General multi-steps variable-coefficient formulation for computing quasi-periodic solutions with multiple base frequencies

Key Points

• Quasi-periodic solutions identified through a new multi-steps formulation offer unique insights into dynamic systems.
• Key evidence reveals the method's efficiency in addressing multiple base frequencies in dynamic scenarios.
• Analysis employs variable-coefficient methods to advance the understanding of quasi-periodic behavior in complex systems.
• This approach may enable deeper analysis of dynamic systems, requiring further exploration of its potential applications.