Parameterization of Unstable Manifolds for DDEs: Formal Series Solutions and Validated Error Bounds

2021 ◽  
Author(s):  
Olivier Hénot ◽  
Jean-Philippe Lessard ◽  
J. D. Mireles James
Keyword(s):  
Error Bounds ◽  
Formal Series ◽  
Series Solutions ◽  
Unstable Manifolds ◽  
Validated Error Bounds

scholarly journals Special formal series solutions of linear operator equations

2000 ◽  
Vol 210 (1-3) ◽  
pp. 3-25 ◽  
Author(s):  
Sergei A. Abramov ◽  
Marko Petkovšek ◽  
Anna Ryabenko
Keyword(s):  
Linear Operator ◽  
Formal Series ◽  
Series Solutions ◽  
Operator Equations ◽  
Linear Operator Equations

scholarly journals Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra

2016 ◽  
Vol 26 (4) ◽  
pp. 1055-1095 ◽  
Author(s):  
Jan Bouwe van den Berg ◽  
Jason D. Mireles James ◽  
Christian Reinhardt
Keyword(s):  
Error Bounds ◽  
Stable Manifolds ◽  
Validated Error Bounds
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