Index
adapted norm, 35, 40
almost periodic function, 154
alternating k-linear map, 83
alternating product, 84
attractor, 159, 168
and Morse decomposition, 162
neighborhood, 159
attractor-repeller pair, 160
base component, 114, 121
base flow, 114
base space, 114, 121
basic set, 60
bilinear control system, 201
binary representation, 65
Birkhoff’s ergodic theorem, 214
bit shift, 65
Blaschke’s theorem, 55
Borel-Cantelli Lemma, 256
center subbundle
linear periodic difference equation,
135
linear periodic differential equation,
143
random linear system, 229, 232
robust linear system, 205
topological linear system, 175
center subspace
linear autonomous difference
equation, 24
linear autonomous differential
equation, 16
linear periodic difference equation,
135
linear periodic differential equations,
143
random linear system, 229, 232
chain, 50, 60
concatenation, 186
jump time, 51, 52, 61, 66
total time, 51
chain component, 51, 58, 60, 62, 165
and Lyapunov space, 72, 76, 92, 134,
142
in Grassmannian
linear autonomous differential
equation, 92
in projective bundle
linear periodic difference equation,
134
linear periodic differential
equation, 142
topological linear flow, 173, 182
in projective space
linear autonomous difference
equation, 75
linear autonomous differential
equation, 72
chain exponent, 172
chain limit set, 164
chain reachability, 51
chain recurrent point, 51, 60
chain recurrent set, 51, 58, 60, 165
and connectedness, 58, 61
and limit sets, 53
279
Previous Page Next Page