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In the electromagnetic channel, chaotic gravitational lensing is a peculiarphenomenon in strong gravitational lensing. In this work, we analyze theproperties and emergence of chaotic gravitational lensing in the Manko-Novikovblack hole spacetime. Aiming to understand better the underlying physics, weelaborate on the boundaries of the accessible region in terms of the analysesof the contours of the effective potentials. The latter is associated with thetwo roots of a quadratic equation. In particular, we explore its interplay withergoregion, which leads to specific features of the effective potentials, suchas the emergence of cuspy edge and the formation of {\it pocket}, that servesas a static constraint on the geodesics. Besides, we investigate the propertiesof the radial and angular accelerations at the turning points in photons'trajectories. Moreover, the accelerations are analyzed, which is argued toprovide a kinematic constraint on the geodesics. It is concluded that the onsetof the chaotic lensing is crucially related to both constraints, and as aresult, an arbitrarily slight deviation in the incident photon is significantlyamplified during the course of evolution through an extensive period,demonstrating the complexity in the highly nonlinear deterministicgravitational system.

Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment