Recently, a novel dynamical data encryption system based on synchronised ch
aotic systems was proposed For security communication. Based on the same sy
nchronised chaotic systems, its dynamical cryptography is investigated. In
this system, the ciphertext of each bit is mapped to one of two distinct ch
aotic dynamical equations. The ciphertext can be decrypted by its synchroni
sed chaotic equation. This method can prevent intruders From recovering the
information signals by statistical methods. To demonstrate its effectivene
ss, a 2 bit dynamical data cryptosystem based entirely on the Lorenz system
is presented.