal map, given by the logistic map, that can have different heights. Therefore, we give the necessary and sufficient conditions for these modal maps present a multimodal family of m-modal maps, i.e., a bifurcation parameter can set a unimodal map, a bimodal map, up to a m-modal map. Some numerical examples are given according to the developed theory. Some numerical examples are given in accordance with the developed theory. |
|---|---|
| ISSN: | 1099-0526 |