Stability of Chaotic and Hyperchaotic Finance Systems
Abstract<br /> In this paper, a three (four) dimensional autonomous Finance chaotic (hyperchaotic) system is considered, and we obtained the stability of this systems. We show that the chaotic (three dimensional) system is asymptotically stable at the critical points when , and unstable otherw...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
College of Education for Pure Sciences
2013-10-01
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| Series: | مجلة التربية والعلم |
| Subjects: | |
| Online Access: | https://edusj.mosuljournals.com/article_89963_956149fffb8935b292b436863647cfc3.pdf |
| _version_ | 1818271062519971840 |
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| author | Ahmmed Mohammed Jumaa Alaa Hammodat |
| author_facet | Ahmmed Mohammed Jumaa Alaa Hammodat |
| author_sort | Ahmmed Mohammed Jumaa |
| collection | DOAJ |
| description | Abstract<br /> In this paper, a three (four) dimensional autonomous Finance chaotic (hyperchaotic) system is considered, and we obtained the stability of this systems. We show that the chaotic (three dimensional) system is asymptotically stable at the critical points when , and unstable otherways. While the hyperchaotic (four dimensional) system is asymptotically stable if the variables has the form . Finally, illustrative examples are given. |
| first_indexed | 2024-12-12T21:20:12Z |
| format | Article |
| id | doaj.art-a749b6bd979b4dc9bb453ed267422871 |
| institution | Directory Open Access Journal |
| issn | 1812-125X 2664-2530 |
| language | Arabic |
| last_indexed | 2024-12-12T21:20:12Z |
| publishDate | 2013-10-01 |
| publisher | College of Education for Pure Sciences |
| record_format | Article |
| series | مجلة التربية والعلم |
| spelling | doaj.art-a749b6bd979b4dc9bb453ed2674228712022-12-22T00:11:37ZaraCollege of Education for Pure Sciencesمجلة التربية والعلم1812-125X2664-25302013-10-012649710610.33899/edusj.2013.8996389963Stability of Chaotic and Hyperchaotic Finance SystemsAhmmed Mohammed JumaaAlaa HammodatAbstract<br /> In this paper, a three (four) dimensional autonomous Finance chaotic (hyperchaotic) system is considered, and we obtained the stability of this systems. We show that the chaotic (three dimensional) system is asymptotically stable at the critical points when , and unstable otherways. While the hyperchaotic (four dimensional) system is asymptotically stable if the variables has the form . Finally, illustrative examples are given.https://edusj.mosuljournals.com/article_89963_956149fffb8935b292b436863647cfc3.pdfkeywordsstabilityrouthhurwitz |
| spellingShingle | Ahmmed Mohammed Jumaa Alaa Hammodat Stability of Chaotic and Hyperchaotic Finance Systems مجلة التربية والعلم keywords stability routh hurwitz |
| title | Stability of Chaotic and Hyperchaotic Finance Systems |
| title_full | Stability of Chaotic and Hyperchaotic Finance Systems |
| title_fullStr | Stability of Chaotic and Hyperchaotic Finance Systems |
| title_full_unstemmed | Stability of Chaotic and Hyperchaotic Finance Systems |
| title_short | Stability of Chaotic and Hyperchaotic Finance Systems |
| title_sort | stability of chaotic and hyperchaotic finance systems |
| topic | keywords stability routh hurwitz |
| url | https://edusj.mosuljournals.com/article_89963_956149fffb8935b292b436863647cfc3.pdf |
| work_keys_str_mv | AT ahmmedmohammedjumaa stabilityofchaoticandhyperchaoticfinancesystems AT alaahammodat stabilityofchaoticandhyperchaoticfinancesystems |