Journal
NONLINEAR DYNAMICS
Volume 89, Issue 4, Pages 2521-2532Publisher
SPRINGER
DOI: 10.1007/s11071-017-3601-3
Keywords
Hyperchaotic; Sine map; ICMIC; Lyapunov exponents; Permutation entropy
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Funding
- National Natural Science Foundation of China [61161006, 61573383]
- Central South University [2016zzts230]
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Derived from Sine map and an iterative chaotic map with infinite collapse (ICMIC), a new high-dimensional hyperchaotic map, sinusoidal feedback Sine ICMIC modulation map (SF-SIMM), is proposed. Two-dimensional (2D) model of SF-SIMM is investigated as an example, and its chaotic performances are evaluated. Results show that it has complicated phase space trajectory, infinite equilibrium points, hyperchaotic behaviors, rather large maximum Lyapunov exponent, three typical bifurcations and multiple coexisting attractors with odd symmetry. Furthermore, it has advantages in complexity, distribution characteristics and zero correlation and can generate two independent pseudo-random sequences simultaneously. Therefore, it has good application prospects in secure communication.
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