  This article confronts the formidable task of exploring chaos within hidden
attractors in nonlinear 3-D autonomous systems, highlighting the lack of
established analytical and numerical methodologies for such investigations. As
the basin of attraction does not touch the unstable manifold ,there are no
straightforward numerical processes to detect those attractors and one has to
implement special numerical-analytical strategy.In this article we present an
alternative approach that allows us to predict the basin of attraction
associated with hidden attractors, overcoming the existing limitations. The
method discussed here based on KCC theory (Kosambi-Cartan-Chern) which enable
us to conduct a comprehensive theoretical analysis by means of evaluating
geometric invariants and instability exponents, thereby delineating the regions
encompassing chaotic and periodic zones. Our analytical predictions are
thoroughly validated by numerical results.
