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Tellus A: Dynamic Meteorology and Oceanography Volume 70, 2018 - Issue 1

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Research Article

On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop

B.-W. ShenDepartment of Mathematics and Statistics, San Diego State University, San Diego, CA, USACorrespondence[email protected] [email protected]
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Pages 1-18 | Received 22 Nov 2017, Accepted 16 Apr 2018, Published online: 01 Jun 2018

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https://doi.org/10.1080/16000870.2018.1471912
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Bo-Wen Shen, Roger A. PielkeSr.Sr. & Xubin Zeng. (2023) The 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models. Atmosphere 14:8, pages 1279.
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Bo-Wen Shen. (2023) A Review of Lorenz’s Models from 1960 to 2008. International Journal of Bifurcation and Chaos 33:10.
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Atefeh Ahmadi, Sriram Parthasarathy, Hayder Natiq, Karthikeyan Rajagopal, Guillermo Huerta-Cuellar & Sajad Jafari. (2023) Coexisting attractors and multi-stability within a Lorenz model with periodic heating function. Physica Scripta 98:5, pages 055219.
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Bo-Wen Shen, Roger PielkeSr.Sr., Xubin Zeng, Jialin Cui, Sara Faghih-Naini, Wei Paxson, Amit Kesarkar, Xiping Zeng & Robert Atlas. (2022) The Dual Nature of Chaos and Order in the Atmosphere. Atmosphere 13:11, pages 1892.
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Wei Paxson & Bo-Wen Shen. (2022) A KdV–SIR Equation and Its Analytical Solutions for Solitary Epidemic Waves. International Journal of Bifurcation and Chaos 32:13.
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Bo-Wen Shen, Roger A. PielkeSr.Sr. & Xubin Zeng. (2022) One Saddle Point and Two Types of Sensitivities within the Lorenz 1963 and 1969 Models. Atmosphere 13:5, pages 753.
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Jialin Cui & Bo-Wen Shen. (2021) A kernel principal component analysis of coexisting attractors within a generalized Lorenz model. Chaos, Solitons & Fractals 146, pages 110865.
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Bo-Wen Shen, Roger A. Pielke, Xubin Zeng, Jong-Jin Baik, Sara Faghih-Naini, Jialin Cui & Robert Atlas. (2021) Is Weather Chaotic?: Coexistence of Chaos and Order within a Generalized Lorenz Model. Bulletin of the American Meteorological Society 102:1, pages E148-E158.
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Bo-Wen Shen. 2021. 13th Chaotic Modeling and Simulation International Conference. 13th Chaotic Modeling and Simulation International Conference 827 851 .

Bo-Wen Shen, R. A. Pielke, X. Zeng, J.-J. Baik, S. Faghih-Naini, J. Cui, R. Atlas & T. A. L. Reyes. 2021. 13th Chaotic Modeling and Simulation International Conference. 13th Chaotic Modeling and Simulation International Conference 805 825 .

Bo-Wen Shen. (2020) Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation. International Journal of Bifurcation and Chaos 30:14, pages 2050257.
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Tiffany Reyes & Bo-Wen Shen. (2019) A recurrence analysis of chaotic and non-chaotic solutions within a generalized nine-dimensional Lorenz model. Chaos, Solitons & Fractals 125, pages 1-12.
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Shen. (2019) On the Predictability of 30-Day Global Mesoscale Simulations of African Easterly Waves during Summer 2006: A View with the Generalized Lorenz Model. Geosciences 9:7, pages 281.
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Bo-Wen Shen. (2019) Aggregated Negative Feedback in a Generalized Lorenz Model. International Journal of Bifurcation and Chaos 29:03, pages 1950037.
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B.-W. Shen, T. Reyes & S. Faghih-Naini. 2019. 11th Chaotic Modeling and Simulation International Conference. 11th Chaotic Modeling and Simulation International Conference 239 255 .

Sara Faghih-Naini & Bo-Wen Shen. (2018) Quasi-Periodic Orbits in the Five-Dimensional Nondissipative Lorenz Model: The Role of the Extended Nonlinear Feedback Loop. International Journal of Bifurcation and Chaos 28:06, pages 1850072.
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On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop

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On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop

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