A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method

Hadi Jahanshahi^a✉, Amin Yousefpour^b, Jesus Manuel Munoz-Pacheco^c, Irene M. Moroz^d, Zhouchao Wei^e, Oscar Castillo^f

1. ^aDepartment of Aerospace Engineering, University of Tehran, Tehran, 14395-1561, Iran
2. ^bSchool of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, 14399-57131, Iran
3. ^cFaculty of Electronics Sciences, Benemerita Universidad Autonoma de Puebla, Mexico, 72570, Mexico
4. ^dMathematical Institute, University of Oxford, Oxford, OX2 6GG, England, UK
5. ^eSchool of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, PR China
6. ^fDivision of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico
7. ✉Corresponding author