Nonlinear chemical kinetic schemes derived from mechanical and electrical dynamical systems

The nonlinear transformation presented converts a mechanical or electrical system with positive and negative variables into a dynamically related chemical scheme that allows only nonnegative state variables. This transformation preserves the phase space qualitative features of the original system. The harmonic oscillator, Van der Pol, Lorenz, Rössler spiral chaos, forced negative stiffness Duffing, and a series RLC-circuit are transformed into mass action chemical schemes. For example, the harmonic oscillator is converted into the Lotka–Volterra model. Hence, the information from a variety of physical studies is applicable to chemical systems.