Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system
arXiv:1804.10774 · doi:10.1007/s11071-017-4029-5
Abstract
In this paper, a continuous approximation to studying a class of PWC systems of fractionalorder is presented. Some known results of set-valued analysis and differential inclusions are utilized. The example of a hyperchaotic PWC system of fractional order is analyzed. It is found that without equilibria, the system has hidden attractors.
uncorrected proof
References in corpus (4)
- Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
- Numerical Models for the Simulation of the Fractional-Order Control Systems
- On the mathematically reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000]
- Hidden transient chaotic attractors of Rabinovich-Fabrikant system