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 ...

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 ...

This is a preview. Log in through your library . Abstract Biological structure and function depend on complex regulatory interactions between many genes. A wealth of gene expression data is available ...

To establish the nonlinear (Liapunov) stability of both circular and elliptical vortex patches in the plane for the nonlinear dynamical system generated by the two-dimensional Euler equations of ...

In a study published in SCIENCE CHINA Earth Sciences, researchers from Nanjing Normal University developed a unified ...

This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...

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 ...