Nonlinear dynamical processes are ubiquitous in natural and engineering systems. Significant difficulties arise when such processes are coupled with the complex network topology, especially in terms ...

Researchers at the University of Tsukuba employ a modified mathematical technique to make complicated nonlinear equations more tractable, which can lead to more accurate control systems for mechanical ...

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 ...

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 ...

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