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Replication of chaos
Date
2013-10-01
Author
Akhmet, Marat
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We propose a rigorous method for replication of chaos from a prior one to systems with large dimensions. Extension of the formal properties and features of a complex motion can be observed such that ingredients of chaos united as known types of chaos, Devaney's, Li-Yorke and obtained through period-doubling cascade. This is true for other appearances of chaos: intermittency, structure of the chaotic attractor, its fractal dimension, form of the bifurcation diagram, the spectra of Lyapunov exponents, etc. That is why we identify the extension of chaos through the replication as morphogenesis.
Subject Keywords
Modelling and Simulation
,
Applied Mathematics
,
Numerical Analysis
URI
https://hdl.handle.net/11511/40295
Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
DOI
https://doi.org/10.1016/j.cnsns.2013.01.021
Collections
Department of Mathematics, Article
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M. Akhmet, “Replication of chaos,”
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
, pp. 2626–2666, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40295.