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Limit cycle convergence leads to period-doubling and cyclic-fold bifurcation in internal resonance-induced mechanical frequency combs

Jiahao Wu, Penghui Song, Shuke Zang, Lei Li, Wenming Zhang, Lei Shao

2025Nonlinear Dynamics6 citationsDOI

Topics & Concepts

Period-doubling bifurcationBifurcationLimit (mathematics)Limit cycleMathematicsResonance (particle physics)Convergence (economics)Mathematical analysisFold (higher-order function)PhysicsControl theory (sociology)Nonlinear systemEngineeringComputer scienceQuantum mechanicsEconomic growthEconomicsMechanical engineeringArtificial intelligenceControl (management)Advanced Fiber Laser TechnologiesMechanical and Optical ResonatorsForce Microscopy Techniques and Applications
Limit cycle convergence leads to period-doubling and cyclic-fold bifurcation in internal resonance-induced mechanical frequency combs | Litcius