A multi-directional controllable multi-scroll conservative chaos generator: Modelling, analysis, and FPGA implementation*
Enzeng Dong, Ronghao Li, Shengzhi Du
Abstract
Combing with the generalized Hamiltonian system theory, by introducing a special form of sinusoidal function, a class of n -dimensional ( n = 1,2,3) controllable multi-scroll conservative chaos with complicated dynamics is constructed. The dynamics characteristics including bifurcation behavior and coexistence of the system are analyzed in detail, the latter reveals abundant coexisting flows. Furthermore, the proposed system passes the NIST tests and has been implemented physically by FPGA. Compared to the multi-scroll dissipative chaos, the experimental portraits of the proposed system show better ergodicity, which have potential application value in secure communication and image encryption.
Topics & Concepts
ScrollComputer scienceCHAOS (operating system)Generator (circuit theory)Dissipative systemField-programmable gate arrayStatistical physicsPhase portraitNISTErgodicityEncryptionBifurcationAlgorithmControl theory (sociology)PhysicsArtificial intelligenceNonlinear systemMechanical engineeringComputer hardwareControl (management)Computer securityNatural language processingPower (physics)Operating systemEngineeringQuantum mechanicsChaos control and synchronizationQuantum chaos and dynamical systemsChaos-based Image/Signal Encryption