Bifurcation Structures of the Homographic γ-Ricker Maps and Their Cusp Points Organization

Autor: J. Leonel Rocha, Abdel-Kaddous Taha

Publikováno v: International Journal of Bifurcation and Chaos. 33

This paper aims to study the bifurcation structures of the homographic [Formula: see text]-Ricker maps in a four-dimensional parameter space. The generalized Lambert [Formula: see text] functions are used to establish upper bounds for the number of f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0cadcd1a8b6a5102a1aae30cbbafbf74
https://doi.org/10.1142/s0218127423300112

Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

Autor: J. Leonel Rocha, Abdel-Kaddous Taha

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

An embedding of one-dimensional generic growth functions into a two-dimensional diffeomorphism is considered. This family of unimodal maps naturally incorporates a key item of ecological and biological research: the Allee effect. Consequently, the pr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f364df877352bba5968c7df3956941f0
https://doi.org/10.1007/s11071-019-04759-3

Generalized r-Lambert Function in the Analysis of Fixed Points and Bifurcations of Homographic 2-Ricker Maps

Autor: J. Leonel Rocha, Abdel-Kaddous Taha

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

This paper aims to study the nonlinear dynamics and bifurcation structures of a new mathematical model of the [Formula: see text]-Ricker population model with a Holling type II per-capita birth function, where the Allee effect parameter is [Formula:

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00160095165ff51ba8a4b02fc4f3c537
https://doi.org/10.1142/s0218127421300330

Bifurcations in 2D Spatiotemporal Maps

Autor: Abdel-Kaddous Taha, Louis Randriamihamison, Mohamed Lamine Sahari

Publikováno v: International Journal of Bifurcation and Chaos. 31:2150091

In this work, we give theoretical and numerical analyses for local bifurcations of 2D spatiotemporal discrete systems of the form [Formula: see text] where [Formula: see text] is a real nonlinear function, [Formula: see text] and [Formula: see text]

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::edddfff291fbd4221c10de37761eaa39
https://doi.org/10.1142/s0218127421500917

Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions

Autor: Danièle Fournier-Prunaret, J. Leonel Rocha, Abdel-Kaddous Taha

Publikováno v: International journal of bifurcation and chaos in applied sciences and engineering
International journal of bifurcation and chaos in applied sciences and engineering, World Scientific Publishing, 2016, 26 (11), ⟨10.1142/S0218127416300305⟩
International journal of bifurcation and chaos in applied sciences and engineering, 2016, 26 (11), ⟨10.1142/S0218127416300305⟩
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

International audience; In this paper, we study the dynamics and bifurcation properties of a three-parameter family of 1D Gompertz's growth functions, which are defined by the population size functions of the Gompertz logistic growth equation. The dy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d81e9ddb9b02c12bf278b86dc5ea5b8
https://hal.laas.fr/hal-01760740