| Full text | |
| Author(s): |
Pires, Benito
Total Authors: 1
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. N/A, p. 9-pg., 2023-02-23. |
| Abstract | |
We construct a chaotic discrete-time continuous-state Hopfield network with piecewise-affine nonnegative activation functions and weight ma-trix with small positive entries. More precisely, there exists a Cantor set C in the state space such that the network has sensitive dependence on initial conditions at initial states in C and the network orbit of each initial state in C has C as its omega-limit set. The approach we use is based on tools developed and employed recently in the study of the topological dynamics of piecewise-contractions. The parameters of the chaotic network are explicitly given. (AU) | |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |