diff --git a/README.md b/README.md
index c0602f8..8fd66cf 100644
--- a/README.md
+++ b/README.md
@@ -45,6 +45,11 @@ The available commands are
   In addition, if alpha has a negative value (even in between `print_freq`
   intervals), a line is printed with the information.
 
+* `lyapunov`: to compute the Lyapunov exponents. This command prints
+  ```time instantaneous_lyapunov lyapunov```
+  where `instantaneous_lyapunov` is computed from the tangent flow only between
+  the given time and the previous one.
+
 * `uk`: to compute the Fourier transform of the solution.
 
 * `quiet`: does not print anything, useful for debugging.
@@ -138,13 +143,27 @@ should be a `;` sperated list of `key=value` pairs. The possible keys are
 * `print_alpha` (0 or 1, default 0): if this is set to 1, then whenever alpha
   is negative, its value is printed as a comment.
 
+* `lyapunov_reset` (double, default: `print_freq`): if this is set, then, when
+  computing the Lyapnuov exponents, the tangent flow will renormalize itself at
+  times proportional to `lyapunov_reset`. This option is incompatible with
+  `lyapunov_maxu`.
+
+* `lyapunov_maxu` (double, default: unset): if this is set, then, when
+  computing the Lyapnuov exponents, the tangent flow will renormalize itself
+  whenever the norm of the tangent flow exceeds  `lyapunov_maxu`.  This option
+  is incompatible with `lyapunov_reset`.
+
+* `algorithm_lyapunov`: the algorithm used to integrate the tangent flow. Can
+  be `RK4` for Runge-Kutta 4 (default) or `RK2` for Runge-Kutta 2. Adaptive
+  step algorithms cannot be used for the tangent flow.
+
 
 # Interrupting and resuming the computation
 
-The computation can be interrupted by sending Nstrophy the `SIGINT` signal
-(e.g. by pressing `Ctrl-C`.) When Nstrophy receives the `SIGINT` signal, it
-finishes its current step and writes the value of uk, either to `savefile` if
-such a file was specified on the command line (using the `-s` flag), or to
+The `enstrophy` computation can be interrupted by sending Nstrophy the `SIGINT`
+signal (e.g. by pressing `Ctrl-C`.) When Nstrophy receives the `SIGINT` signal,
+it finishes its current step and writes the value of uk, either to `savefile`
+if such a file was specified on the command line (using the `-s` flag), or to
 `stderr`. In addition, when a `savefile` is specified it writes the command
 that needs to be used to resume the computation (which essentially just sets
 the appropriate `starting_time` and `init:file:<savefile>` parameters. The data