Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications pp 175-201 | Cite as
Synchronization and Applications of Fractional-Order Chaotic Systems
Chapter
First Online:
- 1 Citations
- 209 Downloads
Abstract
Fractional-order chaotic oscillators can be used to generate random binary strings for cryptographic applications. This is one of the applications described herein, as well as one example of implementing a secure communication scheme based on fractional-order chaotic attractors. In this case, two fractional-order chaotic oscillators are synchronized and adapted to design a transmitter-receiver topology that is implemented on FPGAs. This fractional-order secure communication system is tested by performing the masking of several images.
Keywords
Synchronization Hamiltonian forms OPCL Master-slave topology Secure communication Random number generator Image encryption Chaotic masking RGB Error CorrelationReferences
- 1.L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems. Phys. Rev. Lett. 64(8), 821 (1990)MathSciNetCrossRefGoogle Scholar
- 2.L.M. Pecora, T.L. Carroll, Synchronizing chaotic circuits. IEEE Trans. Circuits Syst. 38, 453–456 (1991)CrossRefGoogle Scholar
- 3.O. Guillén-Fernández, A. Meléndez-Cano, E. Tlelo-Cuautle, J.C. Núñez-Pérez, J. de Jesus Rangel-Magdaleno, On the synchronization techniques of chaotic oscillators and their FPGA-based implementation for secure image transmission. PloS One 14(2), e0209618 (2019)CrossRefGoogle Scholar
- 4.H. Sira-Ramirez, C. Cruz-Hernández, Synchronization of chaotic systems: a generalized Hamiltonian systems approach. Int. J. bifurcation Chaos 11(5), 1381–1395 (2001)CrossRefGoogle Scholar
- 5.E.A. Jackson, I. Grosu, An open-plus-closed-loop (OPCL) control of complex dynamic systems. Phys. D Nonlinear Phenomena 85(1–2), 1–9 (1995)MathSciNetCrossRefGoogle Scholar
- 6.A.I. Lerescu, N. Constandache, S. Oancea, I. Grosu, Collection of master–slave synchronized chaotic systems. Chaos Solitons Fractals 22(3), 599–604 (2004)CrossRefGoogle Scholar
Copyright information
© Springer Nature Switzerland AG 2020