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Self-Distinguishing and Solving Mixed Periodicity and Quasi-Periodicity for Strong Nonlinear Frequency Mixing Systems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Toward Analytical Chaos in Nonlinear Systems
inferredcites →https://doi.org/10.1002/nme.1632openalex-extracted
Fourier methods for quasi‐periodic oscillations
inferredcites →https://doi.org/10.1006/jsvi.1996.0648openalex-extracted
THE COEXISTENCE OF PERIODIC, ALMOST-PERIODIC AND CHAOTIC ATTRACTORS IN THE VAN DER POL-DUFFING OSCILLATOR
inferredcites →https://doi.org/10.1007/978-3-030-14023-6openalex-extracted
Harmonic Balance for Nonlinear Vibration Problems
inferredcites →https://doi.org/10.1007/bf02457955openalex-extracted
Homotopy analysis method: A new analytic method for nonlinear problems
inferredcites →https://doi.org/10.1007/s11071-014-1606-8openalex-extracted
Quasi-periodic harmonic balance method for rubbing self-induced vibrations in rotor–stator dynamics
inferredcites →https://doi.org/10.1007/s11071-015-2015-3openalex-extracted
The solution structure of the Düffing oscillator’s transient response and general solution
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The continuation and stability analysis methods for quasi-periodic solutions of nonlinear systems
inferredcites →https://doi.org/10.1007/s11071-022-08029-7openalex-extracted
Frequency combs in a MEMS resonator featuring 1:2 internal resonance: ab initio reduced order modelling and experimental validation
inferredcites →https://doi.org/10.1007/s11075-017-0420-zopenalex-extracted
On the limit cycles, period-doubling, and quasi-periodic solutions of the forced Van der Pol-Duffing oscillator
inferredcites →https://doi.org/10.1016/0375-9601(94)90244-5openalex-extracted
Neimark bifurcation, almost-periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2021.103767openalex-extracted
An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation
inferredcites →https://doi.org/10.1016/j.jsv.2010.04.008openalex-extracted
An adaptive harmonic balance method for predicting the nonlinear dynamic responses of mechanical systems—Application to bolted structures
inferredcites →https://doi.org/10.1016/j.jsv.2016.12.013openalex-extracted
Continuation of quasi-periodic solutions with two-frequency Harmonic Balance Method
inferredcites →https://doi.org/10.1016/j.ymssp.2012.01.024openalex-extracted
On a new harmonic selection technique for harmonic balance method
inferredcites →https://doi.org/10.1016/j.ymssp.2015.04.022openalex-extracted
A variable-coefficient harmonic balance method for the prediction of quasi-periodic response in nonlinear systems
inferredcites →https://doi.org/10.1016/j.ymssp.2019.106503openalex-extracted
Comparison of two algorithms for Harmonic Balance and path continuation
inferredcites →https://doi.org/10.1016/j.ymssp.2022.108818openalex-extracted
Time-domain minimum residual method combined with energy balance for nonlinear conservative systems
inferredcites →https://doi.org/10.1016/j.ymssp.2022.109929openalex-extracted
A comparative study on multi- and variable-coefficient harmonic balance methods for quasi-periodic solutions
inferredcites →https://doi.org/10.1038/s41467-023-36953-8openalex-extracted
Mechanical overtone frequency combs
inferredcites →https://doi.org/10.1038/s42005-019-0249-yopenalex-extracted
20 years of developments in optical frequency comb technology and applications
inferredcites →https://doi.org/10.1088/0031-8949/89/7/075202openalex-extracted
A new analytical approach for limit cycles and quasi-periodic solutions of nonlinear oscillators: the example of the forced Van der Pol Duffing oscillator
inferredcites →https://doi.org/10.1103/physrevapplied.19.014031openalex-extracted
Generation and Evolution of Phononic Frequency Combs via Coherent Energy Transfer between Mechanical Modes
inferredcites →https://doi.org/10.1103/physrevlett.112.075505openalex-extracted
Phononic Frequency Combs through Nonlinear Resonances
inferredcites →https://doi.org/10.1103/physrevlett.118.033903openalex-extracted
Phononic Frequency Comb via Intrinsic Three-Wave Mixing
inferredcites →https://doi.org/10.1103/revmodphys.64.795openalex-extracted
Symplectic maps, variational principles, and transport
inferredcites →https://doi.org/10.1109/jmems.2016.2607118openalex-extracted
18-MHz Silicon Lamé Mode Resonators With Corner and Central Anchor Architectures in a Dual-Wafer SOI Technology
inferredcites →https://doi.org/10.1109/tcs.1981.1084921openalex-extracted
Algorithms for computing almost periodic steady-state response of nonlinear systems to multiple input frequencies
inferredcites →https://doi.org/10.1115/1.4005823openalex-extracted
Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis
inferredcites →https://doi.org/10.1115/1.4052573openalex-extracted
A Modified Incremental Harmonic Balance Method Combined with Tikhonov Regularization for Periodic Motion of Nonlinear System
inferredcites →https://doi.org/10.1140/epjst/e2019-800241-yopenalex-extracted
Frequency-amplitude characteristics of periodic motions in a periodically forced van der Pol oscillator
inferredcites →https://doi.org/10.1142/8939openalex-extracted
Advances in the Homotopy Analysis Method
inferredcites →https://doi.org/10.1002/9781118883938openalex-snapshot
Analytical Routes to Chaos in Nonlinear Engineering
What points at this work
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inferred← citeshttps://doi.org/10.1016/j.cnsns.2024.108233openalex-snapshot
Strong nonlinear mixing evolutions within phononic frequency combs
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