scholarly journals Recent development in rigorous computational methods in dynamical systems

2009 ◽  
Vol 26 (2-3) ◽  
pp. 393-417 ◽  
Author(s):  
Zin Arai ◽  
Hiroshi Kokubu ◽  
Paweł Pilarczyk
Keyword(s):  
Dynamical Systems ◽  
Computational Methods

scholarly journals Introduction. Turbulence transition in pipe flow: 125th anniversary of the publication of Reynolds' paper

2008 ◽  
Vol 367 (1888) ◽  
pp. 449-455 ◽  
Author(s):  
Bruno Eckhardt
Keyword(s):  
Dynamical Systems ◽  
Computational Methods ◽  
Pipe Flow ◽  
Transition To Turbulence ◽  
Turbulence Transition ◽  
Quantitative Characteristics ◽  
125Th Anniversary

The 125th anniversary of Osborne Reynolds' seminal publication on the transition to turbulence in pipe flow offers an opportunity to survey our understanding of the nature of the transition. Dynamical systems concepts, computational methods and dedicated experiments have helped to elucidate some of Reynolds' observations and to extract new quantitative characteristics of the transition. This introduction summarizes some of the developments and indicates how the various papers in this volume contribute to an improved understanding of Reynolds' observations.

scholarly journals Computational methods for nonlinear dynamical systems

2017 ◽  
Vol 4 (2) ◽  
pp. 17-00040-17-00040
Author(s):  
Xuechuan WANG ◽  
Satya N. ATLURI
Keyword(s):  
Dynamical Systems ◽  
Computational Methods ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical
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