Results 11 to 20 of about 40,316 (261)
Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 more
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Generic bifurcation of periodic points [PDF]
Transactions of the American Mathematical Society, 1970 This paper discusses the bifurcation of periodic points of a generic symplectic diffeomorphism of a two manifold that depends on a parameter. A complete classification of the types of bifurcation that can occur in the generic case is given.
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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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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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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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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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Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response
Tikrit Journal of Pure Science, 2023 In this paper, a discrete time prey-predator system with Crowly- Martin functional response was studied. The fixed points of the model are obtained, and their stability is analyzed. Further existence of bifurcation analysis at each fixed points and Hopf
Jaza Omer Muhammed, Kawa Ahmed Hassan
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Chaotic Behaviour in Two-parameter Family of Transcendental Functions Associated with Exponential Map [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 This article is devoted to the study of chaos and bifurcation in the real dynamics of a newly proposed two-parameter family of transcendental functions. We assume that one parameter is continuous and other parameter is discrete.
Mohammad Sajid, Abdullah S. Alsuwaiyan
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Quantum entanglement and fixed-point bifurcations [PDF]
Physical Review A, 2005 v2: Structure of the paper changed for clarity, reduced length, now 9 pages with 6 ...
Hines, A. P. +2 more
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