P Systems with Shuffle Operation and Catalytic-Like Rules

Shuffle operation on trajectories is useful in modeling parallel composition of words and languages. in this work, a new class of p systems with shuffle operation and catalytic-like rules is presented. such a system has a membrane structure, where language-objects and shuffleoperation rules are placed in its regions. it can be used as a language generator. in this study, we propose a variant p system with shuffle operation on string-language objects. some comparison results are obtained, which show that the power of shuffle operation is enlarged in the framework of p systems. moreover, string-language objects are extended to array-language objects, and another variant p system with shuffle operation on picture-language objects is introduced. we also illustrate how to generate picture languages by using this kind of devices.