Results 21 to 30 of about 401 (174)
Hopf-zero bifurcation of Oregonator oscillator with delay
Advances in Difference Equations, 2018 In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by performing a center manifold reduction and using
Yuting Cai, Liqin Liu, Chunrui Zhang
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Dynamics of a plant-herbivore model with a chemically-mediated numerical response
Mathematics in Applied Sciences and Engineering, 2021 A system of two ordinary differential equations is proposed to model chemically-mediated interactions between plants and herbivores by incorporating a toxin-modified numerical response.
Lin Wang, James Watmough, Fang Yu
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Mathematics, 2022 Jump and excessive motion are undesirable phenomena in relative rotation systems, causing a loss of global integrity and reliability of the systems. In this work, a typical relative rotation system is considered in which jump, excessive motion, and their
Ziyin Cui, Huilin Shang
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Bifurcation and chaos for piecewise nonlinear roll system of rolling mill
Advances in Mechanical Engineering, 2017 A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed.
Chundi Si +3 more
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Fear Effect on a Predator–Prey Model with Non-Differential Fractional Functional Response
Fractal and Fractional, 2023 In this paper, we study the factor of the fear effect in a predator–prey model with prey refuge and a non-differentiable fractional functional response due to the group defense.
Salam Mohammed Ghazi Al-Mohanna +1 more
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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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Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Abstract and Applied Analysis, 2013 The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
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Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation
Abstract and Applied Analysis, 2014 The bifurcation of a nongeneric homoclinic orbit (i.e., the orbit comes from the equilibrium along the unstable manifold instead of the center manifold) connecting a nonhyperbolic equilibrium is investigated, and the nonhyperbolic equilibrium undergoes ...
Fengjie Geng, Song Li
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Bifurcation Diagrams and Heteroclinic Networks of Octagonal H-Planforms [PDF]
Journal of Nonlinear Science, 2012 The mechanism of pattern formation in the Euclidian space \(\mathbb{R}^p\) is well known and described in detail in many works on equivariant bifurcation theory. In a previous work of the second author, \textit{G. Fave} and \textit{O. Fangeras} [J. Nonlinear Sci. 21, No.
Faye, Grégory, Chossat, Pascal
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Bifurcation of heteroclinic orbits for diffeomorphisms [PDF]
Applications of Mathematics, 1991 Using the Lyapunov-Schmidt method in bifurcation theory [\textit{S. N. Chow} and \textit{J. K. Hale}, Methods of Bifurcation Theory (1982; Zbl 0487.47039)], the author investigates bifurcations of heteroclinic orbits of diffeomorphisms \(\Phi: \mathbb{R}^ 2\to \mathbb{R}^ 2\), \(\Phi(x,y)=(f(x),g(x,y))\), where \(g(x,0)\equiv0\), \(x\in(-1/2,3/2 ...
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