Open AccessThe Extended Malkus–Robbins Dynamo as a Perturbed Lorenz System
Author(s) -
Irene M. Moroz
Publication year - 2005
Publication title -
nonlinear dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.252
H-Index - 118
eISSN - 1573-269X
pISSN - 0924-090X
DOI - 10.1007/s11071-005-2808-x
Subject(s) - bifurcation , dynamo , mathematics , homoclinic bifurcation , lorenz system , chaos (operating system) , bifurcation theory , pitchfork bifurcation , bogdanov–takens bifurcation , physics , mathematical analysis , nonlinear system , computer science , magnetic field , quantum mechanics , attractor , computer security
Recent investigations of some self-exciting Faraday-disk homopolar dynamos [Hide, R. and Moroz, I. M., Physica D 134, 1999, 387-301; Moroz, I. M. and Hide, R., International Journal of Bifurcation and Chaos 2000, 2701-2716; Moroz, I. M., International Journal of Bifurcation and Chaos 13, 2003, 147-161; Moroz, I. M., International Journal of Bifurcation and Chaos, to appear] have yielded the classic Lorenz equations as a special limit when one of the principal bifurcation parameters is zero. In this paper we focus upon one of those models [Moroz, I. M., International Journal of Bifurcation and Chaos 13, 2003, 147-161] and illustrate what happens to some of the lowest order unstable periodic orbits as this parameter is increased from zero. © Springer 2005
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom