Abstract: The present invention provides systems and methods for coupled dynamical systems for chaos computing. For example, a system for the coupled dynamical system comprises a first, second, and third circuit. The first circuit comprising a plurality of single dynamical systems forms a coupled dynamical system that reduces local noises in the plurality of single dynamical systems by diffusing the local noises across the coupled dynamical system. The second circuit, connected to the first circuit, receives the data and control inputs and builds an encoding map that translates the data and control inputs to an initial condition on an unstable manifold of the plurality of single dynamical systems in the coupled dynamical system. After the coupled dynamical system evolves, a third circuit, connected to the first circuit, samples a state of one of the plurality of single dynamical systems in the coupled dynamical system and builds a decoding map.

Abstract: The present invention provides systems and methods for coupled dynamical systems for chaos computing. For example, a system for the coupled dynamical system comprises a first, second, and third circuit. The first circuit comprising a plurality of single dynamical systems forms a coupled dynamical system that reduces local noises in the plurality of single dynamical systems by diffusing the local noises across the coupled dynamical system. The second circuit, connected to the first circuit, receives the data and control inputs and builds an encoding map that translates the data and control inputs to an initial condition on an unstable manifold of the plurality of single dynamical systems in the coupled dynamical system. After the coupled dynamical system evolves, a third circuit, connected to the first circuit, samples a state of one of the plurality of single dynamical systems in the coupled dynamical system and builds a decoding map.