  Multi-parametric chiral random matrix ensembles are important tools to
analyze the statistical behavior of generic complex systems with chiral
symmetry. A recent study \cite{psmulti} of the former maps them to the chiral
Brownian ensemble (Ch-BE) that appears as a non-equilibrium state of a single
parametric crossover between two stationary chiral Hermitian ensembles. This
motivates us to pursue a detailed statistical investigation of the spectral and
strength fluctuations of the Ch-BE, with a focus on their behavior near zero
energy region. The information can then be used for a wide range of complex
systems with chiral symmetry. Our analysis also reveals connections of Ch-BE to
generalized Calogero Sutherland Hamiltonian (CSH) and Wishart ensembles. This
along with already known connections of complex systems without chirality to
CSH strongly hints the later to be the "backbone" Hamiltonian governing the
spectral dynamics of Complex systems.
