Multistability and chaos in a noise-induced blood flow

The present study introduces an analysis framework to understand the dynamics of a two-dimensional non-autonomous coronary artery model. The analysis shows that the coronary artery system exhibits chaotic attractors, quasi-periodic, and periodic orbits. For a specific set of parameters, an asymptotic periodic orbit appears in the short duration time and subsequently a wavy periodic orbit in the long-term. Besides, by choosing the initial conditions near a boundary of the basins of attraction, we observe a complex transition from transient chaos to the quasi-periodic attractor. More interestingly, the striking dynamical behaviors of coexisting two 2-cycles, symmetric chaotic attractors, and quasi-periodic beside chaotic attractors observe by selecting appropriate sets of initial conditions. The presence of coexisting attractors reflects the high sensitivity of the system. This fact likewise is confirmed by the Sample entropy algorithm, which depicts the variety of complexity values as the initial conditions varying. To investigate the effect of random noise on the system, we discuss the stochastic fluctuation in the birhythmicity region and the noise-induced transition using the 0–1 test.

Duke Scholars

Author Sayan Mukherjee Statistical Science