Dynamical systems provide a rigorous framework for understanding the evolution of complex systems over time, encapsulating models ranging from classical mechanical systems to chaotic and fractal ...

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 ...

Many frequently observed real-world phenomena are nonlinear in nature. This means that their output does not change in a manner that is proportional to their input. These models have a degree of ...

Scientists usually use a hypergraph model to predict dynamic behaviors. But the opposite problem is interesting, too. What if researchers can observe the dynamics but don't have access to a reliable ...

In 1885, King Oscar II of Sweden announced a public challenge consisting of four mathematical problems. The French polymath Henri Poincaré focused on one related to the motion of celestial bodies, the ...

System Dynamics is a computer-aided approach for strategy and policy design. The main goal is to help people make better decisions when confronted with complex, dynamic systems. The approach provides ...

Efficient Large Displacement/Large Rotation Dynamic Simulations Using Nonlinear Dynamic Substructures Utilizing reduced-order ...