Results 71 to 80 of about 78,418 (212)
Bifurcation diagram of a cubic three-parameter autonomous system
Electronic Journal of Differential Equations, 2005 In this paper, we study the cubic three-parameter autonomous planar system $$displaylines{ dot x_1 = k_1 + k_2x_1 - x_1^3 - x_2,cr dot x_2 = k_3 x_1 - x_2, }$$ where $k_2, k_3$ are greater than 0.
Lenka Barakova, Evgenii P. Volokitin
doaj
Backward Bifurcation in SIVS Model with Immigration of Non-Infectives
Biomath, 2014 This paper investigates a simple SIVS (susceptible-infected-vaccinated-susceptible) disease transmission model with immigration of susceptible and vaccinated individuals.
Diána H Knipl, Gergely Röst
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The bifurcation diagram of cubic polynomial vector fields on $\mathbb{C}\mathbb{P}^1$ [PDF]
arXiv, 2015 In this paper we give the bifurcation diagram of the family of cubic vector fields $\dot z=z^3+ \epsilon_1z+\epsilon_0$ for $z\in \mathbb{C}\mathbb{P}^1$, depending on the values of $\epsilon_1,\epsilon_0\in\mathbb{C}$. The bifurcation diagram is in $\mathbb{R}^4$, but its conic structure allows describing it for parameter values in $\mathbb{S}^3 ...
arxiv
Degenerate Chenciner bifurcation revisited [PDF]
International Journal of Bifurcation and Chaos, Vol. 31, No. 10,
2150160 (2021)Generic results for degenerate Chenciner (generalized Neimark-Sacker) bifurcation are obtained in the present work. The bifurcation arises in two-dimensional discrete-time systems with two independent parameters. We define in this work a new transformation of parameters, which enables the study of the bifurcation when the degeneracy occurs. By the four
arxiv +1 more source
Bifurcation and Chaos Prediction in Nonlinear Gear Systems
Shock and Vibration, 2014 The homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically. Applying Melnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained.
Anooshirvan Farshidianfar, Amin Saghafi
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Numerical continuation for a fast-reaction system and its cross-diffusion limit [PDF]
arXiv, 2019 In this paper we investigate the bifurcation structure of the triangular SKT model in the weak competition regime and of the corresponding fast-reaction system in 1D and 2D domains via numerical continuation methods. We show that the software pde2path can be adapted to treat cross-diffusion systems, reproducing the already computed bifurcation diagrams
arxiv
Bifurcation diagram for in-service fatigued metals
Procedia Engineering, 2010 AbstractThe synergetics concept used for unified description of metals behavior for in-service fatigued aircraft structures. The metals evolution has considered as cascade of bifurcations in self-organized manner of energy adsorption having strongly expressed order in sequence of changing under wide range of multi-parametric cyclic loads interactions ...
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The computation of disconnected bifurcation diagrams
, 2016 Arclength continuation and branch switching are enormously successful algorithms for the computation of bifurcation diagrams. Nevertheless, their combination suffers from three significant disadvantages. The first is that they attempt to compute only the part of the diagram that is continuously connected to the initial data; disconnected branches are ...
Farrell, Patrick E. +2 more
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Verification of bifurcation diagrams for polynomial-like equations
Journal of Computational and Applied Mathematics, 2008 AbstractThe results of our recent paper [P. Korman, Y. Li, T. Ouyang, Computing the location and the direction of bifurcation, Math. Res. Lett. 12 (2005) 933–944] appear to be sufficient to justify computer-generated bifurcation diagram for any autonomous two-point Dirichlet problem. Here we apply our results to polynomial-like nonlinearities.
Korman, Philip +2 more
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Coarse Stability and Bifurcation Analysis Using Stochastic Simulators: Kinetic Monte Carlo Examples [PDF]
, 2001 We implement a computer-assisted approach that, under appropriate conditions, allows the bifurcation analysis of the coarse dynamic behavior of microscopic simulators without requiring the explicit derivation of closed macroscopic equations for this behavior. The approach is inspired by the so-called time-step per based numerical bifurcation theory. We
arxiv +1 more source