In Search of Chaos and Complexity of a Cognitive Language-Learning System
In this article, we investigate the long-term dynamics of a known cognitive-based language-learning system under the variation of a system parameter. Stability of the equilibrium points is studied. Period root to chaos is investigated by bifurcation analysis. A Lyapunov analysis is performed to veri...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/7169597 |
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| _version_ | 1832568489308585984 |
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| author | Gaofei Luo Sayan Mukherjee |
| author_facet | Gaofei Luo Sayan Mukherjee |
| author_sort | Gaofei Luo |
| collection | DOAJ |
| description | In this article, we investigate the long-term dynamics of a known cognitive-based language-learning system under the variation of a system parameter. Stability of the equilibrium points is studied. Period root to chaos is investigated by bifurcation analysis. A Lyapunov analysis is performed to verify the complex dynamics in the system. Existence of chaos is confirmed by 0-1 test. A noise-induced cognitive phenomenon is proposed under the effect of power noise. Chaotic and nonchaotic dynamics are explored in the noise-induced system. Furthermore, disorder as well as complexity, are investigated for both the systems using the concept of weighted recurrence. The whole analysis can be effective to understand the dynamical features and nonlinear structure of the cognitive language-learning model. |
| format | Article |
| id | doaj-art-38976218a59a4c70b9207c9b8da17e02 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-38976218a59a4c70b9207c9b8da17e022025-02-03T00:58:57ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/71695977169597In Search of Chaos and Complexity of a Cognitive Language-Learning SystemGaofei Luo0Sayan Mukherjee1School of Foreign Languages, Shaoyang University, Shaoyang 422000, ChinaDepartment of Mathematics, Sivanath Sastri College, Kolkata, IndiaIn this article, we investigate the long-term dynamics of a known cognitive-based language-learning system under the variation of a system parameter. Stability of the equilibrium points is studied. Period root to chaos is investigated by bifurcation analysis. A Lyapunov analysis is performed to verify the complex dynamics in the system. Existence of chaos is confirmed by 0-1 test. A noise-induced cognitive phenomenon is proposed under the effect of power noise. Chaotic and nonchaotic dynamics are explored in the noise-induced system. Furthermore, disorder as well as complexity, are investigated for both the systems using the concept of weighted recurrence. The whole analysis can be effective to understand the dynamical features and nonlinear structure of the cognitive language-learning model.http://dx.doi.org/10.1155/2020/7169597 |
| spellingShingle | Gaofei Luo Sayan Mukherjee In Search of Chaos and Complexity of a Cognitive Language-Learning System Complexity |
| title | In Search of Chaos and Complexity of a Cognitive Language-Learning System |
| title_full | In Search of Chaos and Complexity of a Cognitive Language-Learning System |
| title_fullStr | In Search of Chaos and Complexity of a Cognitive Language-Learning System |
| title_full_unstemmed | In Search of Chaos and Complexity of a Cognitive Language-Learning System |
| title_short | In Search of Chaos and Complexity of a Cognitive Language-Learning System |
| title_sort | in search of chaos and complexity of a cognitive language learning system |
| url | http://dx.doi.org/10.1155/2020/7169597 |
| work_keys_str_mv | AT gaofeiluo insearchofchaosandcomplexityofacognitivelanguagelearningsystem AT sayanmukherjee insearchofchaosandcomplexityofacognitivelanguagelearningsystem |