Results 91 to 100 of about 5,108 (187)
Bifurcation diagrams for singularly perturbed system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point.
Matteo Franca
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Bifurcations of heteroclinic loops with nonresonant eigenvalues
Journal of Mathematics and Computer Science, 2017 Summary: In this paper, we use the way of local coordinates instead of the Floquet method to study the problems of homoclinic and periodic orbits bifurcated from heteroclinic loop for high-dimensional system. Under some transversal conditions and the non-twisted or twisted conditions, we discuss the existence, uniqueness, coexistence, and non ...
Guo, Zheng +3 more
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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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The dynamics of a simple Laissez-Faire model with two predators
Mathematical Biosciences and Engineering, 2008 In this paper, we study the dynamics of a laissez-faire predator--prey model with both a specialist and a generalist predator. We analyze the stabilities of equilibria by performing linearized stability analyses.
Gunog Seo, Mark Kot
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AIP Advances, 2020 In the present analysis, the effects of an asymmetric peristaltic movement on the bifurcations of stagnation points have been investigated. An exact analytic solution for a flow of an incompressible micropolar fluid has been established under long ...
Nasir Ali, Kaleem Ullah
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On a codimension $2$ bifurcation of heteroclinic orbits
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1987 The author proves under certain conditions the existence of a heteroclinic orbit for the perturbed equation if such heteroclinic orbit exists for the unperturbed equation. From the text: We consider a bifurcation problem of heteroclinic orbits for a family of ODEs on \(\mathbb R^n\).
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Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
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Bifurcation characteristics and safe basin of MSMA microgripper subjected to stochastic excitation
AIP Advances, 2015 A kind of magnetic shape memory alloy (MSMA) microgripper is proposed in this paper, and its nonlinear dynamic characteristics are studied when the stochastic perturbation is considered.
Z. W. Zhu, X. M. Li, J. Xu
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Heteroclinic bifurcation theory and Riemann problems
Matemática Contemporânea, 1992 The author considers the system of two conservation laws in one space dimension and describes the heteroclinic bifurcation theory approach to the Riemann problems for this system.
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Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide
Shock and Vibration, 2019 In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang +3 more
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