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Operator splitting method for friction constrained dynamical systems
1.  Department of Mathematics, University of HoustonClear Lake, Houston, TX 77058, United States 
2.  University of Houston, Department of Mathematics, 4800 Calhoun Rd, Houston, Texas 77204  3008, United States 
[1] 
Matthias Morzfeld, Daniel T. Kawano, Fai Ma. Characterization of damped linear dynamical systems in free motion. Numerical Algebra, Control & Optimization, 2013, 3 (1) : 4962. doi: 10.3934/naco.2013.3.49 
[2] 
Kening Lu, Alexandra Neamţu, Björn Schmalfuss. On the Oseledetssplitting for infinitedimensional random dynamical systems. Discrete & Continuous Dynamical Systems  B, 2018, 23 (3) : 12191242. doi: 10.3934/dcdsb.2018149 
[3] 
Yong Xu, Rong Guo, Di Liu, Huiqing Zhang, Jinqiao Duan. Stochastic averaging principle for dynamical systems with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 11971212. doi: 10.3934/dcdsb.2014.19.1197 
[4] 
Yong Xu, Bin Pei, Rong Guo. Stochastic averaging for slowfast dynamical systems with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 22572267. doi: 10.3934/dcdsb.2015.20.2257 
[5] 
Amir Adibzadeh, Mohsen Zamani, Amir A. Suratgar, Mohammad B. Menhaj. Constrained optimal consensus in dynamical networks. Numerical Algebra, Control & Optimization, 2019, 9 (3) : 349360. doi: 10.3934/naco.2019023 
[6] 
María J. Garrido–Atienza, Kening Lu, Björn Schmalfuss. Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 473493. doi: 10.3934/dcdsb.2010.14.473 
[7] 
El Houcein El Abdalaoui, Sylvain Bonnot, Ali Messaoudi, Olivier Sester. On the Fibonacci complex dynamical systems. Discrete & Continuous Dynamical Systems  A, 2016, 36 (5) : 24492471. doi: 10.3934/dcds.2016.36.2449 
[8] 
Lianfa He, Hongwen Zheng, Yujun Zhu. Shadowing in random dynamical systems. Discrete & Continuous Dynamical Systems  A, 2005, 12 (2) : 355362. doi: 10.3934/dcds.2005.12.355 
[9] 
Fritz Colonius, Marco Spadini. Fundamental semigroups for dynamical systems. Discrete & Continuous Dynamical Systems  A, 2006, 14 (3) : 447463. doi: 10.3934/dcds.2006.14.447 
[10] 
John Erik Fornæss. Sustainable dynamical systems. Discrete & Continuous Dynamical Systems  A, 2003, 9 (6) : 13611386. doi: 10.3934/dcds.2003.9.1361 
[11] 
Vieri Benci, C. Bonanno, Stefano Galatolo, G. Menconi, M. Virgilio. Dynamical systems and computable information. Discrete & Continuous Dynamical Systems  B, 2004, 4 (4) : 935960. doi: 10.3934/dcdsb.2004.4.935 
[12] 
Mădălina Roxana Buneci. Morphisms of discrete dynamical systems. Discrete & Continuous Dynamical Systems  A, 2011, 29 (1) : 91107. doi: 10.3934/dcds.2011.29.91 
[13] 
Philippe Marie, Jérôme Rousseau. Recurrence for random dynamical systems. Discrete & Continuous Dynamical Systems  A, 2011, 30 (1) : 116. doi: 10.3934/dcds.2011.30.1 
[14] 
Tobias Wichtrey. Harmonic limits of dynamical systems. Conference Publications, 2011, 2011 (Special) : 14321439. doi: 10.3934/proc.2011.2011.1432 
[15] 
Josiney A. Souza, Tiago A. Pacifico, Hélio V. M. Tozatti. A note on parallelizable dynamical systems. Electronic Research Announcements, 2017, 24: 6467. doi: 10.3934/era.2017.24.007 
[16] 
Yejuan Wang, Chengkui Zhong, Shengfan Zhou. Pullback attractors of nonautonomous dynamical systems. Discrete & Continuous Dynamical Systems  A, 2006, 16 (3) : 587614. doi: 10.3934/dcds.2006.16.587 
[17] 
Alexander Sakhnovich. Dynamical canonical systems and their explicit solutions. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 16791689. doi: 10.3934/dcds.2017069 
[18] 
Jérôme Rousseau, Paulo Varandas, Yun Zhao. Entropy formulas for dynamical systems with mistakes. Discrete & Continuous Dynamical Systems  A, 2012, 32 (12) : 43914407. doi: 10.3934/dcds.2012.32.4391 
[19] 
Bernd Aulbach, Martin Rasmussen, Stefan Siegmund. Approximation of attractors of nonautonomous dynamical systems. Discrete & Continuous Dynamical Systems  B, 2005, 5 (2) : 215238. doi: 10.3934/dcdsb.2005.5.215 
[20] 
Yujun Zhu. Preimage entropy for random dynamical systems. Discrete & Continuous Dynamical Systems  A, 2007, 18 (4) : 829851. doi: 10.3934/dcds.2007.18.829 
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