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

Example-oriented survey of nonlinear dynamical systems, including chaos. Combines numerical exploration of differential equations describing physical problems with analytic methods and geometric ...

In a new study, scientists have investigated the pervasive low-rank hypothesis in complex systems, demonstrating that despite high-dimensional nonlinear dynamics, many real networks exhibit rapidly ...