A dynamical system is a particle or ensemble of particles whose state varies over time and thus obeys differential equations involving time derivatives. Analytical resolution of such equations or ...

For the past twenty five years, there has been an explosion of interest in the study of nonlinear dynamical systems. Mathematical techniques developed during this period have been applied to important ...

Abstract: In Anderson a connection of two types of stability: Liapunov stability, reflecting the internal stability of a system, and bounded-input bounded-output stability, reflecting the external ...

This toolbox contains methods for the approximation of transfer operators and their eigenfunctions as well as methods for learning the governing equations from data: ...