Dynamic Mode Decomposition (DMD) has emerged as a powerful, data-driven technique for extracting coherent spatio-temporal structures from complex, high-dimensional systems. Originally conceived for ...

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 ...

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 (DAE). Hamilton's principle.

Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors. Apply feedback control laws to stabilize systems and achieve performance goals. Control systems ...