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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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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Quantum Entanglement dependence on bifurcations and scars in non autonomous systems. The case of Quantum Kicked Top [PDF]
, 2007 Properties related to entanglement in quantum systems, are known to be associated with distinct properties of the corresponding classical systems, as for example stability, integrability and chaos.
Arrechi +41 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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Arnol'd tongues arising from a grazing-sliding bifurcation of a piecewise-smooth system [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, Szalai, R
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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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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
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A bifurcation study to guide the design of a landing gear with a combined uplock/downlock mechanism [PDF]
, 2014 This paper discusses the insights that a bifurcation analysis can provide when designing mechanisms. A model, in the form of a set of coupled steady-state equations, can be derived to describe the mechanism.
Knowles, James A C +3 more
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