Nonlinear model reduction seeks to construct compact yet accurate representations of high-dimensional dynamical systems governed by nonlinear equations of motion. Such full-order models often arise in ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the Earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

1 Civil, Environmental and Architectural Engineering, University of Colorado Boulder, Boulder, CO, USA, 2 Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado ...

Nonlinear dynamical systems are systems that can undergo sudden shifts not due to changes in their state or stability, but in response to the rate at which external conditions or parameters change.

Keywords: Nonlinear analysis. Structural response. Hazardous loads. Displacement method. State space approach. Lagrangian approach. Differential algebraic equations ...