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A universal method of chaos cascade and its applications
Fang Yuan1, Yuxia Li1, Guangyi Wang2
1College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.
Chaos (Woodbury, N.Y.)
|March 3, 2021
Summary
This study presents a universal method for creating cascade chaotic systems (CCSs) with enhanced performance. These novel systems demonstrate improved chaos properties and robustness, validated through hardware implementation and NIST testing.
Area of Science:
- Complex Systems
- Chaos Theory
- Cryptography
Background:
- Cascade chaotic systems (CCSs) offer improved performance over single systems.
- Previous work focused on chaos-cascade theorems for discrete systems with the same domain.
Purpose of the Study:
- To propose a universal method for constructing CCSs from arbitrary discrete chaotic systems.
- To explore the inheritance and enhancement of robustness in CCSs.
- To implement and validate a designed CCS.
Main Methods:
- Developing a universal normalization method for discrete chaotic systems.
- Designing and implementing a cascade chaotic system on a field-programmable gate array (FPGA).
- Testing generated chaotic sequences using an oscilloscope and NIST software.
Main Results:
- The universal method enables the construction of CCSs from diverse discrete chaotic systems.
- The study demonstrates the inheritance and enhancement of robustness in CCSs.
- Hardware implementation and NIST testing confirm the effectiveness of the designed CCS.
Conclusions:
- The proposed universal method effectively constructs robust cascade chaotic systems.
- CCSs exhibit enhanced chaotic properties and robustness, suitable for various applications.
- The practical implementation validates the theoretical advancements in chaos-cascade system design.
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