Results 11 to 20 of about 46,577 (307)
Asymptotically Periodic and Bifurcation Points in Fractional Difference Maps [PDF]
Fractal and FractionalThe first step in investigating fractional difference maps, which do not have periodic points except fixed points, is to find asymptotically periodic and bifurcation points and draw asymptotic bifurcation diagrams.
Mark Edelman
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On the Solution of Hammerstein Integral Equations with Loads and Bifurcation Parameters
Известия Иркутского государственного университета: Серия "Математика", 2023 The Hammerstein integral equation with loads on the desired solution is considered. The equation contains a parameter for any value of which the equation has a trivial solution. Necessary and sufficient conditions are obtained for the coefficients of the
N.A. Sidorov, L.R.D. Dreglea Sidorov
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
, 2009 The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
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Global Hopf bifurcation in the ZIP regulatory system [PDF]
, 2015 Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya +4 more
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Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting
Journal of Inequalities and Applications, 2021 A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
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The First Bifurcation Point for Delaunay Nodoids [PDF]
Experimental Mathematics, 2005 v2: one statement in the introduction corrected, section on Jacobi functions ...
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Codimension-Two Bifurcations of Fixed Points in a Class of Discrete Prey-Predator Systems
Discrete Dynamics in Nature and Society, 2011 The dynamic behaviour of a Lotka-Volterra system, described by a planar map, is analytically and numerically investigated. We derive analytical conditions for stability and bifurcation of the fixed points of the system and compute analytically the normal
R. Khoshsiar Ghaziani +2 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of this work is to develop a method for mathematical modeling of nonlinear effects (parametric generation, parametric excitation of waves, and instabilities) arising from the interaction of electromagnetic waves with strongly ...
Galina S. Makeeva
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The Nonlinear Dynamics of a MEMS Resonator with a Triangular Tuning Comb
Micromachines, 2023 The nonlinear dynamic response of a MEMS resonator with a triangular tuning comb is studied. The motion equation with dis-smooth tuning electrostatic force is derived according to Newton’s second law.
Lijuan Zhang +5 more
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Critical Point for Bifurcation Cascades and Featureless Turbulence [PDF]
Physical Review Letters, 2020 In this Letter we show that a bifurcation cascade and fully sustained turbulence can share the phase space of a fluid flow system, resulting in the presence of competing stable attractors. We analyse the toroidal pipe flow, which undergoes subcritical transition to turbulence at low pipe curvatures and supercritical transition at high curvatures, as ...
Jacopo Canton +3 more
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