Spatiotemporal chaos in a conservative Duffing-type system
Author
Abstract
Suggested Citation
DOI: 10.1016/j.chaos.2022.112776
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Martin Brandenbourger & Xander Locsin & Edan Lerner & Corentin Coulais, 2019. "Non-reciprocal robotic metamaterials," Nature Communications, Nature, vol. 10(1), pages 1-8, December.
- Corentin Coulais & Dimitrios Sounas & Andrea Alù, 2017. "Static non-reciprocity in mechanical metamaterials," Nature, Nature, vol. 542(7642), pages 461-464, February.
- Romeo, Francesco & Rega, Giuseppe, 2006. "Wave propagation properties in oscillatory chains with cubic nonlinearities via nonlinear map approach," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 606-617.
- Musielak, D.E. & Musielak, Z.E. & Benner, J.W., 2005. "Chaos and routes to chaos in coupled Duffing oscillators with multiple degrees of freedom," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 907-922.
- Wang, Mingxu & Wang, Xingyuan & Wang, Chunpeng & Xia, Zhiqiu & Zhao, Hongyu & Gao, Suo & Zhou, Shuang & Yao, Nianmin, 2020. "Spatiotemporal chaos in cross coupled map lattice with dynamic coupling coefficient and its application in bit-level color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
- Shibata, Hiroshi, 1999. "Lyapunov exponent of partial differential equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 226-233.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Reis, Eduardo V.M. & Savi, Marcelo A., 2024. "Spatiotemporal nonlinear dynamics and chaos in a mechanical Duffing-type system," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Reis, Eduardo V.M. & Savi, Marcelo A., 2024. "Spatiotemporal nonlinear dynamics and chaos in a mechanical Duffing-type system," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
- Luanluan Xue & An Li & Huizeng Li & Xinye Yu & Kaixuan Li & Renxuan Yuan & Xiao Deng & Rujun Li & Quan Liu & Yanlin Song, 2024. "Droplet-based mechanical transducers modulated by the symmetry of wettability patterns," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
- Zou, Chengye & Wang, Xingyuan & Zhou, Changjun & Xu, Shujuan & Huang, Chun, 2022. "A novel image encryption algorithm based on DNA strand exchange and diffusion," Applied Mathematics and Computation, Elsevier, vol. 430(C).
- Wu, Rui & Gao, Suo & Wang, Xingyuan & Liu, Songbo & Li, Qi & Erkan, Uğur & Tang, Xianglong, 2022. "AEA-NCS: An audio encryption algorithm based on a nested chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
- Zhou Hu & Zhibo Wei & Kun Wang & Yan Chen & Rui Zhu & Guoliang Huang & Gengkai Hu, 2023. "Engineering zero modes in transformable mechanical metamaterials," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
- El-Bassiouny, A.F., 2006. "Single-mode control and chaos of cantilever beam under primary and principal parametric excitations," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1098-1121.
- Togueu Motcheyo, A.B. & Macías-Díaz, J.E., 2023. "Nonlinear bandgap transmission with zero frequency in a cross-stitch lattice," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
- Jinhao Zhang & Mi Xiao & Liang Gao & Andrea Alù & Fengwen Wang, 2023. "Self-bridging metamaterials surpassing the theoretical limit of Poisson’s ratios," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
- Yan, Minxiu & Jie, Jingfeng, 2022. "Fractional-order multiwing switchable chaotic system with a wide range of parameters," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
- Yu, Xiang & Zhu, Shi-Jian & Liu, Shu-Yong, 2008. "Bifurcation and chaos in multi-degree-of-freedom nonlinear vibration isolation system," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1498-1504.
- Ding, Dawei & Zhu, Haifei & Zhang, Hongwei & Yang, Zongli & Xie, Dong, 2024. "An n-dimensional polynomial modulo chaotic map with controllable range of Lyapunov exponents and its application in color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
- Ario, Ichiro, 2013. "Multiple duffing problem in a folding structure with hill-top bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 52-63.
- Man, Zhenlong & Li, Jinqing & Di, Xiaoqiang & Sheng, Yaohui & Liu, Zefei, 2021. "Double image encryption algorithm based on neural network and chaos," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
- Yan, Shaohui & Jiang, Defeng & Cui, Yu & Zhang, Hanbing & Li, Lin & Jiang, Jiawei, 2024. "A fractional-order hyperchaotic system that is period in integer-order case and its application in a novel high-quality color image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
- Sun, Yeong-Jeu, 2008. "Composite tracking control for a class of uncertain nonlinear control systems with uncertain deadzone nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 383-389.
- Shahram Janbaz & Corentin Coulais, 2024. "Diffusive kinks turn kirigami into machines," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
- Wang, Mingxu & Fu, Xianping & Teng, Lin & Yan, Xiaopeng & Xia, Zhiqiu & Liu, Pengbo, 2024. "A new 2D-HELS hyperchaotic map and its application on image encryption using RNA operation and dynamic confusion," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
- Wang, Xingyuan & Guan, Nana & Yang, Jingjing, 2021. "Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
- El-Bassiouny, A.F., 2009. "On methods for continuous systems with quadratic, cubic and quantic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1308-1316.
- Haitao Ye & Qingjiang Liu & Jianxiang Cheng & Honggeng Li & Bingcong Jian & Rong Wang & Zechu Sun & Yang Lu & Qi Ge, 2023. "Multimaterial 3D printed self-locking thick-panel origami metamaterials," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
More about this item
Keywords
Spatiotemporal chaos; Duffing system; Chaos; Nonlinear dynamics; Mechanical vibration; Perturbation;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009559. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.