Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 28, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127418500207
Keywords
Chaos; spatiotemporal; delay logistic map; fractional order
Funding
- National Natural Science Foundation of China [61672124, 61370145, 61173183]
- Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund [MMJJ20170203]
- Program for New Century Excellent Talents in Fujian Province University
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We investigate the spatiotemporal dynamics with fractional order differential logistic map with delay under nonlinear chaotic maps for spatial coupling connections. Here, the coupling methods between lattices are the nonlinear chaotic map coupling of lattices. The fractional order differential logistic map with delay breaks the limits of the range of parameter mu epsilon [3.75, 4] in the classical logistic map for chaotic states. The Kolmogorov-Sinai entropy density and universality, and bifurcation diagrams are employed to investigate the chaotic behaviors of the proposed model in this paper. The proposed model can also be applied for cryptography, which is verified in a color image encryption scheme in this paper.
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