... and large-dimensional models are often hindered either by the absence of an accurate model or by the analytical complexity involved. This paper presents a novel approach that combines the theoretical frameworks of nonlinear reduced-order modeling and stability analysis with advanced machine learning...

..., and the linear stability analysis of the system is also presented. A discussion of linear and nonlinear analysis, numerical bifurcation analysis, Lyapunov exponents, and phase methodology are presented in Sec. 4 . A parametric analysis assessing the impact of the various absorber parameters on the system...

.... A parametric study on the linear stability analysis revealed that compared to the linear friction isolator, the nonlinearity in the friction isolator increases the fixed-points' local stability in the operating parameter space of reference signal and differential gain. This further implied that the system's...

... based on its numerical value of nonlinearity. e-mail:  joanjoean@gmail.com e-mail:  skpatnaik@annauniv.edu e-mail:  panda@clri.res.in 18 11 2020 16 02 2021 07 04 2021 nonlinearity stability analysis phase portrait nonlinear dynamics control scheme convergence area...

... 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...

...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...

...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...