|Project Description: ||This derivation of symmetric encryption keys using chaotic systems is a result of research in elliptic curve cryptographic protocols and the chaotic wanderings of stars around black holes. This document is an analytical specification of a single method for synchronizing chaotic systems to produce a sequence of encryption keys. The key generator runs in real-time, and its output keys are able to support Cryptographic Block Chaining (CBC) Mode Symmetric Key Cryptography, rotating keys for each block of data encrypted. In the case of a dynamic orbit that results in strong keys, it is possible that the key sequence will never be reused as dynamic chaotic systems produce very non-linear results exhibiting a high degree of entropy. This synchronized chaotic key generator allows encryption keys to be computed from values within an initial handshake protocol and that only a time slice or computational subscript of the actual encryption key be sent using the key transport medium when keys are rotated. This Synchronized Chaotic Key Generator is designed to enable constrained systems to transfer secure high-rate data streams over mixed wired and wireless local area network (LAN) or wireless local area network (WLAN) systems with minimal energy and computational resource consumption as a direct result of key generation.