Abstract
The advent of chaos theory in the last decade has definitively separated the notions of determinism and predictability. A nonlinear dynamical system that displays a chaotic steady-state behavior is purely deterministic, but its long-term behavior cannot be predicted because of the property of sensitivity to initial conditions (SIC). This property of chaotic systems implies that two states, initially very close to each other, become very different as time elapses. Since it is impossible to know the state of a system with arbitrarily high precision, the SIC property also implies that, in practice, it is impossible to predict the long-term evolution of a chaotic system. One of the most promising applications of chaos theory, which exploits both the deterministic and unpredictable aspects of chaotic behavior, is chaos-based secure communications.
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Locquet, A. (2010). Chaos-Based Secure Optical Communications Using Semiconductor Lasers. In: Stavroulakis, P., Stamp, M. (eds) Handbook of Information and Communication Security. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04117-4_24
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DOI: https://doi.org/10.1007/978-3-642-04117-4_24
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