Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism

DOI10.1142/S0218127417300300zbMath1373.37121OpenAlexW2751562407MaRDI QIDQ5371164

No author found.

Publication date: 25 October 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417300300

zbMATH Keywords

diffeomorphismhomoclinic bifurcationsfold and flip bifurcationsbig bang bifurcationsAllee's functions

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect ⋮ Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect ⋮ Bifurcation Analysis of the γ-Ricker Population Model Using the Lambert W Function ⋮ Allee’s Effect Bifurcation in Generalized Logistic Maps ⋮ Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explosion birth and extinction: double big bang bifurcations and Allee effect in Tsoularis-Wallace's growth models
• Critical homoclinic orbits lead to snap-back repellers
• Big bang bifurcations and Allee effect in Blumberg's dynamics
• STUDY OF A TWO-DIMENSIONAL ENDOMORPHISM BY USE OF THE PARAMETRIC SINGULARITIES
• Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions
• Big Bang Bifurcation Analysis and Allee Effect in Generic Growth Functions
• Embedding of a Dim1 Piecewise Continuous and Linear Leonov Map into a Dim2 Invertible Map
• Bifurcations of one- and two-dimensional maps
• Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
• SINGULAR POINTS WITH TWO MULTIPLIERS, S₁=−S₂=1, IN THE BIFURCATION CURVES OF MAPS
• DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP
• On Iterated Maps of the Interval with Holes
• On the Embedding of a (p-1)-Dimensional Noninvertible Map into a p-Dimensional Invertible Map (p=2,3)
• A new kind of parametric singularities and their use for the study of the bifurcation structure of an n-dimensional map

This page was built for publication: Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism