Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 003.857 WAN (Browse shelf) | Available | 032138 |
003.8501135369 HAN Dynamic modeling | 003.8501135369 HAN Dynamic modeling | 003.85015118 MOR Art of modeling dynamic systems : forecasting for chaos, randomness, and determinism | 003.857 WAN Design of digital chaotic systems updated by random iterations | 003.857 ABR Chaos avant-garde : memories of the early days of chaos theory | 003.857 BOC Experimental Chaos : eighth experimental chaos conference | 003.857 FIE Symmetry in chaos : a search for pattern in mathematics, art, and nature |
Includes bibliographical references.
This brief studies the general problem of constructing digital chaotic systems in devices with finite precision from low-dimensional to high-dimensional settings, and establishes a general framework for composing them. The contributors demonstrate that the associated state networks of digital chaotic systems are strongly connected. They then further prove that digital chaotic systems satisfy Devaney{u2019}s definition of chaos on the domain of finite precision. The book presents Lyapunov exponents, as well as implementations to show the potential application of digital chaotic systems in the real world; the authors also discuss the basic advantages and practical benefits of this approach.� The authors explore the solutions to dynamic degradation (including short cycle length, decayed distribution and low linear complexity) by proposing novel modelling methods and hardware designs for two different one-dimensional chaotic systems, which satisfy Devaney{u2019}s definition of chaos. They then extend it to a higher-dimensional digital-domain chaotic system, which has been used in image-encryption technology. This ensures readers do not encounter large differences between actual and theoretical chaotic orbits through small errors.
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