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第32届中国控制与决策会议

作者： Zhongtang Chen Li Zheng Changchun Sun Shenyang Jianzhu University

A three-dimensional quadratic polynomial system with no equilibrium point and no linear term is derived in this paper.A new chaotic attractor can be generated from the ***,the existence of chaos is verified by calculating three Lyapunov *** behaviors of the system are analyzed in *** system does not have any equilibrium *** attractor generated from the system belongs to one of hidden *** diagrams of states are depicted respectively with the variation of two parameters.A problem on control of the polynomial system is investigated by employing constant control and state *** polynomial system with double symmetrical parameters is reported further.

关键词： Polynomial System Equilibrium Point linear term Hidden Attractor State Feedback

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The Persistence and Zonal Scale of Atmospheric Dipolar Modes

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Advances in Atmospheric Sciences 2024年第3期41卷 478-492页

作者： Jie SONG State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics(LASG) Institute of Atmospheric Physics(IAP)Chinese Academy of SciencesBeijing 100029China

This study investigates the relationship between the persistence and the zonal scale of atmospheric dipolar modes(DMs). Results from the daily data of ERA5 and the long-term output of an idealized atmospheric model show that the atmospheric DMs with a broader(narrower) zonal scale dipolar structure possess a longer(shorter) persistence. A detailed vorticity budget analysis indicates that the persistence of a hemispheric-scale DM(1/1 DM) and a regional or sectoral DM(1/8 DM) in the model both largely rely on the persistence of the nonlinear eddy forcing. linear terms can indirectly reduce the persistence of the anomalous nonlinear eddy forcing in a 1/8 DM by modifying the baroclinicity via the arousal of anomalous vertical motions. Therefore, the atmospheric DMs with a broader(narrower) zonal scale possess a longer(shorter) persistence because the effects of the linear terms are less(more) pronounced when the atmospheric DMs have better(worse) zonal symmetry. Further analyses show that the positive eddy feedback effect is weak or even absent in a 1/8DM and the high-frequency eddy forcing acts more like a concomitant phenomenon rather than a leading driving factor for a 1/8 DM. Thus, the hemispheric-scale DM and the regional or sectoral DMs are different, not only in their persistence but also in their dynamics.

关键词： NAM NAO eddy feedback persistence linear term

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