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In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et.al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontroller-based circuit was implemented in real digital engineering applications by using the fractional-order Chua’s circuit with the piecewise-smooth continuous system.

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In this study, a non-linear mechanical system with two degrees of freedom is considered in terms of chaos phenomena and chaotic behaviour. The mathematical model of the system was moved to the state space and presented as a four dimensional (4D) chaotic system. The system’s chaotic behaviour was investigated by performing dynamic analyses of the system such as equilibria, Lyapunov exponents, bifurcation analyses, etc. Also, the electronic circuit realisation is implemented as a real-time application. This system exhibited vibration along with noise-like behaviour because of its very low amplitude values. Thus, the system is scaled to increase the amplitude values. As a result, the electronic circuit implementation of the 4D chaotic system derived from the model of a physical system is realised.

Data encryption has always been a topical subject. There are many encryption methods in the literature. Chaos‐based encryption is considered a different area of study among the encryption practices. In this study, a novel interface was designed for chaos‐based encryption to be used as an educational tool in cryptology. With this interface, the chaos‐based encryption of multimedia data (picture, audio, text) can be done with one, two, or three dimensional discrete‐time chaotic maps. Also, the reliability of every encryption method must be checked via certain security analyses. Thus, five different security analyses (information entropy, correlation, speed effect, differential attack, and histogram analysis), where applicable, were added into the interface to perform security analyses of chaos‐based encrypted data. In this way, the chaotic encryption and security analyses, both of which need high level programming knowledge, have become available in a compact way, for those who are interested in this subject but are not knowledgeable enough about programming, hence the interface can be used as an educational tool in chaos or encryption studies.