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Keywords: stability analysis
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2023, 18(8): 081006.
Paper No: CND-22-1294
Published Online: May 4, 2023
... of the external excitation, corresponding to a sudden change in the response of the system, can be controlled using an appropriate selection of absorber parameters. method of harmonic balance stability analysis Floquet theory Lyapunov exponents bifurcation diagrams phase portraits Poincare maps...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2023, 18(8): 081005.
Paper No: CND-22-1268
Published Online: May 4, 2023
... appear as coefficients of higher orders of ϵ ( > 0 ) , the unperturbed system can be obtained by setting ϵ = 0 in Eq. (17) for the linear stability analysis. where y i ( τ ) s are O ( 1 ) perturbations. Thus, Eq. (11) can be written as (17a) y...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2021, 16(5): 051002.
Paper No: CND-20-1444
Published Online: April 7, 2021
... N S − 1 − B x N S − V S y N S ] (A9) y = x D nonlinearity stability analysis phase portrait nonlinear dynamics control scheme convergence area Nonlinearity is one of the inherent dynamic characteristics of chemical manufacturing...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2011, 6(1): 011018.
Published Online: October 13, 2010
... 22 09 2009 13 10 2010 13 10 2010 Korteweg-de Vries equation nonlinear dynamical systems solitons traffic control transport processes extended car-following model stability analysis KdV kink-antikink soliton Over the past decades, there has been an increasing...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(1): 011001.
Published Online: October 24, 2007
...Olivier A. Bauchau; Jielong Wang Linearized stability analysis methodologies that are applicable to large scale, multiphysics problems are presented in this paper. Two classes of closely related algorithms based on a partial Floquet and on an autoregressive approach, respectively, are presented...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2006, 1(1): 71–80.
Published Online: May 1, 2005
...Olivier A. Bauchau; Jielong Wang The linearized stability analysis of dynamical systems modeled using finite element-based multibody formulations is addressed in this paper. The use of classical methods for stability analysis of these systems, such as the characteristic exponent method or Floquet...