\begin{theindex}

  \item almost everywhere, 20, 37
  \item attractor, 15
    \subitem global, 15
  \item autonomous system, 8
  \item axiom~A, 29

  \indexspace

  \item basin of attraction, 15
  \item bifurcation, 6, 8, 24, 29, 30, 34, 42
    \subitem flip, 9, 36
    \subitem fold, 35
    \subitem Hopf, 36
    \subitem pitchfork, 35
    \subitem transcritical, 36
  \item box-counting, 17

  \indexspace

  \item capacity dimension, 17
  \item chaos, 3
  \item circle map, 10
  \item codimension, 34
  \item continuation, 34, 37
  \item correlation dimension, 18

  \indexspace

  \item diffeomorphism, 9
  \item dimension, 8
    \subitem capacity, 17
    \subitem correlation, 18
    \subitem fractal, 17
    \subitem Hausdorff, 17
    \subitem information, 19
    \subitem Lyapunov, 19, 31

  \indexspace

  \item embedding, 19
  \item entropy, 8, 31
  \item equilibrium (fixed) point, 7, 9, 12, 24
  \item exponential dichotomies, 28

  \indexspace

  \item Fermi-Pasta-Ulam, 5, 13
  \item flows, 8
  \item fluid equations, 6
  \item fractal, 17
  \item fractal dimension, 17

  \indexspace

  \item generic, 20, 34

  \indexspace

  \item Hausdorff dimension, 17
  \item Hausdorff metric, 16
  \item heat equation, 12
  \item homoclinic orbits, 7, 38
  \item homotopy methods, 37
  \item hyperbolicity, 24, 28, 34, 38, 39, 43--45

  \indexspace

  \item immersion, 21
  \item information dimension, 19
  \item initial value problems, 28
  \item integrable map, 11
  \item invariant tori, 7
  \item irreversibility, 5
  \item island chain, 11

  \indexspace

  \item Jacobian matrix, 9

  \indexspace

  \item KAM theorem, 11

  \indexspace

  \item limit cycle, 12, 36, 46
  \item logistic map, 9
  \item lower semi-continuous, 16
  \item Lyapunov dimension, 19, 31
  \item Lyapunov exponents, 8, 31
  \item Lyapunov stability, 30
  \item Lyapunov--Schmidt reduction, 35

  \indexspace

  \item machine epsilon, 14, 28, 33, 46
  \item manifold, 4, 8, 21, 24
    \subitem approximate inertial, 43
    \subitem centre, 7, 29, 30
    \subitem centre stable \& unstable, 30
    \subitem inertial, 4, 7, 30, 40
    \subitem invariant, 6, 29
    \subitem stable \& unstable, 25--27, 38
  \item molecular dynamics, 3, 5, 13

  \indexspace

  \item non-wandering set, 29

  \indexspace

  \item phase space, 2, 8
  \item prevalence, 20, 34

  \indexspace

  \item QR factorisation, 32, 33, 39

  \indexspace

  \item rotation number, 10

  \indexspace

  \item semiflows, 9
  \item shadowing, 7, 43
  \item singular value, 31
  \item singular value decomposition (SVD), 34
  \item slaving, 4
  \item solitons, 5
  \item stabilised march, 33
  \item stability boundary, 24, 34
  \item stable subspace, 25
  \item state space, 2
  \item statistical mechanics
    \subitem equilibrium, 5, 13
    \subitem non-equilibrium, 5, 13
  \item structural stability, 24
  \item Sylvester equation, 26
  \item synergetics, 4

  \indexspace

  \item treppeniteration, 32
  \item two point boundary value problems, 28, 38

  \indexspace

  \item unfolding, 35
  \item unit roundoff, 14, 33
  \item unstable subspace, 25
  \item upper semi-continuous, 16

  \indexspace

  \item van der Pol oscillator, 11, 46

\end{theindex}