Index
(·, ·)-separated set, 8
I-functional, 8, 80
S-attractor, 12, 82
S-functional, 9, 78
ω-limit set, 13
(·, ·, ·, ·, ·)-separated set, 33
adiabatic fluctuations, 13
adiabatic transitions, 84
adiabatic behavior, 81
attractor, 12
averaged equation, 3, 76
averaged flow, 81
averaged motion, 5, 80
averaging principle, 3, 76
basic hyperbolic set, 7
basin, 12
climate–weather system, 2, 76
complete, 11, 82
constants of motion, 2
continuous time Markov chain, 81
convex analysis duality, 78
convex duality theorem, 8
difference equations, 5
diffusion process, 81
Doeblin condition, 80
elliptic operator, 80
entropy, 8
equilibrium state, 8
expanding cones, 5
expanding disc, 20
expanding leaves, 5
expanding transformations, 6
fast motion, 2, 76
fully coupled system, 3
generator, 79
Gronwall inequality, 32
Hamiltonian system, 2, 10
hyperbolic attractor, 7
hyperbolic set, 7
invariant measure, 8, 80
large deviations, 10, 79
Markov chains, 86
Markov process, 76
Markov property, 48, 90, 104, 110
minimal, 12, 82
moderate deviations, 5
partially hyperbolic, 4
random evolutions, 79
resonance, 3, 10
slow motion, 2, 76
SRB measure, 4, 8
stable cones, 18
stochastic differential equation, 79
stochastic resonance, 5
strong Markov property, 56, 110
topological pressure, 8
topologically transitive, 11, 82
uniquely ergodic, 12
unstable cones, 18
unstable disc, 20
variational principle, 8
volume lemma, 5, 25
Young measures, 4, 69, 76, 119
129
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