Ising Machine Based on Bifurcations in a Network of Duffing Oscillators

Ising Machines have been extensively explored lately for developing new nonconventional computing architectures. A recently proposed approach, based on simulating a dynamical system exhibiting bifurcations, has shown promising performance. Inspired by this concept, we propose using bifurcations in a network of coupled electrical Duffing oscillators to realize an Ising Machine. Numerical simulations of large Duffing oscillator networks, solving various Max-Cut problems, demonstrate the potential of our proposed approach for realizing Ising Machines based on bifurcations. It also establishes a new direction towards analog Ising Machine architectures.