A dual principle for symmetric periodic solutions bi-stability in noninterdigitated comb-drive MEMS
DOI10.3934/DCDSB.2024014zbMATH Open1547.3406MaRDI QIDQ6568805
Publication date: 8 July 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Nonautonomous smooth dynamical systems (37C60)
Cites Work
- Symmetric periodic solutions in the Sitnikov problem
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- Period function for a class of Hamiltonian systems
- Odd periodic oscillations in Comb-drive finger actuators
- Existence of periodic solutions for the generalized form of Mathieu equation
- On the Families of Periodic Orbits of the Sitnikov Problem
- A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem
- On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem
- Subharmonic solutions of second order nonlinear equations: a time-map approach
- On a bi-stability regime and the existence of odd subharmonics in a comb-drive MEMS model with cubic stiffness
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