Results 11 to 20 of about 28,735,040 (303)
Advances in Astronomy, 2020 We illustrate the chaotic nature of the circular restricted three-body problem from the perspective of the bifurcation diagram with respect to the mass ratio parameter.
Fabao Gao, Yongqing Wang
doaj +2 more sources
Stability approach for periodic delay Mathieu equation by the He- multiple-scales method
Alexandria Engineering Journal, 2018 In the present work, the version of homotopy perturbation included time-scales is applied to the governing equation of time-periodic delay Mathieu equation. Periodical structure for the amplitude of the zero-order perturbation is constructed.
Yusry O. El-Dib
doaj +2 more sources
Non-Abelian Kubo Formula and the Multiple Time-Scale Method [PDF]
Annals of Physics, 1996 The non-Abelian Kubo formula is derived from the kinetic theory. That expression is compared with the one obtained using the eikonal for a Chern-Simons theory. The multiple time-scale method is used to solve the non-Abelian Kubo formula, and the damping rate for longitudinal color waves is computed.
Zhang, Xiaofei, Li, Jiarong
openaire +3 more sources
On Simulating Flows with Multiple Time Scales Using a Method of Averages [PDF]
Theoretical and Computational Fluid Dynamics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nadiga, B. T. +3 more
openaire +1 more source
Energies, 2022 Currently, the ocean energy strategy is rapidly developing, and a high proportionate tidal current energy grid connection presents significant obstacles to the planning and secure and stable operation of an island microgrid.
Yani Ouyang +3 more
doaj +1 more source
The method of variation of constants and multiple time scales in orbital mechanics [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003 The method of variation of constants is an important tool used to solve systems of ordinary differential equations, and was invented by Euler and Lagrange to solve a problem in orbital mechanics. This methodology assumes that certain “constants” associated with a homogeneous problem will vary in time in response to an external force. It also introduces
Newman, William I., Efroimsky, Michael
openaire +3 more sources
IEEE Access, 2020 Machinery devices often consist of mechanical mechanisms that are actuated by fluid power systems. In many applications, the mechanical system can be modelled and analysed in terms of the multi-body system dynamics.
Mehran Kiani-Oshtorjani +4 more
doaj +1 more source
Agronomy, 2023 Water and thermal resources are changing significantly because of climate change, further affecting important crops, such as grains, worldwide. Previous studies on climate change trends and their impacts on grain yield were mainly conducted on a single ...
Xuefang Feng +5 more
doaj +1 more source
On the Reconstitution Problem in the Multiple Time-Scale Method
Nonlinear Dynamics, 1999 The authors consider general systems of the form \(\ddot q+F(q, \dot q,t;\mu)=0\), where \(\mu\) is a vector containing small physical quantities, or small deviations from the critical values of other parameters. A perturbation parameter \(\varepsilon\) is introduced by the equation \(\mu= \varepsilon \widehat\mu\), \(\widehat\mu= O(1)\), then the ...
LUONGO, Angelo, Paolone A.
openaire +5 more sources
Divided and A-Divided Differences on Time Scales
, 2023 In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using
Erhan,I.M. +2 more
core +1 more source