Results 31 to 40 of about 4,626,700 (338)
Discovering governing equations from data by sparse identification of nonlinear dynamical systems [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2015 Significance Understanding dynamic constraints and balances in nature has facilitated rapid development of knowledge and enabled technology, including aircraft, combustion engines, satellites, and electrical power. This work develops a novel framework to
S. Brunton, J. Proctor, J. Kutz
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Nonlinear Hydrodynamic Stability
Physical Review Letters, 1998 3 pages, 1 eps ...
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Cogent Engineering, 2016 This paper researches the thermal stability of eccentrically stiffened plates made of functionally graded materials (FGM) with metal–ceramic–metal layers subjected to thermal load. The equilibrium and compatibility equations for the plates are derived by
Pham Hong Cong, Nguyen Dinh Duc
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Nonlinear stability of rotating patterns [PDF]
Dynamics of Partial Differential Equations, 2008 We consider 2D localized rotating patterns which solve a parabolic system of PDEs on the spatial domain R2. Under suitable assumptions, we prove nonlinear stability with asymptotic phase with respect to the norm in the Sobolev space H2. The stability result is obtained by a combination of energy and resolvent estimates, after the dynamics is decomposed
Beyn, Wolf-Jürgen, Lorenz, Jens
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An optimization approach for analysing nonlinear stability with transition to turbulence in fluids as an exemplar [PDF]
Reports on progress in physics. Physical Society, 2014 This article introduces and reviews recent work using a simple optimization technique for analysing the nonlinear stability of a state in a dynamical system.
R. Kerswell +2 more
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Global stability of positive standard and fractional nonlinear feedback systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 The global stability of positive continuous-time standard and fractional order nonlinear feedback systems is investigated. New sufficient conditions for the global stability of these classes of positive nonlinear systems are established.
T. Kaczorek
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Nonlinear Engineering, 2019 Nonlinear stability of nanocomposite spherical and cylindrical panels reinforced by carbon nanotubes (CNTs), resting on elastic foundations and subjected to uniform external pressure in thermal environments is investigated in this paper.
Trang Le Thi Nhu, Tung Hoang Van
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Nonlinear Stability of Asymptotic Suction [PDF]
Transactions of the American Mathematical Society, 1984 The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 0 in the spectrum is removed with the ...
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Stability of Nonlinear AR-GARCH Models [PDF]
SSRN Electronic Journal, 2006 Abstract. This article studies the stability of nonlinear autoregressive models with conditionally heteroskedastic errors. We consider a nonlinear autoregression of order p [AR(p)] with the conditional variance specified as a nonlinear first‐order generalized autoregressive conditional heteroskedasticity [GARCH(1,1)] model.
MEITZ, Mika, SAIKKONEN, Pentti
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Nonlinear stability of laboratory quasi-Keplerian flows. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2014 Experiments in a modified Taylor-Couette device, spanning Reynolds numbers of 10(5) to greater than 10(6), reveal the nonlinear stability of astrophysically relevant flows.
E. Edlund, H. Ji
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