The interaction between electrons and phonons plays a pivotal role in shaping both the phononic and magnetic properties of materials. Time-reversal symmetry breaking in the electronic system can be inherited by phonons leading to chiral optical phonons and nonreciprocal propagation of acoustic phonons tunable by external electric fields. Chiral phonons themselves break time-reversal symmetry and can induce magnetization in otherwise nonmagnetic systems. Of particular interest is the topological orbital contribution, characterized by a second Chern form. Viewed together, these reciprocal interactions form a feedback loop, introducing intrinsic nonlinearity. When driven far from equilibrium, such nonlinearities can give rise to dynamical instability like bifurcation, opening new avenues for on-demand control and the realization of exotic nonequilibrium phases of matter.