Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations

We report that signal encoding with high-dimensional chaos produced by delayed feedback systems with a strong nonlinearity can be broken. We describe the procedure and illustrate the method with chaotic waveforms obtained from a strongly nonlinear optical system that we used previously to demonstrat...

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Published inPhysics letters. A Vol. 308; no. 1; pp. 54 - 60
Main Authors Udaltsov, Vladimir S., Goedgebuer, Jean-Pierre, Larger, Laurent, Cuenot, Jean-Baptiste, Levy, Pascal, Rhodes, William T.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 17.02.2003
Elsevier
Subjects
Chaos
Chaotic cryptoanalysis
Engineering Sciences
Hyperchaos
Nonlinear dynamical forecasting
Other
Chaos
Hyperchaos
Chaotic cryptoanalysis
Nonlinear dynamical forecasting
05.45.-a
SYNCHRONIZATION
SCHEME
INFORMATION
SIGNALS
HYPERCHAOS
UNMASKING
FEEDBACK-SYSTEMS
COMMUNICATION
Online AccessGet full text

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Abstract We report that signal encoding with high-dimensional chaos produced by delayed feedback systems with a strong nonlinearity can be broken. We describe the procedure and illustrate the method with chaotic waveforms obtained from a strongly nonlinear optical system that we used previously to demonstrate signal encryption/decryption with chaos in wavelength. The method can be extended to any systems ruled by nonlinear time-delayed differential equations.
AbstractList We report that signal encoding with high-dimensional chaos produced by delayed feedback systems with a strong nonlinearity can be broken. We describe the procedure and illustrate the method with chaotic waveforms obtained from a strongly nonlinear optical system that we used previously to demonstrate signal encryption/decryption with chaos in wavelength. The method can be extended to any systems ruled by nonlinear time-delayed differential equations.
Author Cuenot, Jean-Baptiste
Udaltsov, Vladimir S.
Levy, Pascal
Larger, Laurent
Goedgebuer, Jean-Pierre
Rhodes, William T.
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  givenname: Jean-Pierre
  surname: Goedgebuer
  fullname: Goedgebuer, Jean-Pierre
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  givenname: Laurent
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  givenname: Jean-Baptiste
  surname: Cuenot
  fullname: Cuenot, Jean-Baptiste
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  givenname: Pascal
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  givenname: William T.
  surname: Rhodes
  fullname: Rhodes, William T.
  organization: GTL-CNRS TELECOM, UMR CNRS 6603, Georgia Tech Lorraine, 57070 Metz, France
BackLink https://hal.science/hal-00095021$$DView record in HAL
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Issue 1
Keywords Chaos
Hyperchaos
Chaotic cryptoanalysis
Nonlinear dynamical forecasting
05.45.-a
SYNCHRONIZATION
SCHEME
INFORMATION
SIGNALS
HYPERCHAOS
UNMASKING
FEEDBACK-SYSTEMS
COMMUNICATION
Language English
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  ident: 10.1016/S0375-9601(02)01776-0_BIB010
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.83.5389
  contributor:
    fullname: Geddes
– volume: 33
  start-page: 1134
  year: 1986
  ident: 10.1016/S0375-9601(02)01776-0_BIB016
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.33.1134
  contributor:
    fullname: Fraser
SSID ssj0001609
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Snippet We report that signal encoding with high-dimensional chaos produced by delayed feedback systems with a strong nonlinearity can be broken. We describe the...
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elsevier
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StartPage 54
SubjectTerms Chaos
Chaotic cryptoanalysis
Engineering Sciences
Hyperchaos
Nonlinear dynamical forecasting
Other
Title Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations
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