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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Complex Dynamic Analysis for a Rent-Seeking Game with Political Competition and Policymaker Costs
Mathematics, 2023 This paper investigates the dynamics of rent-seeking games that include political competition and policymaker cost model. The local asymptotic stability of multiple equilibrium points and Nash equilibrium points are studied.
Xiuqin Yang, Feng Liu, Hua Wang
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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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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.
openaire +1 more source
Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems [PDF]
, 1985 We discuss in this paper a new combination of methods for solving nonlinear boundary value problems containing a parameter. Methods of the continuation type are combined with least squares formulations, preconditioned conjugate gradient algorithms and ...
Glowinski, R. +2 more
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The bifurcation of constrained optimization optimal solutions and its applications
AIMS Mathematics, 2023 The appearance and disappearance of the optimal solution for the change of system parameters in optimization theory is a fundamental problem. This paper aims to address this issue by transforming the solutions of a constrained optimization problem into ...
Tengmu Li, Zhiyuan Wang
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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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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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Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator [PDF]
Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение"In this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly damped by viscous friction. The bifurcation points are found by solving the numerical solution of a harmonically linearized system with respect to the ...
B. A. Kalashnikov +2 more
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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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