Results 21 to 30 of about 28,735,040 (303)
Testing the method of multiple scales and the averaging principle for model parameter estimation of quasiperiodic two time-scale models [PDF]
, 2022 summary:Some dynamical systems are characterized by more than one time-scale, e.g. two well separated time-scales are typical for quasiperiodic systems.
Matonoha, Ctirad, Papáček, Štěpán
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Topological shadowing methods in arnold diffusion: weak torsion and multiple time scales
Nonlinearity, 2022 Abstract Consider a map which possesses a normally hyperbolic invariant manifold of any even dimension with transverse homoclinic channels. We develop a topological shadowing argument to prove the existence of Arnold diffusion along the invariant manifold, shadowing some iterations of the inner dynamics carried by the invariant manifold ...
Clarke, Andrew +2 more
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Modified poisson series to implement the method of multiple scales [PDF]
, 2017 The method of multiple scales is a global perturbation technique that has resulted to be very useful in perturbed ordinary differential equations characterized by disparate time scales.
Juan F. Navarro, Navarro, Juan F.
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Multiple time scale methods in tokamak magnetohydrodynamics [PDF]
, 1984 Several methods are discussed for integrating the magnetohydrodynamic (MHD) equations in tokamak systems on other than the fastest time scale. The dynamical grid method for simulating ideal MHD instabilities utilizes a natural nonorthogonal time-dependent coordinate transformation based on the magnetic field lines.
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Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion [PDF]
, 2007 Even the simplest advection-diffusion problems can exhibit multiple time scales. This means that robust variable step time integrators are a prerequisite if such problems are to be efficiently solved computationally.
Philip M. Gresho +9 more
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Linear regulator design for stochastic systems by a multiple time scale method [PDF]
1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes, 1976 This short paper develops a hierarchically structured, suboptimal controller for a linear stochastic system composed of fast and slow subsystems. It is proved that the controller is optimal in the limit as the separation of time scales of the subsystems becomes infinite.
Teneketzis, Demosthenis +1 more
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, 2009 A new perturbation algorithm combining the Method of Multiple Scales and Lindstedt-Poincare techniques is proposed for the first time. The algorithm combines the advantages of both methods. Convergence to real solutions with large perturbation parameters
Boyaci, H. +2 more
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International Journal for Computational Civil and Structural Engineering, 2020 Nonlinear force driven coupled vertical and torsional vibrations of suspension bridges, when the frequency of an external force is approaching one of the natural frequencies of the suspension system, which, in its turn, undergoes the conditions of the ...
Marina Shitikova, Aleks Katembo
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Multiple Lebesgue Integration on Time Scales [PDF]
, 2006 We study the process of multiple Lebesgue integration on time scales.
Bohner, Martin, Guseinov, Gusein Sh.
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Multiple Time-Scales in Classical and Quantum-Classical Molecular Dynamics [PDF]
, 1998 The existence of multiple time scales in molecular dynamics poses interesting and challenging questions from an analytical as well as from a numerical point of view. In this paper, we consider simplified models with two essential time scales and describe
Sebastian Reich, Reich, Sebastian
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