Memristor is a kind of resistance with a memory function and its special properties decide its
broad prospect for application. At present, the focus and difficulty of the research in
memristor lie in the establishment of new models and related applications. Therefore, in this
paper a new continuous and smooth memristor model is put forward first and the correctness
of this new model is proved through the study in the phase trajectory relationship between
voltage and current. Then based on Chua's circuit, a new fifth-order hyper-chaotic circuit …