79 citations · 327 across the 23 of their papers we have counts for
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math.DS2021★ 63 cited
Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part II: Bifurcation and quasi-periodic response
Mingwu Li, George Haller
In Part I of this paper, we have used spectral submanifold (SSM) theory to construct reduced-order models for harmonically excited mechanical systems with internal resonances. In t…
math.DS2021★ 79 cited
Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part I: Periodic response and forced response curve
Mingwu Li, Shobhit Jain, George Haller
We show how spectral submanifold theory can be used to construct reduced-order models for harmonically excited mechanical systems with internal resonances. Efficient calculations o…
math.DS2021★ 48 cited
Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations
Zaid Ahsan, Harry Dankowicz, Mingwu Li +1
This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with particula…