TY - JOUR
T1 - A Novel Chaotic System with a Line Equilibrium
T2 - Analysis and Its Applications to Secure Communication and Random Bit Generation †
AU - Moysis, Lazaros
AU - Volos, Christos
AU - Stouboulos, Ioannis
AU - Goudos, Sotirios
AU - Çiçek, Serdar
AU - Pham, Viet Thanh
AU - Mishra, Vikas K.
N1 - Funding Information:
This research is co-financed by Greece and the European Union (European Social Fund- ESF) through the Operational Programme «Human Resources Development, Education and Lifelong Learning» in the context of the project “Reinforcement of Postdoctoral Researchers—2nd Cycle” (MIS-5033021), implemented by the State Scholarships Foundation (IKY). This research is funded by PHENIKAA University under grant number 03.2019.02. The research leading to these results has received funding from the Fond for Scientific Research Vlaanderen (FWO) projects G028015N and G090117N and the FNRS-FWO under Excellence of Science (EOS) Project no 30468160 “Structured low-rank matrix/tensor approximation: numerical optimization-based algorithms and applications”. Acknowledgments
Publisher Copyright:
© 2020 by the authors.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - In this study, a novel two-parameter, three-dimensional chaotic system is constructed. The system has no linear terms and its equilibrium is a line, so it is a system with hidden attractors. The system is first studied by computation of its bifurcation diagrams and diagram of Lyapunov exponents. Then, the system is applied to two encryption related problems. First, the problem of secure communications is considered, using the symmetric chaos shift keying modulation method. Here, the states of the chaotic system are combined with a binary information signal in order to mask it, safely transmit it through a communication channel, and successfully reconstruct the information at the receiver end. In the second problem, the states of the system are utilized to design a simple rule to generate a bit sequence that possesses random properties, and is thus suitable for encryption related applications. For both applications, simulations are performed through Matlab to verify the soundness of the designs.
AB - In this study, a novel two-parameter, three-dimensional chaotic system is constructed. The system has no linear terms and its equilibrium is a line, so it is a system with hidden attractors. The system is first studied by computation of its bifurcation diagrams and diagram of Lyapunov exponents. Then, the system is applied to two encryption related problems. First, the problem of secure communications is considered, using the symmetric chaos shift keying modulation method. Here, the states of the chaotic system are combined with a binary information signal in order to mask it, safely transmit it through a communication channel, and successfully reconstruct the information at the receiver end. In the second problem, the states of the system are utilized to design a simple rule to generate a bit sequence that possesses random properties, and is thus suitable for encryption related applications. For both applications, simulations are performed through Matlab to verify the soundness of the designs.
KW - chaos
KW - CSK modulation
KW - hidden attractor
KW - line equilibrium
KW - PRBG
KW - random bit generation
KW - secure communications
UR - http://www.scopus.com/inward/record.url?scp=85122091060&partnerID=8YFLogxK
U2 - 10.3390/telecom1030019
DO - 10.3390/telecom1030019
M3 - Article
AN - SCOPUS:85122091060
VL - 1
SP - 283
EP - 296
JO - Telecom
JF - Telecom
SN - 2673-4001
IS - 3
ER -