Manuscript Topics

Chaos is a universal physical phenomenon in nature and the engineering world and is also one of the core research contents of nonlinear science. The hallmark of the deterministic chaotic systems is their extreme sensitivity to initial conditions determined by a positive Lyapunov exponent. This striking feature has shown immense applications in diverse fields of science and engineering, such as cybersecurity, control, circuit theory, biology, chemistry, economics, optimization, neural networks, and so forth. Although the chaotic systems have been known for many years, the research and open problems have no end. Hidden attractors, extreme multi-stability, conservative chaotic systems, nonuniform divergence in chaotic attractors, micro-chaos, and nonchaotic strange attractors are some of the issues that need to be investigated. In addition, chaotic systems of fractional order are considered the intersection of the mathematical tool of fractional calculus and the mathematical branch of chaos theory. In this area, various open problems like discovering chaos in continuous-time dynamical systems with a lower number of pseudo-state variables and finding the minimum dimension for the occurrence of chaos are necessary.  
With the advent of Industry 5.0, chaotic systems are of particular interest for applications in secure communication, multimedia information encryption, privacy protection of sensitive information, authentication protocols, and so forth. Also, research papers on discovering new chaotic phenomena, constructing new chaotic systems, and proposing new applications of chaos are also very popular. Even engineers can use chaos control techniques to stabilize chaotic systems and enhance overall performance. This capability has applications in various domains, including robotics, power grids, and chemical processes. From a numerical aspect point of view, optimized simulation tools are still needed to compute the time series and chaos metrics for exploring the design space to find hidden attractors or consider the whole memory contributions of fractional operators while simultaneously reducing the computational effort.  
In conclusion, potential topics include, but are not limited to, the following:

• Chaos in neural networks  
• Data-driven AI for chaos prediction  
• Fractional-order chaos  
• Order memory in variable-order chaotic systems  
• Hidden attractors  
• Chaotization techniques  
• Chaotic maps  
• Time-delayed chaotic systems  
• Chaotic systems with non-uniform divergence  
• Micro-chaos  
• Optimized numerical tools for chaos prediction  
• Multi-scroll attractors generation  
• Memristors and chaos  
• Chaos-based cybersecurity  
• FGPA-based implementations  
• Chaotic oscillators  
• Applications based on chaos

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