Lyapunov convergence and bugfixes

See the changelog!

Unstable Periodic Orbits

See the changelog!

(Plus AWESOME new index page)

Numerical Lyapunov

• Added method to estimate optimal delay time estimate_delay.
• Added abstract AbstractDataset supertype.
• Completely changed the way Reconstruction is done.
• Added more methods, interaction and smart indexing related to the (new)
  Reconstruction object. See the new docstring of reconstruct for usage.
• Added a new method that enables the calculation of the maximum Lyapunov
  exponent from a numeric timeseries (like an experimental recording).
  This method (called numericallyapunov) operates on a reconstruction, using
  4 different algorithms. See the docstring of numericallyapunov for
  more info!
• Added double_pendulum to famous systems.

Dataset + Speedup

v0.2.0: Major Improvements and new features

• Improved algorithm for deducing best boxsizes (using min_pairwise_distance)
• All numerical data is now structured and expected to be in the Dataset Type,
  which by itself defines a new interface (identical to matrix).
• Major speed improvements in lyapunov function calculation.
• Major speed improvements in histogram computation.
• A new qr method for small matrices, faster than Base.qr (see qr_sq).
• Reconstruction interface.
• New and better docs.
• Better integration of SVectors in the package all around.
• Better default keywords for attractor dimension and lyapunov exponents.
• Equations of motion on all famous systems.

First release

This is a first release, and fully stable.
However future versions have much more contents!

Attractor Dimension Estimation

See the docs!

Histograms, entropies, linear regions (super-efficient)

Special histogram + Generilized dimensions

HUGE update:
Specialized histogram method that is 3 to 6 orders of magnitude more efficient than StatsBase histogram. Completed renyi. Made linear estimator that estimates linear scales and stuff. (automatic dimension estimation)

What is left is to make direct methods (e.g. `boxcounting()` etc.)

Lyapunovs of Continuous systems

MASSIVE docs update

I need to add tests and automated dimension estimation for renyi and then this chapter is also done.

Discrete Systems and Lyapunov exponents

v0.0.1

Create README.md