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Then the analytical conditions for the existence of a pitchfork bifurcation in this system with fractional-order parameter less than 1\/3 are provided. Conditions for the existence of Hopf bifurcation in this system are also investigated. The dynamics of discretized form of our fractional-order hyperchaotic system are explored. Chaos control is also achieved in discretized system using delay feedback control technique. The numerical simulation are presented to confirm our theoretical analysis via phase portraits, bifurcation diagrams and Lyapunov exponents. A text encryption algorithm is presented based on the proposed fractional-order system. The results show that the new system exhibits a rich variety of dynamical behaviors such as limit cycles, chaos and transient phenomena where fractional-order derivative represents a key parameter in determining system qualitative behavior.<\/jats:p>","DOI":"10.1142\/s0218127416502229","type":"journal-article","created":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T09:22:06Z","timestamp":1483003326000},"page":"1650222","source":"Crossref","is-referenced-by-count":42,"title":["Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization"],"prefix":"10.1142","volume":"26","author":[{"given":"A. M. 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