Transmitting information by controlling nonlinear oscillators

DOI10.1016/j.physd.2004.06.006zbMath1069.34057OpenAlexW2074669284MaRDI QIDQ1881727

Luis Antonio Aguirre, Leonardo Antônio Borges Torres

Publication date: 14 October 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.06.006

zbMATH Keywords

chaosnonlinear oscillatorscontrol theoryinformation transmission

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Communication, information (94A99) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• The synchronization of chaotic systems
• Unveiling uncertain forces in second-order driven oscillators via internal model: a discrete-time feedback
• An open-plus-closed-loop (OPCL) control of complex dynamic systems
• Proportional-integral feedback demodulation for secure communications
• STEPS TOWARD UNMASKING SECURE COMMUNICATIONS
• ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY
• MULTICHANNEL COMMUNICATION USING AUTOSYNCHRONIZATION
• Signal Extraction from Chaotic Communications
• The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization
• Synchronization of Chaotic Systems and Transmission of Information
• CONTROL OF NONLINEAR DYNAMICS: WHERE DO MODELS FIT IN?
• Complete synchronizability of chaotic systems: A geometric approach