An arbitrary diffeomorphism f of class C1 acting from an open set $$\mathcal{U}\subset \mathbb{R}^{m}$$U⊂ℝm, m ≥ 2, into $$f(\mathcal{U})\subset \mathbb{R}^{m}$$f(U)⊂ℝm is considered. Sufficient conditions for such a diffeomorphism to admit… Click to show full abstract
An arbitrary diffeomorphism f of class C1 acting from an open set $$\mathcal{U}\subset \mathbb{R}^{m}$$U⊂ℝm, m ≥ 2, into $$f(\mathcal{U})\subset \mathbb{R}^{m}$$f(U)⊂ℝm is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are obtained.
               
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