Autonomous Learning by Dynamical Systems with Inertial or Delayed Feedbacks

Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using delayed feedbacks. Here, the proposed method is further analyzed and improved. Its extension to adaptable systems, where delays are absent and inertial feedbacks are instead employed, is suggested. Numerical tests for three different models, including networks of phase and amplitude oscillators, are performed.