000 a
999 _c29706
_d29706
008 191121b xxu||||| |||| 00| 0 eng d
020 _a9783319735481
082 _a003​.857
_bWAN
100 _aWang, Qianxue
245 _aDesign of digital chaotic systems updated by random iterations
260 _bSpringer
_c2018
_acham
300 _axiii, 110 p.
_bill.
_c24 cm.
365 _b54.99
_cEUR
_d82.00
504 _aIncludes bibliographical references.
520 _aThis 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.
650 _aElectronic Circuits
650 _aSystems Theory and Control.
650 _aDynamical Systems
650 _aCircuits and​ Components
650 _aCybernetics
650 _aChaotic behavior in systems
650 _aIterative methods
710 _aYu, Simin
710 _aGuyeux, Christophe
942 _2ddc
_cBK