Results 31 to 40 of about 747,954 (250)
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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On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays [PDF]
Journal of Applied and Computational Mechanics, 2021 Here, we study the logistic delay differential equation with two different delays. First of all, we disscuse the local stability and Hopf bifurcation conditons. The method of steps is used to get a discretized analogue of the original system.
Ahmed El-Sayed +2 more
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Conservative generalized bifurcation diagrams
Physics Letters A, 2013 Bifurcation cascades in conservative systems are shown to exhibit a generalized diagram, which contains all relevant informations regarding the location of periodic orbits (resonances), their width (island size), irrational tori and the infinite higher-order resonances, showing the intricate way they are born. Contraction rates for islands sizes, along
Marcus W. Beims, Cesar Manchein
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Influence of the "Ghost Reed" Simplification on the Bifurcation Diagram of a Saxophone Model
Acta Acustica united with Acustica, 2019 This paper presents how the bifurcation diagram of a saxophone model is affected by the contact force limiting the displacement of the reed when it strikes the mouthpiece lay.
T. Colinot +5 more
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Existence of small loops in a bifurcation diagram near degenerate eigenvalues [PDF]
, 2016 In this paper, we study the global structure of a bifurcation diagram for rotating doubly connected patches near a degenerate case for incompressible Euler equations. We show that branches with the same symmetry merge, forming a small loop, provided that
Taoufik Hmidi, Coralie Renault
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Global Bifurcation Diagram for the Kerner-Konhäuser Traffic Flow Model [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2013 We study traveling wave solutions of the Kerner–Konhauser PDE for traffic flow. By a standard change of variables, the problem is reduced to a dynamical system in the plane with three parameters.
J. Delgado, P. Saavedra
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Mathematics, 2021 In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and ...
Ruizhi Yang, Qiannan Song, Yong An
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Smoothness property for bifurcation diagrams [PDF]
Publicacions Matemàtiques, 1997 Strata of bifurcation sets related to the nature of the singular points or to connections between hyperbolic saddles in smooth families of planar vector fields, are smoothly equivalent to sub-analytic sets. But it is no longer true when the bifurcation is related to transition near singular points, for instance for a line of double limit cycles in a ...
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Complexity, 2023 In this parper, a 4D absolute memristor Jerk chaotic system is proposed. Firstly, complex dynamics are studied by phase diagram, Poincaré section, power spectrum, bifurcation diagram, 0-1 test, and Lyapunov exponent spectrum.
Jindong Liu +3 more
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Signal Amplification by Sensitive Control of Bifurcation Topology [PDF]
, 2011 We describe a novel amplification scheme based on inducing dynamical changes to the topology of a bifurcation diagram of a simple nonlinear dynamical system.
Cross, M. C. +5 more
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