Results 11 to 20 of about 216,988 (317)
On Stability of a Nonlinear Pendulum [PDF]
Nonlinear Oscillations, 2003 The author studies the stability of a nonlinear pendulum whose behavior is described by the Bogolyubov--Zubarev equations [\textit{N. N. Bogolyubov} and \textit{D. N. Zubarev}, Ukr. Math. J. 7, No. 1, 5--17 (1955; Zbl 0065.42703)]. By means of the direct method Lyapunov and a comparison equation of the type \[ \frac{dy}{dt} = \psi(t)[y+\sigma(t,\mu ...
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Geophysical Research Letters, 2016 Wide compensated vortices are not able to remain circular in idealized two‐layer models unless the ocean depth is assumed to be unrealistically large. Small perturbations on both cyclonic and anticyclonic eddies grow slower if a middle layer with uniform
Georgi G. Sutyrin
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Nonlinear stabilization in infinite dimension
Annual Reviews in Control, 2013 Significant advances have taken place in the last few years in the development of control designs for nonlinear infinite-dimensional systems. Such systems typically take the form of nonlinear ODEs (ordinary differential equations) with delays and nonlinear PDEs (partial differential equations).
Miroslav Krstic +1 more
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On the Stability Analysis of Nonlinear Systems [PDF]
IMA Journal of Mathematical Control and Information, 1991 Summary: The stability of nonautonomous delay differential equations is studied via a combination of the global linearization and nonlinear variation of parameter techniques.
Banks, S. P., Yi, Zhang
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Nonlinear Dynamic Stability of Cylindrical Reticulated Shells with Initial Damage
Buildings, 2023 As large-span structures, reticulated shells are widely used in large-scale public building and act as emergency shelters in the event of sudden disasters.
Lei Li +6 more
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On the Nonlinear Stability of Symplectic Integrators [PDF]
BIT Numerical Mathematics, 2004 The paper deals mainly with the problem of achieving stability for symplectic numerical integrators by the mean of studying the topological equivalence of the level sets of the original Hamiltonian and those of the modified Hamiltonian associated to the numerical integrators.
Mclachlan, Robert Iain. +2 more
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Nonlinear Engineering, 2017 This research investigates the nonlinear behavior and stability of an elastic suspended cable system under combined parametric and external excitations, with an approach of higher accuracy and reliability.
Dai Liming, Xia Dandan, Chen Changping
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Vietnam Journal of Mechanics, 2017 This paper presents an analytical approach to investigate the nonlinear axisymmetric response of moderately thick FGM sandwich shallow spherical shells resting on elastic foundations, exposed to thermal environments and subjected to uniform external ...
Nguyen Minh Khoa, Hoang Van Tung
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Stability Analysis of Parameter Varying Genetic Toggle Switches Using Koopman Operators
Mathematics, 2021 The genetic toggle switch is a well known model in synthetic biology that represents the dynamic interactions between two genes that repress each other.
Jamiree Harrison, Enoch Yeung
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A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
, 2007 A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +3 more
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