Index 281 Fourier expansion, 148, 213 fundamental domain, 41 fundamental solution linear autonomous difference equation, 18 linear autonomous differential equation, 4 nonautonomous linear difference equation, 118 nonautonomous linear differential equation, 101 Furstenberg-Kesten Theorem, 252 generalized eigenspace complex, 6 real, 9, 26 generalized eigenvector, 10 generator, 38, 121 Goldsheid-Margulis metric, 240, 247 gradient-like system, 66 Grassmannian linear autonomous differential equation, 87 metric, 85, 87, 239, 240 Gronwall’s lemma, 103 Hadamard inequality, 85, 94 Hamiltonian system, 143, 152 Hausdorff distance, 56 Hill’s equation, 145 homoclinic structures, 156 hyperbolic matrix, 34, 43 hyperellipsoid, 263 integrability condition, 227, 231 invariance of domain theorem, 38 invariant set, 156 isolated, 156 metric dynamical system, 227 minimal, 54 Jordan curve theorem, 209 Jordan normal form, 129 and smooth conjugacy, 33, 39 complex, 6 real, 7 Jordan subspace, 73, 77 jump times, 51, 52, 61, 66 kinematic similarity transformation, 142 kinetic energy, 152 Kingman’s subadditive ergodic theorem, 217 Kolmogorov’s construction, 226 limit set, 47, 49, 59 and chain component, 58 and chain transitivity, 53, 61 and time reversal, 50 linear autonomous differential equation on Grassmannian, 87 linear contraction, 40 linear expansion, 40 linear oscillator autonomous, 18 periodic, 144 with periodic restoring force, 145, 150 with random restoring force, 263, 265 with uncertain damping, 206 with uncertain restoring force, 204, 207 linearized differential equation, 117 Liouville formula, 105 locally integrable matrix function, 100 Lyapunov exponent average, 263 formula on the unit sphere, 122, 203 linear autonomous difference equation, 20 linear autonomous differential equation, 12 linear nonautonomous difference equation, 119 linear nonautonomous differential equation, 106 linear periodic difference equation, 131, 132 linear periodic differential equation, 139, 140, 142 linear random system numerical computation, 270 linear skew product flow, 115 linear topological flow, 172, 173, 192, 196 random linear system continuous time, 228 discrete time, 232 random system, 263 Lyapunov space and volume growth rate, 88 linear autonomous difference equation in projective space, 76 linear autonomous differential equation, 13, 21 in projective space, 72
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