Conjoined Lorenz-like attractors coined
In contrast to most other periodically forced chaotic systems with infinitely many isolated coexisting strange attractors, little seems to be known about the ones that possess conjoined Lorenz-like attractors with potential existence of infinitely many pairs of wings/scrolls. To achieve this target,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Miskolc University Press
2025-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4489 |
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| Summary: | In contrast to most other periodically forced chaotic systems with infinitely many isolated coexisting strange attractors, little seems to be known about the ones that possess conjoined Lorenz-like attractors with potential existence of infinitely many pairs of wings/scrolls. To achieve this target, this note proposes a new periodically forced extended Lorenz-like system, which generates infinitely many singularly degenerate heteroclinic cycles or heteroclinic orbits to any two equilibria of a family of non-hyperbolic lines, the collapses of which create not only the desirable conjoined Lorenz-like attractors, but also infinitely many isolated coexisting ones. What is more, the state variable xαω |
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| ISSN: | 1787-2405 1787-2413 |