On the global bifurcation diagram of the Gelfand problem [PDF]
Analysis & PDE, 2021 For domains of first kind [7,13] we describe the qualitative behavior of the global bifurcation diagram of the unbounded branch of solutions of the Gel'fand problem crossing the origin.
Daniele Bartolucci, Aleks Jevnikar
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Templates and subtemplates of Rössler attractors from a bifurcation diagram [PDF]
, 2016 We study the bifurcation diagram of the Rössler system. It displays the various dynamical regimes of the system (stable or chaotic) when a parameter is varied. We choose a diagram that exhibits coexisting attractors and banded chaos.
Martin Rosalie
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An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics [PDF]
Boundary Value Problems, 2018 We analyze the positive solutions to {−Δv=λv(1−v);Ω0,∂v∂η+γλv=0;∂Ω0,$$ \textstyle\begin{cases} - \Delta v = \lambda v(1-v); & \Omega_{0}, \\ \frac{\partial v}{\partial\eta} + \gamma\sqrt{\lambda} v =0 ; & \partial\Omega_{0}, \end{cases} $$ where Ω0=(0 ...
Jérome Goddard +3 more
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Optimal control and bifurcation diagram for a model nonlinear fractional SIRC [PDF]
Alexandria Engineering Journal, 2020 Mahdy A +3 more
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Experimental bifurcation-cascade diagram of an external-cavity semiconductor laser
Optics Express, 2014 This Letter is the first to report experimental bifurcation diagrams of an external-cavity semiconductor laser (ECSL) in the low-to-moderate current injection regime and long-cavity case.
Byungchil Kim +3 more
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The Extended Milling Bifurcation Diagram
, 2015 Tony L. Schmitz, Andrew Honeycutt
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On the Bifurcation Diagram of the Capillary–Gravity Whitham Equation [PDF]
Water Waves, 2019 We study the bifurcation of periodic travelling waves of the capillary–gravity Whitham equation. This is a nonlinear pseudo-differential equation that combines the canonical shallow water nonlinearity with the exact (unidirectional) dispersion for finite-
Mats Ehrnström +3 more
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Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach [PDF]
Journal of Scientific Computing, 2022 We address a three-tier data-driven approach for the numerical solution of the inverse problem in Partial Differential Equations (PDEs) and for their numerical bifurcation analysis from spatio-temporal data produced by Lattice Boltzmann model simulations
Evangelos Galaris +4 more
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Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance
Applied Physics Letters, 2019 The dynamic response of a nonlinear resonator in the presence of resonant mode coupling is studied experimentally and theoretically. For the case of a clamped-clamped beam resonator in the presence of a 1:3 internal resonance, we show that at the onset ...
D. Czaplewski +4 more
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The Bifurcation Diagram of Cubic Polynomial Vector Fields on CP1 [PDF]
Canadian mathematical bulletin, 2015 In this paper we give the bifurcation diagram of the family of cubic vector fields $\dot{z}=$ ${{z}^{3}}+{{\epsilon }_{1}}z+{{\epsilon }_{0}}$ for $z\in \mathbb{C}{{\mathbb{P}}^{1}}$ , depending on the values of ${{\epsilon }_{1}},{{\epsilon }_{0}}\in ...
C. Rousseau
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