Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Even for structural modes with broadband frequencies, nonlinear energy interactions can still occur in nonlinear dynamical systems due to single or multiple internal resonances.
“However, even for structural modes with broadband frequencies, the nonlinear energy interactions can still occur in nonlinear dynamical systems due to single or multiple internal resonances [44][45][46][47].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [45]
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- Authors
- Guckenheimer, J., & Holmes, P.
- Affiliations
- Cornell University (US)
- Princeton University (US)
- Venue
- Applied Mathematical Sciences
- Publisher
- Springer New York
- Published
- 1983
- ISSN
- 0066-5452 (ISSN-L)
- 2196-968X
- OpenAlex
- W2089876099
- Cited by
- 16,144
- References
- 0
- Citations by year
- 2026: 224 · 2025: 345 · 2024: 336 · 2023: 288 · 2022: 340 · 2021: 478 · 2020: 386 · 2019: 392 · 2018: 382 · 2017: 402 · 2016: 427 · 2015: 438 · 2014: 485 · 2013: 489 · 2012: 555
- FWCI
- 67.61
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Applied mathematical sciences (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Vibration and Dynamic Analysis
- Physical Sciences › Engineering › Control and Systems Engineering › Control and Stability of Dynamical Systems
- Keywords
- nonlinear oscillations, dynamical systems, bifurcation theory, vector fields, ordinary differential equations, stability theory
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