Abstract: Methods of synthesizing stable oscillatory chemical systems from chemical systems having at least one output dynamically related to at least one input are provided. The output and input of the chemical system are selected such that a dynamic relation exists between the input/output pair. The chemical pair is then analyzed to determine whether the response of said output to a change in the input is a cumulative response or resilient response. If the input/output response relationship of the selected input/output pair is determined to be resilient, then the methods require connecting a feedback block between said output and said input, said feedback having non-linear dynamics and inverting preaction hysteresis characteristics, or optionally repeating the selection and analysis steps with the different input/output pair until said output exhibits a cumulative response to a change in the input.