Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Linear-plus-nonlinear feedback control is used to stabilize Hopf bifurcation in a rotor-magnetic bearing system, for which the linearized system possesses a double zero eigenvalues. The addition of nonlinear (quadratic) terms to the original linear feedback control formulation is used to modify the coefficients of the nonlinear terms in the reduced normal forms. It is found that feedback control incorporating certain quadratic terms renders the Hopf bifurcation supercritical. Finally, illustrative examples are given to verify the analytical results.
['J.C. Ji', 'Colin H. Hansen']
I am writing a research paper on a idea LOCAL BIFURCATION CONTROL IN A ROTOR-MAGNETIC BEARING SYSTEM
[{"from": "human", "value": "I am writing a research paper on a idea LOCAL BIFURCATION CONTROL IN A ROTOR-MAGNETIC BEARING SYSTEM"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Linear-plus-nonlinear feedback control is used to stabilize Hopf bifurcation in a rotor-magnetic bearing system, for which the linearized system possesses a double zero eigenvalues. The addition of nonlinear (quadratic) terms to the original linear feedback control formulation is used to modify the coefficients of the nonlinear terms in the reduced normal forms. It is found that feedback control incorporating certain quadratic terms renders the Hopf bifurcation supercritical. Finally, illustrative examples are given to verify the analytical results."}]