Effects of Different Fast Periodic Excitations on the Pitchfork Bifurcation and Vibrational Resonance

DOI10.1142/S0218127420500923zbMath1473.70054MaRDI QIDQ5114611

Jianhua Yang, Zhencai Zhu, Jiaqi Zhang, Gang Shen, Miguel A. F. Sanjuán

Publication date: 24 June 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

pitchfork bifurcationvibrational resonancefast periodic excitationoverdamped bistable system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Logical vibrational resonance in a symmetric bistable system: numerical and experimental studies

Cites Work

• Vibrational resonance in biological nonlinear maps
• Conjugate resonances and bifurcations in nonlinear systems under biharmonical excitation
• Experimental investigation of a buckled beam under high-frequency excitation
• Singularities and groups in bifurcation theory. Volume I
• Bifurcation control of a parametrically excited Duffing system
• Vibrational resonance
• Vibrational resonance in Duffing systems with fractional-order damping
• Role of depth and location of minima of a double-well potential on vibrational resonance
• Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity

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