Explore: Flows (differentiable Dynamical Systems)

Control and Dynamical Systems, Caltech. Laboratory of Nonlinear Systems, Ecole Polytechnique Fédérale de Lausanne (EPFL). Center for Dynamical Systems, University

dissipative system. Dissipative systems stand in contrast to conservative systems. A dissipative structure is a dissipative system that has a dynamical regime

Differentiable programming is a programming paradigm in which a numeric computer program can be differentiated throughout via automatic differentiation

certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently

If X is equipped with a differentiable structure, then φ is usually required to be differentiable. In these cases the flow forms a one-parameter group

for such dynamical systems, rendering long-term prediction of their behavior impossible in general. This can happen even though these systems are deterministic

stability of the system provides a justification for applying the qualitative theory of dynamical systems to analysis of concrete physical systems. The idea

of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System

In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic

and many other scientists since most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time