Results 61 to 70 of about 710,736 (219)

Periodic orbits for an autonomous version of the Duffing–Holmes oscillator

Nonlinear Analysis
In the autonomous Duffing–Holmes oscillator, the existence of periodic orbits was detected numerically. Using the Hopf bifurcation theory, we prove analytically that such periodic orbits exist.
Guangfeng Dong, Jaume Llibre
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Stability and Hopf bifurcation periodic orbits in delay coupled Lotka-Volterra ring system

Open Mathematics, 2019
In this paper, we consider a class of delay coupled Lotka-Volterra ring systems. Based on the symmetric bifurcation theory of delay differential equations and representation theory of standard dihedral groups, properties of phase locked periodic ...
Su Rina, Zhang Chunrui
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Bifurcation Analysis of a Class of Two-Delay Lotka–Volterra Predation Models with Coefficient-Dependent Delay

Mathematics
In this paper, a class of two-delay differential equations with coefficient-dependent delay is studied. The distribution of the roots of the eigenequation is discussed, and conditions for the stability of the internal equilibrium and the existence of ...
Xiuling Li, Haotian Fan
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On the Confluences and Bifurcations of certain Theories [PDF]

Proceedings of the London Mathematical Society, 1888
n ...
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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration

Electronic Journal of Qualitative Theory of Differential Equations, 2016
A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
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On the bifurcation of periodic orbits [PDF]

arXiv, 2001
This article is a survey on recent contributions to an effective version of Bautin's theory about the bifurcation of periodic orbits (limit cycles). The analysis of Hopf bifurcations of higher order is possible by use of the return mapping. Explicit estimates of the size of the domain on which the number of limit cycles is controlled are important in ...
arxiv  

Applied bifurcation theory [PDF]

Nature, 1980
Bifurcation Theory and Applications in Scientific Disciplines. Edited by O. Gurel and O.E. Rossler. Pp.708. (New York Academy of Sciences: New York, 1979.) $85.
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Bifurcation Analysis in Population Genetics Model with Partial Selfing

Abstract and Applied Analysis, 2013
A new model which allows both the effect of partial selfing selection and an exponential function of the expected payoff is considered. This combines ideas from genetics and evolutionary game theory.
Yingying Jiang, Wendi Wang
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Numerical bifurcation and hybrid control of a Gompertz model with time delay

Journal of Hebei University of Science and Technology, 2019
In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
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Coexistence of steady state for a diffusive prey-predator model with harvesting

Electronic Journal of Differential Equations, 2016
In this article, we study a diffusive prey-predator model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting, subject to homogeneous Dirichlet boundary conditions.
Yan Li
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