Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio-Reference-Cited by-同舟云学术

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Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio

Published:2016-01 Issue:2 Volume:15 Page:981-1024
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Delshams Amadeu,Gonchenko Marina,Gutiérrez Pere

Funder

Russian Cientific Foundation

Generalitat de Catalunya

Knut och Alice Wallenbergs Stiftelse

Ministerio de Economía y Competitividad

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modelling and Simulation,Analysis

Link

http://epubs.siam.org/doi/pdf/10.1137/15M1032776

Reference39 articles.

1. Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results

2. Exponentially Small Splitting of Separatrices Under Fast Quasiperiodic Forcing

3. Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type

Cited by 5 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. On Bifurcations of Symmetric Elliptic Orbits;Regular and Chaotic Dynamics;2024-01

2. On 1:3 Resonance Under Reversible Perturbations of Conservative Cubic Hénon Maps;Regular and Chaotic Dynamics;2022-03

3. Exponentially Small Splitting of Separatrices Associated to 3D Whiskered Tori with Cubic Frequencies;Communications in Mathematical Physics;2020-08-14

4. Stationary Phase Methods and the Splitting of Separatrices;Communications in Mathematical Physics;2019-02-13

5. On the “Hidden” Harmonics Associated to Best Approximants Due to Quasi-periodicity in Splitting Phenomena;Regular and Chaotic Dynamics;2018-11

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