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Complex Oscillations and Chaos in Electrostatic Microelectromechanical Systems under Superharmonic Excitations
Abstract
In this Letter, the formation of complex oscillations of the type 2n M oscillations per period at the Mth superharmonic excitation is reported for electrostatic microelectromechanical systems. A dc bias (beyond "dc symmetry breaking") and an ac signal (at the Mth superharmonic frequency) with an amplitude around "ac symmetry breaking" gives rise to M oscillations per period or period M response. On increasing the ac voltage, a cascade of period doubling bifurcations take place giving rise to 2n M oscillations per period. An interesting chaotic transition (1-band and 2-band chaos) is observed during the first period doubling bifurcation. The nonlinear nature of the electrostatic force is shown to be responsible for the reported observations.
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OSAQSs have a certain amount of intrinsic robustness and built-in error correction due to the purely dissipative nature of the process, particularly clear for the OSAQS of quantum kinetic Ising models or Kitaev's toric code.
“But, again due to the purely dissipative nature of the process, this type of simulation has a certain amount of intrinsic robustness and built-in 'error correction' - this is particularly clear for the OSAQS of quantum kinetic Ising models or Kitaev's toric code [173].”
From Can one trust quantum simulators? (2012) · cites this paper as [173]
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Metadata
- Authors
- De, S. K., & Aluru, N. R.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-05-26
- Volume
- 94
- Issue
- 20
- Pages
- 204101-204101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2080045821
- Cited by
- 60
- References
- 12
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 1 · 2023: 2 · 2022: 2 · 2020: 2 · 2019: 3 · 2018: 2 · 2017: 2 · 2016: 3 · 2015: 3 · 2014: 3 · 2013: 3 · 2012: 3
- FWCI
- 3.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced MEMS and NEMS Technologies
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Engineering › Mechanical Engineering › Vibration and Dynamic Analysis
- Keywords
- complex oscillations, chaos, period-doubling bifurcation, DC bias, nonlinear electrostatic force, MEMS resonators
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