Birth of one-to-four-wing chaotic attractors in a class of simplest three-dimensional continuous memristive systems. (English) Zbl 1353.37155
Summary: A new method for exploring multi-wing chaotic dynamics of some nonlinear systems with special structure is presented in this paper. Using this method, the mechanism of a class of simplest three-dimensional continuous memristive systems that can generate one-to-four-wing chaotic attractors is theoretically investigated in detail. Moreover, the numerical simulations including phase portraits, Lyapunov exponents, and bifurcation diagrams further illustrate the effectiveness of the new method.
MSC:
| 37M25 | Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37D25 | Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) |
| 37M05 | Simulation of dynamical systems |
| 94C05 | Analytic circuit theory |
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