Dynamical systems theory offers a robust framework for deciphering the complex behaviour inherent in both natural and engineered systems. By representing all possible states of a system within a phase ...

Keywords: Nonlinear analysis. Structural response. Hazardous loads. Displacement method. State space approach. Lagrangian approach. Differential algebraic equations (DAE). Hamilton's principle.

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 ...