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Bifurcation Chaos"],"published-print":{"date-parts":[[2018,5]]},"abstract":"<jats:p>This paper reports the finding of a new seven-dimensional (7D) autonomous hyperchaotic system, which is obtained by coupling a 1D linear system and a 6D hyperchaotic system that is constructed by adding two linear feedback controllers and a nonlinear feedback controller to the Lorenz system. This hyperchaotic system has very simple algebraic structure but can exhibit complex dynamical behaviors. Of particular interest is that it has a hyperchaotic attractor with five positive Lyapunov exponents and a unique equilibrium in a large range of parameters. Numerical analysis of phase trajectories, Lyapunov exponents, bifurcation, power spectrum and Poincar\u00e9 projections verifies the existence of hyperchaotic and chaotic attractors. Moreover, stability of the hyperbolic equilibrium is analyzed and a complete mathematical characterization for 7D Hopf bifurcation is given. Finally, circuit experiment implements the hyperchaotic attractor of the 7D system, showing very good agreement with the simulation results.<\/jats:p>","DOI":"10.1142\/s0218127418500578","type":"journal-article","created":{"date-parts":[[2018,5,30]],"date-time":"2018-05-30T08:35:44Z","timestamp":1527669344000},"page":"1850057","source":"Crossref","is-referenced-by-count":48,"title":["A New 7D Hyperchaotic System with Five Positive Lyapunov Exponents Coined"],"prefix":"10.1142","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3623-4947","authenticated-orcid":false,"given":"Qigui","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong 510641, P. R. China"}]},{"given":"Daoyu","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong 510641, P. R. 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