Index
a point, 78
accessible boundary point, 48
accumulation set, 69
affine transformations, 128
Arzela-Ascoli Theorem, 60
attracting, 63, 64, 66, 72
attracting cycle, 79
attracting fixed point, 4, 66
attracting periodic point, 63
attracting set, 38
attractive basin, 66, 79
attractive cycle, 66, 69
attractor, 38, 131
base of attraction, 38
basin boundary metamorphoses, 52
basin of attraction, 41
bifurcation, 7
bifurcation diagram, 11
bifurcation set, 81
Birkhoff, G. D., 51
Blanchard, P., 65, 77
Borel measure, 138
bounded density, 112
box dimension, 110
Branner, 58
Brolin, H., 77
Brooks, R., 77
Camacho, 65
canonical coordinates, 89
Cantor set, 14, 31, 71, 114
Caratheodory, 49
Cartwright and Littlewood, 51
Cayley, A., 77
cellular, 92
center of hyperbolic component, 86
chaos, 17
chaotic behavior, 57, 58
chaotic trajectory, 41
Collage Theorem, 135, 139
comparable net measures, 110
completely invariant, 60, 61, 62,
63,69
completely invariant components,
69
complex exponential, 22
computer graphics, 141
condensation set, 133, 134
condensation transformation, 134
connected, 73
connectivity, 69, 72
continued fractal, 117
continued fraction, 117
contraction, 112
contraction mappings, 130
contraction ratio, 112
contractivity factor, 135, 136
Cremer, 68
critical, 63
critical point, 58, 64, 66, 67, 69,
70, 71, 72, 77
critical value, 58, 78
cross section, 27
cycle, 6, 78
145
Previous Page Next Page