Abstract
The problem of existence of chaotic dynamics in the Chua's circuit with a smooth nonlinearity is studied rigorously by means of interval arithmetic methods. For different parameter values lower bounds of the topological entropy of a corresponding return map are found and it is proved that the system is chaotic in the topological sense. The trapping region enclosing the spiral attractor is constructed. It is discussed how to prove the existence of a trapping region for the case of the double-scroll attractor.
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