Dynamics of the solution of Bratu’s equation Original Research Article

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 θθ. For certain values of the parameter θθ 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.