dc.contributor.author | Das, S | |
dc.contributor.author | Pan, I | |
dc.date.accessioned | 2018-01-29T12:11:36Z | |
dc.date.issued | 2018-01-31 | |
dc.description.abstract | In a recent paper, we presented an intelligent evolutionary search technique through genetic
programming (GP) for finding new analytical expressions of nonlinear dynamical systems,
similar to the classical Lorenz attractor’s which also exhibit chaotic behaviour in the phase
space. In this paper, we extend our previous finding to explore yet another gallery of new
chaotic attractors which are derived from the original Lorenz system of equations. Compared
to the previous exploration with sinusoidal type transcendental nonlinearity, here we focus
on only cross-product and higher-power type nonlinearities in the three state equations. We
here report over 150 different structures of chaotic attractors along with their one set of
parameter values, phase space dynamics and the Largest Lyapunov Exponents (LLE). The
expressions of these new Lorenz-like nonlinear dynamical systems have been automatically
evolved through multi-gene genetic programming (MGGP). In the past two decades, there
have been many claims of designing new chaotic attractors as an incremental extension of
the Lorenz family. We provide here a large family of chaotic systems whose structure closely
resemble the original Lorenz system but with drastically different phase space dynamics.
This advances the state of the art knowledge of discovering new chaotic systems which can
find application in many real-world problems. This work may also find its archival value in
future in the domain of new chaotic system discovery | en_GB |
dc.identifier.citation | Published online 31-01-2018. | en_GB |
dc.identifier.doi | 10.1016/j.apm.2018.01.015 | |
dc.identifier.uri | http://hdl.handle.net/10871/31221 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.rights.embargoreason | Under embargo until 31st January 2019 in compliance with publisher policy. | en_GB |
dc.rights | ©2018 Elsevier Inc. All rights reserved. | |
dc.subject | New chaotic attractors | en_GB |
dc.subject | genetic programming | en_GB |
dc.subject | Lorenz family | en_GB |
dc.subject | Lyapunov exponent | en_GB |
dc.subject | cross-product nonlinearity | en_GB |
dc.subject | third order chaotic flow | en_GB |
dc.title | Evolving chaos: identifying new attractors of the generalised Lorenz family | en_GB |
dc.type | Article | en_GB |
dc.identifier.issn | 0307-904X | |
dc.description | This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record. | en_GB |
dc.identifier.journal | Applied Mathematical Modelling | en_GB |