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The Lorenz equation as a metaphor for the NavierStokes equations
Global structure of 2D incompressible flows
1.  Department of Mathematics, Sichuan University, Chengdu 
2.  Department of Mathematics, Indiana University, Bloomington, IN 47405 
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Mathias Staudigl. A limit theorem for Markov decision processes. Journal of Dynamics and Games, 2014, 1 (4) : 639659. doi: 10.3934/jdg.2014.1.639 
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JeanPierre Conze, Stéphane Le Borgne, Mikaël Roger. Central limit theorem for stationary products of toral automorphisms. Discrete and Continuous Dynamical Systems, 2012, 32 (5) : 15971626. doi: 10.3934/dcds.2012.32.1597 
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James Nolen. A central limit theorem for pulled fronts in a random medium. Networks and Heterogeneous Media, 2011, 6 (2) : 167194. doi: 10.3934/nhm.2011.6.167 
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Matthew Foreman, Benjamin Weiss. From odometers to circular systems: A global structure theorem. Journal of Modern Dynamics, 2019, 15: 345423. doi: 10.3934/jmd.2019024 
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Piotr Fijałkowski. A global inversion theorem for functions with singular points. Discrete and Continuous Dynamical Systems  B, 2018, 23 (1) : 173180. doi: 10.3934/dcdsb.2018011 
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Peter Giesl. Converse theorem on a global contraction metric for a periodic orbit. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 53395363. doi: 10.3934/dcds.2019218 
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Kazuhiro Ishige, Michinori Ishiwata. Global solutions for a semilinear heat equation in the exterior domain of a compact set. Discrete and Continuous Dynamical Systems, 2012, 32 (3) : 847865. doi: 10.3934/dcds.2012.32.847 
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Oliver DíazEspinosa, Rafael de la Llave. Renormalization and central limit theorem for critical dynamical systems with weak external noise. Journal of Modern Dynamics, 2007, 1 (3) : 477543. doi: 10.3934/jmd.2007.1.477 
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Shige Peng. Law of large numbers and central limit theorem under nonlinear expectations. Probability, Uncertainty and Quantitative Risk, 2019, 4 (0) : 4. doi: 10.1186/s4154601900382 
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Yves Derriennic. Some aspects of recent works on limit theorems in ergodic theory with special emphasis on the "central limit theorem''. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : 143158. doi: 10.3934/dcds.2006.15.143 
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KuoChih Hung, ShaoYuan Huang, ShinHwa Wang. A global bifurcation theorem for a positone multiparameter problem and its application. Discrete and Continuous Dynamical Systems, 2017, 37 (10) : 51275149. doi: 10.3934/dcds.2017222 
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Brock C. Price, Xiangsheng Xu. Global existence theorem for a model governing the motion of two cell populations. Kinetic and Related Models, 2020, 13 (6) : 11751191. doi: 10.3934/krm.2020042 
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Dariusz Idczak. A global implicit function theorem and its applications to functional equations. Discrete and Continuous Dynamical Systems  B, 2014, 19 (8) : 25492556. doi: 10.3934/dcdsb.2014.19.2549 
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Aylin Aydoğdu, Sean T. McQuade, Nastassia Pouradier Duteil. Opinion Dynamics on a General Compact Riemannian Manifold. Networks and Heterogeneous Media, 2017, 12 (3) : 489523. doi: 10.3934/nhm.2017021 
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Habibulla Akhadkulov, Akhtam Dzhalilov, Konstantin Khanin. Notes on a theorem of Katznelson and Ornstein. Discrete and Continuous Dynamical Systems, 2017, 37 (9) : 45874609. doi: 10.3934/dcds.2017197 
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Stefano Bianchini, Daniela Tonon. A decomposition theorem for $BV$ functions. Communications on Pure and Applied Analysis, 2011, 10 (6) : 15491566. doi: 10.3934/cpaa.2011.10.1549 
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Henk Broer, Konstantinos Efstathiou, Olga Lukina. A geometric fractional monodromy theorem. Discrete and Continuous Dynamical Systems  S, 2010, 3 (4) : 517532. doi: 10.3934/dcdss.2010.3.517 
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John Hubbard, Yulij Ilyashenko. A proof of Kolmogorov's theorem. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 367385. doi: 10.3934/dcds.2004.10.367 
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Rabah Amir, Igor V. Evstigneev. On Zermelo's theorem. Journal of Dynamics and Games, 2017, 4 (3) : 191194. doi: 10.3934/jdg.2017011 
[20] 
Cristina Stoica. An approximation theorem in classical mechanics. Journal of Geometric Mechanics, 2016, 8 (3) : 359374. doi: 10.3934/jgm.2016011 
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