Abstract
The present paper investigates the dynamic behavior of streamline patterns with their bifurcations for heat transfer in a peristaltic flow model. This model represents an incompressible Casson hybrid nanofluid Au-Cu/blood flowing through a porous saturated tapered asymmetric microchannel in the presence of electroosmotic body force, velocity slip, and temperature jump conditions. Analytical and numerical tools are used to perform a thorough bifurcation and stability analysis of the various stagnation point positions. The global dynamics behavior around these points generates invariant sets and attractors, such as a surface of heteroclinic connections between saddle stagnation points, which is used to predict the various flow modes and topologies that control stream flow. The impact of the physical parameters associated with flow problems is also thoroughly investigated and graphically illustrated.