Organic Synaptic Transistor with Integration of Memory and Neuromorphic Computing

Artificial synapse devices have caused great interest in recent years for attempting to emulate brain-like computing system and to conquer the bottleneck of Von Neumann system. However, integration of the...

New Neumann System Associated with a 3 × 3 Matrix Spectral Problem

The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. As an application, solutions of the first nontrivial equation related to the 3 × 3 matrix spectral problem are decomposed into solving two compatible Hamiltonian systems of ordinary differential equations.