Dynamics of the solution of Bratu’s equation

Abstract In the present report we examine the dynamics exhibited by the solution of Bratu’s equation. It represents a one-dimensional map with control parameter θ . For certain values of the parameter θ it exhibits successive bifurcations and shows chaotic regimes. This behaviour was confirmed by calculating the corresponding Lyapunov exponent, power spectra and cobweb diagrams, indicating similarities with other well-known one-dimensional maps.