C${\cal C}$osmological K${\cal K}$rylov C${\cal C}$omplexity

In this paper, we study the Krylov complexity (K) from planar/inflationary patch of de Sitter space using two mode squeezed state formalism in presence an effective field having sound speed c s $c_s$ . From our analysis, obtain explicit behavior and lancoz coefficients ( b n $b_n$ ) with respect to conformal time scale factor Since grow linearly integer n, suggests that universe acts like a chaotic system during period. We also corresponding Lyapunov exponent λ show for is equal average particle numbers suggesting it's relation volume. Finally, give comparison entanglement entropy (Von-Neumann) where found there large difference between values squeezing amplitude. This can be significant probe studying dynamics cosmological even after saturation entropy.