Publication
Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions
| dc.contributor.author | Rocha, J. Leonel | |
| dc.contributor.author | Taha, Abdel-Kaddous | |
| dc.contributor.author | Fournier-Prunaret, D. | |
| dc.date.accessioned | 2017-07-18T10:45:49Z | |
| dc.date.available | 2017-07-18T10:45:49Z | |
| dc.date.issued | 2016-06 | |
| dc.description.abstract | The main purpose of this work is to study the dynamics and bifurcation properties of generic growth functions, which are defined by the population size functions of the generic growth equation. This family of unimodal maps naturally incorporates a principal focus of ecological and biological research: the Allee effect. The analysis of this kind of extinction phenomenon allows to identify a class of Allee’s functions and characterize the corresponding Allee’s effect region and Allee’s bifurcation curve. The bifurcation analysis is founded on the performance of fold and flip bifurcations. The dynamical behavior is rich with abundant complex bifurcation structures, the big bang bifurcations of the so-called “box-within-a-box” fractal type being the most outstanding. Moreover, these bifurcation cascades converge to different big bang bifurcation curves with distinct kinds of boxes, where for the corresponding parameter values several attractors are associated. To the best of our knowledge, these results represent an original contribution to clarify the big bang bifurcation analysis of continuous 1D maps. | pt_PT |
| dc.description.sponsorship | UID/MAT/00006/2013 | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | ROCHA, J. Leonel; TAHA, Abdel-Kaddous; FOURNIER-PRUNARET,D. - Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions. International Journal of Bifurcation and Chaos. ISSN 0218-1274. Vol. 26, N. º 6 (2016), pp. 1650108-1-1650108-20 | pt_PT |
| dc.identifier.doi | 10.1142/S021812741650108X | pt_PT |
| dc.identifier.issn | 0218-1274 | |
| dc.identifier.issn | 1793-6551 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/7275 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | World Scientific Publishing | pt_PT |
| dc.subject | Generic growth functions | pt_PT |
| dc.subject | Population dynamics | pt_PT |
| dc.subject | Allee effect | pt_PT |
| dc.subject | Big bang bifurcations | pt_PT |
| dc.subject | Fold and flip bifurcations | pt_PT |
| dc.title | Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1650108-20 | |
| oaire.citation.issue | 6 | pt_PT |
| oaire.citation.startPage | 1650108-1 | |
| oaire.citation.title | International Journal of Bifurcation and Chaos | pt_PT |
| oaire.citation.volume | 26 | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |