Time scaling of chaotic systems: Application to secure communications

Donatello Materassi, Michele Basso

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos encryption technique to transmit a binary signal through an analog channel is proposed. The scheme is based on a suitable time-scaling function which plays the role of a private key. The encoded transmitted signal is proved to resist known decryption attacks offering a secure and reliable communication.

Original languageEnglish (US)
Pages (from-to)567-575
Number of pages9
JournalInternational Journal of Bifurcation and Chaos
Issue number2
StatePublished - Feb 2008
Externally publishedYes


  • Chaos synchronization
  • Chaotic encryption
  • Secure communication
  • Time-scaling


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