Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones-Reference-Cited by-同舟云学术

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Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones

Published:2022-12 Issue: Volume:434 Page:127357
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Glendinning P.A.,Simpson D.J.W.^ORCID

Funder

Marsden Fund

Royal Society Te Apārangi

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. Bifurcation and Chaos in Nonsmooth Mechanical Systems;Awrejcewicz,2003

2. Piecewise Linear Control Systems;Johansson,2003

3. Dynamics in genetic networks;Edwards;Amer. Math. Monthly,2014

4. Chaos-based cryptography;Kocarev,2011

5. Un attracteur étrange(?) du type attracteur de Hénon;Lozi;J. Phys. (Paris),1978

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. Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters;Physica D: Nonlinear Phenomena;2024-06

2. Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’;Journal of Difference Equations and Applications;2023-11-16

3. Survey of Recent Applications of the Chaotic Lozi Map;Algorithms;2023-10-22

4. Unstable dimension variability and heterodimensional cycles in the border-collision normal form;Physical Review E;2023-08-03

5. Beyond the Bristol book: Advances and perspectives in non-smooth dynamics and applications;Chaos: An Interdisciplinary Journal of Nonlinear Science;2023-01-01

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