Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs-Reference-Cited by-同舟云学术

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Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs

Published:2018 Issue:7 Volume:23 Page:2825-2858
ISSN:1553-524X
Container-title:Discrete & Continuous Dynamical Systems - B
language:en
Short-container-title:

Author:

Breden Maxime, ,Lessard Jean-Philippe, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://aimsciences.org/download/files/1531-3492_2018_7_2825.pdf

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Validated integration of differential equations with state-dependent delay;Communications in Nonlinear Science and Numerical Simulation;2022-12

2. A numerical verification method to specify homoclinic orbits as application of local Lyapunov functions;Japan Journal of Industrial and Applied Mathematics;2022-03-28

3. Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs;Chaos: An Interdisciplinary Journal of Nonlinear Science;2021-04

4. Rigorous numerics for ODEs using Chebyshev series and domain decomposition;Journal of Computational Dynamics;2021

5. Validated computations for connecting orbits in polynomial vector fields;Indagationes Mathematicae;2020-03

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