Bifurcation, chaotic, and sensitivity analysis of a higher dimensional model

This study primarily aims to conduct the bifurcation, chaotic, and sensitivity anal­ysis of a higher dimensional model. Fistly, the traveling wave transformation is applied to the model, and followed the derivation of variational principles through the semi-inverse method. The Hamiltonian is subsequently established. Through Galilean transformation, an equivalent planar dynamical system is constructed, enabling detailed examination of bifurcation phenomena, chaotic characteristics and sensitivity analysis. To our knowledge, these original findings provide novel insights into the non-linear dynamics, offering significant advancements in under­standing waves propagation mechanisms.