Chaotification of Sine-series maps based on the internal perturbation model

• Published in: Results in physics Vol. 31; p. 105010
• Main Authors: Dong, Chunyi, Rajagopal, Karthikeyan, He, Shaobo, Jafari, Sajad, Sun, Kehui
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-12-2021; Elsevier
• Subjects: Chaos; Chaotification; Complexity; Discrete map; Perturbation; Chaos; Perturbation; Discrete map; Chaotification; Complexity
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.105010

In this paper, a chaotification method based on the internal perturbation model (IPM) is proposed. The single-perturbation and the multiple-perturbations are introduced. The Sine map is taken as an example. Moreover, this method can be generalized to high-dimensional maps that contain sine, no matter where the sine term is in the system equation. we further apply IPM to an integer-order and a fractional-order Sine-series map. For those new maps, the parameter space and FuzzyEn complexity are significantly extended while maintaining the topological structure of system. These complex behaviors and digital signal processing (DSP) implementation validate the effectiveness of IPM and make it have the potential of better secure communication and encryption.
•The internal perturbation model (IPM) is introduced to achieve chaotification.•IPM is applied to Sine map and two Sine series maps with integer-order and fractional-order.•Complex dynamics including higher complexity without changing the structure of system are analyzed.