In the study of dynamical systems there are many quantities that identify as "entropy". Notice that these quantities are not the more commonly known thermodynamic ones, used in Statistical Physics. Rather, they are more like the to the entropies of information theory, which represents information contained within a dataset, or information about the dimensional scaling of a dataset. Based on the definition of the generalized entropy, one can calculate an appropriate dimension.

In the study of dynamical systems there are many quantities that identify as "entropy". Notice that these quantities are not the more commonly known thermodynamic ones, used in Statistical Physics. Rather, they are more like the to the entropies of information theory, which represents information contained within a dataset, or information about the dimensional scaling of a dataset. Based on the definition of the generalized entropy, one can calculate an appropriate dimension.

March 22, 2019

- Lorenz Attractor We start with exploring Lorenz differential equations (also known as Lorenz attractor) using...
- Poincaré Surface of Section Poincaré surface of section (also referred to as Poincaré section or Poincaré map) is powerful...
- Delay Embedding We try to reconstruct a chaotic dynamical system from a time-series using Taken's delay...

- Chaos (2)
- Strange Attractor (1)
- Time Series (1)
- Phase Space (1)

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My name is Tolga Yalcinkaya (aka Dr. Kaos). I have a Ph.D. in Chaos & Nonlinear Dynamics, with a passion for data, finding patterns, and machine learning... A serial entrepreneur with successful exits and with spectacular failures :-) You can find more about my work at:

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- Chapter 12 in The Handbook of Data Mining
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