Introduction to rigorous numerics in dynamics: General functional analytic setup and an example that forces chaos

2018 ◽  
pp. 1-25 ◽  
Author(s):  
Jan van den Berg
Keyword(s):  
Rigorous Numerics

scholarly journals Rigorous numerics for critical orbits in the quadratic family

2020 ◽  
Vol 30 (7) ◽  
pp. 073143
Author(s):  
A. Golmakani ◽  
C. E. Koudjinan ◽  
S. Luzzatto ◽  
P. Pilarczyk
Keyword(s):  
Rigorous Numerics ◽  
Quadratic Family

scholarly journals Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach

2015 ◽  
Vol 85 (299) ◽  
pp. 1427-1459 ◽  
Author(s):  
Allan Hungria ◽  
Jean-Philippe Lessard ◽  
J. D. Mireles James
Keyword(s):  
Differential Equations ◽  
Analytic Solutions ◽  
Rigorous Numerics

scholarly journals Rigorous numerics for nonlinear operators with tridiagonal dominant linear part

2015 ◽  
Vol 35 (10) ◽  
pp. 4765-4789 ◽  
Author(s):  
Maxime Breden ◽  
◽  
Laurent Desvillettes ◽  
Jean-Philippe Lessard ◽  
Keyword(s):  
Linear Part ◽  
Rigorous Numerics ◽  
Nonlinear Operators
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