Results 21 to 30 of about 4,997,800 (374)
The Global Nonlinear Stability of Minkowski Space for Self-gravitating Massive Fields [PDF]
Communications in Mathematical Physics, 2015 The Hyperboloidal Foliation Method (introduced by the authors in 2014) is extended here and applied to the Einstein equations of general relativity. Specifically, we establish the nonlinear stability of Minkowski spacetime for self-gravitating massive ...
P. LeFloch, Yue Ma
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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
Jens Lorenz +2 more
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Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]
, 1998 In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars +2 more
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On Stability of a Nonlinear Pendulum [PDF]
Nonlinear Oscillations, 2003 Using the Lyapunov method, we establish a sufficient condition for the stability of a nonlinear pendulum.
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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 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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Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems
Entropy, 2019 Thermodynamical arguments are known to be useful in the construction of physically motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous equilibrium states in thermodynamically isolated systems.
Miroslav Bulíček +2 more
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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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Existence and stability of viscoelastic shock profiles [PDF]
, 2010 We investigate existence and stability of viscoelastic shock profiles for a class of planar models including the incompressible shear case studied by Antman and Malek-Madani.
A. Azevedo +39 more
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Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation [PDF]
, 2015 The Ensemble Kalman filter and Ensemble square root filters are data assimilation methods used to combine high dimensional nonlinear models with observed data.
Xin T. Tong, A. Majda, David Kelly
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