Chaos analysis of high-dimensional fractional-order nonlinear systems: the extended Melnikov method

Key Points

• Chaos analysis identifies the dynamics of high-dimensional fractional-order systems effectively with the extended Melnikov method.
• The extended Melnikov method successfully predicts chaos across complex nonlinear systems, providing a robust framework for analysis.
• Analysis of high-dimensional fractional-order systems shows how these equations exhibit chaotic behaviors under specific conditions.
• This work supports further exploration of chaos theory in nonlinear systems, with implications for system stability and predictability.