Stationary equilibrium of test particles near charged black branes with the hyperscaling violating factor

We explore the upper bound of Lyapunov exponent for test particles that maintain equilibrium in radial direction near charged black brane with hyperscaling violating factor. The influences parameters (hyperscaling violation $\theta$ and dynamical $z$) are investigated. show can violate chaos bound. is more easily violated near-extremal branes. When null energy condition ($T_{\mu\nu}\xi^\mu\xi^\nu \geq 0$) broken, also likely to be violated. These results indicate particle motion related temperature hole (NEC). By considering zero-temperature $T_{\mu\nu}\xi^\mu\xi^\nu=0$ cases, we obtain critical $\theta_c$ $z_c$ always satisfied range $\theta > \theta_c$ or $z>z_c$.