6533b823fe1ef96bd127e3b9

RESEARCH PRODUCT

D3 Dihedral Logistic Map of Fractional Order

Nikolay KuznetsovMarius-f. Danca

subject

kaaosteoriaGeneral Mathematicscomputational_mathematicscaputo delta fractional differencedihedral symmetry <i>D</i><sub>3</sub>attraktoritmatemaattinen analyysiNonlinear Sciences::Chaotic DynamicsbifurkaatioQA1-939Computer Science (miscellaneous)dihedral symmetry D3dynaamiset systeemitEngineering (miscellaneous)Mathematicsdiscrete fractional-order systemdiscrete fractional-order system; caputo delta fractional difference; hidden attractor; dihedral symmetry <i>D</i><sub>3</sub>hidden attractor

description

In this paper, the D3 dihedral logistic map of fractional order is introduced. The map presents a dihedral symmetry D3. It is numerically shown that the construction and interpretation of the bifurcation diagram versus the fractional order requires special attention. The system stability is determined and the problem of hidden attractors is analyzed. Furthermore, analytical and numerical results show that the chaotic attractor of integer order, with D3 symmetries, looses its symmetry in the fractional-order variant.

yearjournalcountryeditionlanguage
2021-12-20
http://urn.fi/URN:NBN:fi:jyu-202202171543