<p>Memristors can be applied to the generation of chaotic systems for enhancing the complexity of chaotic signals and assembling potential applicable dynamic behaviors, thereby increasing concerns have been focused on the research of memristive chaotic system (MCS). This paper constructs multi-directional multiscroll memristive chaotic systems (MMCSs) by introducing newly designed locally active in the same dimension. The number and expansion direction of scrolls can be controlled by the internal variables and memristors. For changing the parameters and initial values, the multiscroll attractors break into tunable ratios of periodic and chaotic attractors, yielding diverse multistability. The dynamic behaviors (including multiscroll attractors, multistability, amplitude control), circuit realization and NIST tests are studied for giving a comprehensive observation of the proposed MMCSs. A secure and fast encryption scheme which can be used to protect high-speed rail (HSR) images with important technical information is designed based on the proposed MMCSs for verifying their application potential.</p>