Results 21 to 30 of about 78,418 (212)
Bifurcation diagram for compartmentalized granular gases [PDF]
Physical Review E, 2001 The bifurcation diagram for a vibro-fluidized granular gas in N connected compartments is constructed and discussed. At vigorous driving, the uniform distribution (in which the gas is equi-partitioned over the compartments) is stable. But when the driving intensity is decreased this uniform distribution becomes unstable and gives way to a clustered ...
Devaraj van der Meer +2 more
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Analysis of modified Holling-Tanner model with strong Allee effect
Mathematical Biosciences and Engineering, 2023 In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first.
Kunlun Huang, Xintian Jia, Cuiping Li
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Random perturbations of bifurcation diagrams [PDF]
Nonlinear Dynamics, 1994 Random perturbations of one dimensional bifurcation diagrams can exhibit qualitative behavior that is quite different from that of the unperturbed, deterministic situation. For Markov solutions of one dimensional random differential equations with bounded ergodic diffusion processes as perturbations, effects like disappearance of stationary Murkov ...
Colonius, Fritz, Kliemann, Wolfgang
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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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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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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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Bifurcation diagrams in a class of Kolmogorov systems
Nonlinear Analysis: Real World Applications, 2020 We study a two-dimensional Kolmogorov system when its two parameters vary in a small neighbourhood of the value $0.$ The local behavior of the system is described in terms of bifurcation diagrams.
Tigan, G. +4 more
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Nonlinear Dynamic Characteristics of the Curve-face Gear Transmission System
Jixie chuandong, 2023 In order to study the nonlinear dynamic characteristics of the curve-face gear transmission system and the influence of parameters on the dynamic characteristics of the system, a nonlinear dynamic model of the curve-face gear system is established.
Liu Jun +3 more
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