Results 61 to 70 of about 648 (183)
Creation of hidden $ n $-scroll Lorenz-like attractors
Electronic Research ArchiveCompared with the recently reported hidden two-scroll Lorenz-like attractors in symmetric quadratic and sub-quadratic Lorenz-like dynamical systems, little seems to be concerned with the generation of hidden $ n $-scroll ($ n\in\mathbb{N} $) attractors ...
Jun Pan, Haijun Wang, Feiyu Hu
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Abstract and Applied Analysis, 2013 A delayed Leslie-Gower predator-prey model with nonmonotonic functional response is studied. The existence and local stability of the positive equilibrium of the system with or without delay are completely determined in the parameter plane.
Jiao Jiang, Yongli Song
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Heteroclinic cycles emanating from local bifurcations
Manuscripta Mathematica, 1994 The paper deals with a two-parameter system of ordinary differential equations on \(\mathbb{R}^ n\) \((1) : \dot x = f(x, \lambda, \alpha)\), where \(f\) is \(Z_ 2\)-symmetric, i.e. there exists a linear mapping \(g : \mathbb{R}^ n \to \mathbb{R}^ n\) such that \(g^ 2 = I\), \(g \neq I\) and \(gf(x, \lambda, \alpha) = f(gx, \lambda, \alpha)\) for all \(
Wu, Wei, Zou, Yongkui, Huang, Mingyou
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Intransitivity in plant–soil feedbacks is rare but is associated with multispecies coexistence
Ecology Letters, Volume 27, Issue 3, March 2024.Plant–soil feedbacks (PSFs) impose similarly strong fitness differences and stabilizing‐destabilizing forces, most often impeding species coexistence. At the community level, PSFs alone do not explain coexistence in species‐rich communities. A topological analysis of the PSF interactions network shows that full intransitivity would be rare in the ...
Mariona Pajares‐Murgó +8 more
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Ecology, Volume 105, Issue 2, February 2024.Abstract A growing body of literature recognizes that pairwise species interactions are not necessarily an appropriate metaphorical molecule of community ecology. Two examples are intransitive competition and nonlinear higher‐order effects. While these two processes have been discussed extensively, the explicit analysis of how the two of them behave ...
John Vandermeer, Ivette Perfecto
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Relaxation Oscillation in SEIR Epidemic Models with the Intrinsic Growth Rate
Complexity, Volume 2024, Issue 1, 2024.The periodic oscillation transmission of infectious diseases is widespread, deep understanding of this periodic pattern and exploring the generation mechanism, and identifying the specific factors that lead to such periodic outbreaks, which are of very importanceto predict and control the spread of infectious diseases.
Yingying Zhang +3 more
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Complexity, Volume 2024, Issue 1, 2024.We study the existence of fixed points, local stability analysis, bifurcation sets at fixed points, codimension‐one and codimension‐two bifurcation analysis, and chaos control in a predator‐prey model with Holling types I and III functional responses. It is proven that the model has a trivial equilibrium point for all involved parameters but interior ...
Abdul Qadeer Khan +4 more
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An Example of Symmetry Breaking to Heteroclinic Cycles
Journal of Differential Equations, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Chuanze, Golubitsky, Martin
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Dynamics on semi-discrete Mackey-Glass model
AIMS MathematicsRed blood cells play an extremely important role in human metabolism, and the study of hematopoietic models is of great significance in biology and medicine.
Yulong Li, Long Zhou, Fengjie Geng
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Bifurcations of a Pair of Nonorientable Heteroclinic Cycles
Journal of Mathematical Analysis and Applications, 1998 The authors study some bifurcation problems of a pair of nonorientable heteroclinic cycles of vector fields, which are related to the study of Lorenz equations. The presence of both nonorientable cycles provides \(\Omega\)-explosion. The authors analyze what kinds of bifurcation behaviour happen for a generic two-parameter unfolding of a system with a ...
Dongwen, Qi, Zhujun, Jing
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