Article
Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors
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Abstract
We prove that given any closed 3-manifold M3, there is an A-flow ft on M3 such that the non-wandering set NW (ft) consists of 2-dimensional non-orientable expanding attractor and trivial basic sets.
Keywords
A-flow, expanding attractor, Primary 37D05, Secondary 37B35, 34C40
Citation
Medvedev, V. & Zhuzhoma, E. (2020). Any closed 3-manifold supports a-flows with 2-dimensional expanding attractors. Applied Mathematics and Nonlinear Sciences, 5(2), 307–310. https://doi.org/10.2478/amns.2020.2.00053
V. Medvedev and E. Zhuzhoma, “Any closed 3-manifold supports a-flows with 2-dimensional expanding attractors,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 307–310, 2020, doi: 10.2478/amns.2020.2.00053.
Medvedev V, Zhuzhoma E. Any closed 3-manifold supports a-flows with 2-dimensional expanding attractors. Applied Mathematics and Nonlinear Sciences. 2020;5(2):307–310. doi:10.2478/amns.2020.2.00053.
Medvedev, V. and Zhuzhoma, E. (2020), ‘Any closed 3-manifold supports a-flows with 2-dimensional expanding attractors’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 307–310. Available at: https://doi.org/10.2478/amns.2020.2.00053.
Medvedev, V., and E. Zhuzhoma. “Any Closed 3-manifold Supports A-flows with 2-dimensional Expanding Attractors.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 307–310. https://doi.org/10.2478/amns.2020.2.00053.
Medvedev, V., and E. Zhuzhoma. “Any Closed 3-manifold Supports A-flows with 2-dimensional Expanding Attractors.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 307–310. https://doi.org/10.2478/amns.2020.2.00053.
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Published by: Engineering Journals
