Rocard’s 1941 Chaotic Relaxation Econometric Oscillator

In the beginning of Second World War, French physicist, Yves Rocard, published a book entitled Théorie des Oscillateurs (Theory Oscillators). Chapter V, he designed mathematical model consisting set three nonlinear differential equations and allowing to account for economic cycles. Numerical integration his has highlighted chaotic attractor. Its analysis with classical tools such as bifurcation diagram Lyapunov Characteristic Exponents confirmed features its solution. It follows that Rocard’s 1941 econometric thus most likely preceded Lorenz’ butterfly twenty-two years. Moreover, apart from this historical discovery which upsets historiography, it is also established “new old” three-dimensional autonomous dynamical system new jerk whose solution exhibits attractor topology varies, double scroll Möbius-strip then toroidal attractor, according values control parameter.