W D Crowe et al 1989 Nonlinearity 2 541 doi:10.1088/0951-7715/2/4/003
On the structure of the Mandelbar set
W D Crowe, R Hasson, P J Rippon and P E D Strain-Clark
Show affiliationsThe authors study the bifurcation diagram for iterates of the non-analytic maps z to fc(z)=z2+c. The set which they call the Mandelbar set, displays many similarities to the Mandelbrot set. However, bifurcations in MBAR can take place across boundary arcs rather than through boundary points.
- PACS
- MSC
-
37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations
- Subjects
- Dates
-
Issue 4 (November 1989)
-
On the structure of the Mandelbar set
W D Crowe et al 1989 Nonlinearity 2 541
-
Phase-conjugated mirror-induced oscillations outside the rotating-wave approximation
S S Hassan and O Frege 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S218
-
Combining GW calculations with exact-exchange density-functional theory: an analysis of valence-band photoemission for compound semiconductors
Patrick Rinke et al 2005 New J. Phys. 7 126
-
Integrability of the gauged linear sigma model for AdS5 × S5
William D. Linch III and Brenno Carlini Vallilo JHEP11(2009)007
-
Carbon payback times for crop-based biofuel expansion in the tropics: the effects of changing yield and technology
Holly K Gibbs et al 2008 Environ. Res. Lett. 3 034001
-
Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields
Urs Schreiber JHEP10(2004)035
-
Strongly interacting two-dimensional Dirac fermions
L.-K. Lim et al 2009 EPL 88 36001
-
Doubling of background solution in 5D stabilized brane world model
Mikhail N. Smolyakov JHEP11(2009)077
-
Metallic properties of magnesium point contacts
R H M Smit et al 2009 New J. Phys. 11 073043
-
Tunnelling and the Born-Oppenheimer approximation in optical lattices
S K Dutta and G Raithel 2000 J. Opt. B: Quantum Semiclass. Opt. 2 651
Related review articles
What's this?- Dimension of non-conformal repellers: a survey
- Progress in normal form theory
- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities