PMID- 35776758
OWN - NLM
STAT- MEDLINE
DCOM- 20220707
LR  - 20220725
IS  - 1932-6203 (Electronic)
IS  - 1932-6203 (Linking)
VI  - 17
IP  - 7
DP  - 2022
TI  - Implementation of synchronization of multi-fractional-order of chaotic neural 
      networks with a variety of multi-time-delays: Studying the effect of double 
      encryption for text encryption.
PG  - e0270402
LID - 10.1371/journal.pone.0270402 [doi]
LID - e0270402
AB  - This research proposes the idea of double encryption, which is the combination of 
      chaos synchronization of non-identical multi-fractional-order neural networks 
      with multi-time-delays (FONNSMD) and symmetric encryption. Symmetric encryption 
      is well known to be outstanding in speed and accuracy but less effective. 
      Therefore, to increase the strength of data protection effectively, we combine 
      both methods where the secret keys are generated from the third part of the 
      neural network systems (NNS) and used only once to encrypt and decrypt the 
      message. In addition, a fractional-order Lyapunov direct function (FOLDF) is 
      designed and implemented in sliding mode control systems (SMCS) to maintain the 
      convergence of approximated synchronization errors. Finally, three examples are 
      carried out to confirm the theoretical analysis and find which synchronization is 
      achieved. Then the result is combined with symmetric encryption to increase the 
      security of secure communication, and a numerical simulation verifies the 
      method's accuracy.
FAU - Abd Latiff, Fatin Nabila
AU  - Abd Latiff FN
AUID- ORCID: 0000-0001-9768-8291
AD  - Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala 
      Lumpur, Malaysia.
FAU - Mior Othman, Wan Ainun
AU  - Mior Othman WA
AUID- ORCID: 0000-0002-7758-5057
AD  - Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala 
      Lumpur, Malaysia.
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20220701
PL  - United States
TA  - PLoS One
JT  - PloS one
JID - 101285081
SB  - IM
MH  - Communication
MH  - Computer Simulation
MH  - Neural Networks, Computer
MH  - *Records
MH  - *Research
PMC - PMC9249245
COIS- The authors have declared that no competing interests exist.
EDAT- 2022/07/02 06:00
MHDA- 2022/07/08 06:00
PMCR- 2022/07/01
CRDT- 2022/07/01 13:52
PHST- 2022/04/26 00:00 [received]
PHST- 2022/06/09 00:00 [accepted]
PHST- 2022/07/01 13:52 [entrez]
PHST- 2022/07/02 06:00 [pubmed]
PHST- 2022/07/08 06:00 [medline]
PHST- 2022/07/01 00:00 [pmc-release]
AID - PONE-D-22-11404 [pii]
AID - 10.1371/journal.pone.0270402 [doi]
PST - epublish
SO  - PLoS One. 2022 Jul 1;17(7):e0270402. doi: 10.1371/journal.pone.0270402. 
      eCollection 2022.