Spectral submanifold (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Spectral submanifold" in English language version.

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8doi.org

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4semanticscholar.org

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3arxiv.org

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3harvard.edu

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2handle.net

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2nih.gov

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1springer.com

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1zenodo.org

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1github.com

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1sustech.edu.cn

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1researchgate.net

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1sciencedirect.com

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arxiv.org

Haller, George; Ponsioen, Sten (2016). "Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction". Nonlinear Dynamics. 86 (3): 1493–1534. arXiv:1602.00560. doi:10.1007/s11071-016-2974-z. S2CID 44074026.
Ponsioen, Sten; Pedergnana, Tiemo; Haller, George (2018). "Automated computation of autonomous spectral submanifolds for nonlinear modal analysis". Journal of Sound and Vibration. 420: 269–295. arXiv:1709.00886. Bibcode:2018JSV...420..269P. doi:10.1016/j.jsv.2018.01.048. S2CID 44186335.
Cenedese, Mattia; Axås, Joar; Bäuerlein, Bastian; Avila, Kerstin; Haller, George (2022). "Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds". Nature Communications. 13 (1): 872. arXiv:2201.04976. Bibcode:2022NatCo..13..872C. doi:10.1038/s41467-022-28518-y. PMC 8847615. PMID 35169152.

doi.org

Jain, Shobhit; Haller, George (2022). "How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models". Nonlinear Dynamics. 107 (2): 1417–1450. doi:10.1007/s11071-021-06957-4. hdl:20.500.11850/519249. S2CID 232269982.
Haller, George; Ponsioen, Sten (2016). "Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction". Nonlinear Dynamics. 86 (3): 1493–1534. arXiv:1602.00560. doi:10.1007/s11071-016-2974-z. S2CID 44074026.
Jain, Shobhit; Li, Mingwu; Thurnher, Thomas; Haller, George (2024-10-09), SSMTool 2.6: Computation of invariant manifolds in high-dimensional mechanics problems, [object Object], doi:10.5281/zenodo.13909795, retrieved 2024-11-12
Cabré, P.; Fontich, E.; de la Llave, R. (2003). "The parametrization method for invariant manifolds I: manifolds associated to non-resonant spectral subspaces". Indiana Univ. Math. J. 52: 283–328. doi:10.1512/iumj.2003.52.2245. hdl:2117/876.
Haro, A.; de la Llave, R. (2006). "A parameterisation method for the computation of invariant tori and their whiskers in quasiperiodic maps: Rigorous results". Differ. Equ. 228 (2): 530–579. Bibcode:2006JDE...228..530H. doi:10.1016/j.jde.2005.10.005.
Rega, Giuseppe; Troger, Hans (2005). "Dimension Reduction of Dynamical Systems: Methods, Models, Applications". Nonlinear Dynamics. 41 (1–3): 1–15. doi:10.1007/s11071-005-2790-3. S2CID 14728580.
Ponsioen, Sten; Pedergnana, Tiemo; Haller, George (2018). "Automated computation of autonomous spectral submanifolds for nonlinear modal analysis". Journal of Sound and Vibration. 420: 269–295. arXiv:1709.00886. Bibcode:2018JSV...420..269P. doi:10.1016/j.jsv.2018.01.048. S2CID 44186335.
Cenedese, Mattia; Axås, Joar; Bäuerlein, Bastian; Avila, Kerstin; Haller, George (2022). "Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds". Nature Communications. 13 (1): 872. arXiv:2201.04976. Bibcode:2022NatCo..13..872C. doi:10.1038/s41467-022-28518-y. PMC 8847615. PMID 35169152.

github.com

haller-group/SSMLearn, Haller Group, Nonlinear Dynamics, 2024-11-12, retrieved 2024-11-12

handle.net

hdl.handle.net

Jain, Shobhit; Haller, George (2022). "How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models". Nonlinear Dynamics. 107 (2): 1417–1450. doi:10.1007/s11071-021-06957-4. hdl:20.500.11850/519249. S2CID 232269982.
Cabré, P.; Fontich, E.; de la Llave, R. (2003). "The parametrization method for invariant manifolds I: manifolds associated to non-resonant spectral subspaces". Indiana Univ. Math. J. 52: 283–328. doi:10.1512/iumj.2003.52.2245. hdl:2117/876.

harvard.edu

ui.adsabs.harvard.edu

Haro, A.; de la Llave, R. (2006). "A parameterisation method for the computation of invariant tori and their whiskers in quasiperiodic maps: Rigorous results". Differ. Equ. 228 (2): 530–579. Bibcode:2006JDE...228..530H. doi:10.1016/j.jde.2005.10.005.
Ponsioen, Sten; Pedergnana, Tiemo; Haller, George (2018). "Automated computation of autonomous spectral submanifolds for nonlinear modal analysis". Journal of Sound and Vibration. 420: 269–295. arXiv:1709.00886. Bibcode:2018JSV...420..269P. doi:10.1016/j.jsv.2018.01.048. S2CID 44186335.
Cenedese, Mattia; Axås, Joar; Bäuerlein, Bastian; Avila, Kerstin; Haller, George (2022). "Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds". Nature Communications. 13 (1): 872. arXiv:2201.04976. Bibcode:2022NatCo..13..872C. doi:10.1038/s41467-022-28518-y. PMC 8847615. PMID 35169152.

nih.gov

ncbi.nlm.nih.gov

Cenedese, Mattia; Axås, Joar; Bäuerlein, Bastian; Avila, Kerstin; Haller, George (2022). "Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds". Nature Communications. 13 (1): 872. arXiv:2201.04976. Bibcode:2022NatCo..13..872C. doi:10.1038/s41467-022-28518-y. PMC 8847615. PMID 35169152.

pubmed.ncbi.nlm.nih.gov

Cenedese, Mattia; Axås, Joar; Bäuerlein, Bastian; Avila, Kerstin; Haller, George (2022). "Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds". Nature Communications. 13 (1): 872. arXiv:2201.04976. Bibcode:2022NatCo..13..872C. doi:10.1038/s41467-022-28518-y. PMC 8847615. PMID 35169152.

researchgate.net

Rega, Giuseppe; Troger, Hans (2005). "Dimension Reduction of Dynamical Systems: Methods, Models, Applications". Nonlinear Dynamics. 41 (1–3): 1–15. doi:10.1007/s11071-005-2790-3. S2CID 14728580.

sciencedirect.com

Ponsioen, Sten; Pedergnana, Tiemo; Haller, George (2018). "Automated computation of autonomous spectral submanifolds for nonlinear modal analysis". Journal of Sound and Vibration. 420: 269–295. arXiv:1709.00886. Bibcode:2018JSV...420..269P. doi:10.1016/j.jsv.2018.01.048. S2CID 44186335.

semanticscholar.org

api.semanticscholar.org

Jain, Shobhit; Haller, George (2022). "How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models". Nonlinear Dynamics. 107 (2): 1417–1450. doi:10.1007/s11071-021-06957-4. hdl:20.500.11850/519249. S2CID 232269982.
Haller, George; Ponsioen, Sten (2016). "Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction". Nonlinear Dynamics. 86 (3): 1493–1534. arXiv:1602.00560. doi:10.1007/s11071-016-2974-z. S2CID 44074026.
Rega, Giuseppe; Troger, Hans (2005). "Dimension Reduction of Dynamical Systems: Methods, Models, Applications". Nonlinear Dynamics. 41 (1–3): 1–15. doi:10.1007/s11071-005-2790-3. S2CID 14728580.
Ponsioen, Sten; Pedergnana, Tiemo; Haller, George (2018). "Automated computation of autonomous spectral submanifolds for nonlinear modal analysis". Journal of Sound and Vibration. 420: 269–295. arXiv:1709.00886. Bibcode:2018JSV...420..269P. doi:10.1016/j.jsv.2018.01.048. S2CID 44186335.

springer.com

link.springer.com

Haller, George; Ponsioen, Sten (2016). "Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction". Nonlinear Dynamics. 86 (3): 1493–1534. arXiv:1602.00560. doi:10.1007/s11071-016-2974-z. S2CID 44074026.

sustech.edu.cn

ssmtool.mae.sustech.edu.cn

"SSMTool". ssmtool.mae.sustech.edu.cn. Retrieved 2024-11-12.

zenodo.org

Jain, Shobhit; Li, Mingwu; Thurnher, Thomas; Haller, George (2024-10-09), SSMTool 2.6: Computation of invariant manifolds in high-dimensional mechanics problems, [object Object], doi:10.5281/zenodo.13909795, retrieved 2024-11-12