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Asynchronous time integration for polynomial chaos expansion of uncertain periodic dynamics
1.  LIMSICNRS, UPR 3251, BP 133, Orsay F91403, France, France 
2.  Johns Hopkins University, Department of Mechanical Engineering, Baltimore, MD 21218, United States 
3.  Florida State University, Computational Science & Engineering – Department of Mathematics, Tallahassee, FL 323064510, United States 
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Valery A. Gaiko. The geometry of limit cycle bifurcations in polynomial dynamical systems. Conference Publications, 2011, 2011 (Special) : 447456. doi: 10.3934/proc.2011.2011.447 
[2] 
José Miguel Pasini, Tuhin Sahai. Polynomial chaos based uncertainty quantification in Hamiltonian, multitime scale, and chaotic systems. Journal of Computational Dynamics, 2014, 1 (2) : 357375. doi: 10.3934/jcd.2014.1.357 
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Jaume Llibre, Claudia Valls. Algebraic limit cycles for quadratic polynomial differential systems. Discrete and Continuous Dynamical Systems  B, 2018, 23 (6) : 24752485. doi: 10.3934/dcdsb.2018070 
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Jihua Yang, Liqin Zhao. Limit cycle bifurcations for piecewise smooth integrable differential systems. Discrete and Continuous Dynamical Systems  B, 2017, 22 (6) : 24172425. doi: 10.3934/dcdsb.2017123 
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Meilan Cai, Maoan Han. Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. Communications on Pure and Applied Analysis, 2021, 20 (1) : 5575. doi: 10.3934/cpaa.2020257 
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Marta Štefánková. Inheriting of chaos in uniformly convergent nonautonomous dynamical systems on the interval. Discrete and Continuous Dynamical Systems, 2016, 36 (6) : 34353443. doi: 10.3934/dcds.2016.36.3435 
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Hongyong Cui, Peter E. Kloeden, Meihua Yang. Forward omega limit sets of nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems  S, 2020, 13 (4) : 11031114. doi: 10.3934/dcdss.2020065 
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Armengol Gasull, Hector Giacomini. Upper bounds for the number of limit cycles of some planar polynomial differential systems. Discrete and Continuous Dynamical Systems, 2010, 27 (1) : 217229. doi: 10.3934/dcds.2010.27.217 
[13] 
Tao Li, Jaume Llibre. Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0. Communications on Pure and Applied Analysis, 2021, 20 (11) : 38873909. doi: 10.3934/cpaa.2021136 
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[17] 
Huanhuan Tian, Maoan Han. Limit cycle bifurcations of piecewise smooth nearHamiltonian systems with a switching curve. Discrete and Continuous Dynamical Systems  B, 2021, 26 (10) : 55815599. doi: 10.3934/dcdsb.2020368 
[18] 
Wenye Liu, Maoan Han. Limit cycle bifurcations of nearHamiltonian systems with multiple switching curves and applications. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022053 
[19] 
Yuan Chang, Yuzhen Bai. Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters. Communications on Pure and Applied Analysis, , () : . doi: 10.3934/cpaa.2022090 
[20] 
Jakub Šotola. Relationship between LiYorke chaos and positive topological sequence entropy in nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems, 2018, 38 (10) : 51195128. doi: 10.3934/dcds.2018225 
2020 Impact Factor: 1.392
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