- Explain the problem that the solution of "chaotic cryptography" is intended to solve
- You have the question tagged with encryption, cryptanalysis, and symmetric. So it sounds like it is a method of symmetric encryption.
- Explain why other pre-existing solutions are unsatisfactory
- e.g. they're slow, not provably secure, not well understood, etc
- Make sure these points are actually true and supported by references
- Explain the algorithm and how it is an improvement or why it is a better solution than previously listed solutions
Explaining the algorithm may be lost on people who have no experience with cryptography, especially if they have no experience with math or algorithms in general. But the guts of what the algorithm does is not always as useful as what the algorithm accomplishes.
I was going to leave this as a surprise to the user who asked the question, but it has been noted that the answer should state so explicitly:
Attempting to pursue this strategy with "chaotic cryptography" is going to fail at step 2 and step 3.
This is not because the strategy is insufficient, it is because there are no good reasons to pursue "chaotic cryptography".
Currently employed symmetric encryption algorithms are efficient, provide provable resistance to known attacks, are well understood, and importantly are standardized for public use.
To quote Geoffroy Couteau:
There have been almost no (if any) serious work on chaotic crypto providing any tool to base its security on clear and well-defined fundamental problems which resist cryptanalytic attempts. Today's chaotic crypto is at best a buzzword variant of the security-by-obscurity approach to crypto, which consists into thinking that "well, if we do many complicated stuff, that's probably hard to invert".
"Chaotic cryptography" is frequently coupled with "image encryption", and the latter demonstrates lack of understanding of basic principles of information theory and programming: There are no special requirements when encrypting images as opposed to any other types of information. Symmetric ciphers simply operate on bits.