This paper demonstrates that the conditions for the existence of a dissipation-induced
heteroclinic orbit between the inverted and noninverted states of a tippe top are determined
by a complex version of the equations for a simple harmonic oscillator: the modified Maxwell–
Bloch equations. A standard linear analysis reveals that the modified Maxwell–Bloch
equations describe the spectral instability of the noninverted state and Lyapunov stability of
the inverted state. Standard nonlinear analysis based on the energy momentum method …

This paper demonstrates that the conditions for the existence of a dissipation-induced
heteroclinic orbit between the inverted and noninverted states of a tippe top are determined
by a complex version of the equations for a simple harmonic oscillator: the modified Maxwell-
Bloch equations. A standard linear analysis reveals that the modified Maxwell-Bloch
equations describe the spectral instability of the noninverted state and Lyapunov stability of
the inverted state. Standard nonlinear analysis based on the energy momentum method …