Results 51 to 60 of about 6,100 (243)
Some results on homoclinic and heteroclinic connections in planar systems [PDF]
, 2009 Consider a family of planar systems depending on two parameters $(n,b)$ and having at most one limit cycle. Assume that the limit cycle disappears at some homoclinic (or heteroclinic) connection when $\Phi(n,b)=0.$ We present a method that allows to ...
Andronov A A +12 more
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Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model
Advances in Difference Equations, 2019 In this paper, bifurcation analysis of a discrete Hindmarsh–Rose model is carried out in the plane. This paper shows that the model undergoes a flip bifurcation, a Neimark–Sacker bifurcation, and 1:2 $1:2$ resonance which includes a pitchfork bifurcation,
Bo Li, Qizhi He
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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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Spiralling dynamics near heteroclinic networks [PDF]
, 2013 There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of vector fields} on the three-dimensional sphere $\EU^3$, whose flow has a ...
Address Of Alex +7 more
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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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Dependence of chaotic behavior on optical properties and electrostatic effects in double beam torsional Casimir actuation [PDF]
, 2018 We investigate the influence of Casimir and electrostatic torques on double beam torsional microelectromechanical systems with materials covering a broad range of conductivities of more than three orders of magnitude.
Masoudi, A. A. +4 more
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Nearly inviscid Faraday waves in containers with broken symmetry [PDF]
, 2005 In the weakly inviscid regime parametrically driven surface gravity-capillary waves generate oscillatory viscous boundary layers along the container walls and the free surface.
Higuera, María +2 more
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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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