Hausdorff Dimension and Fractal Dimension of Global Attractor - Articles

The Family of Global Attractors for Kirchhoff-Type Coupled Equations (Articles)

Guoguang Lin, Jiaying Zhou

Journal of Applied Mathematics and Physics Vol.10 No.6, June 30, 2022

DOI: 10.4236/jamp.2022.106139 131 Downloads 784 Views Citations
Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations (Articles)

Guoguang Lin, Lingjuan Hu

Advances in Pure Mathematics Vol.8 No.1, January 9, 2018

DOI: 10.4236/apm.2018.81002 983 Downloads 2,039 Views Citations
A Family of the Global Attractor for Higher Order Nonlinear Kirchhoff Equation (Articles)

Guoguang Lin, Yingguo Wang

Open Journal of Applied Sciences Vol.11 No.6, June 30, 2021

DOI: 10.4236/ojapps.2021.116055 324 Downloads 1,038 Views Citations
The Estimates of the Upper Bounds of Hausdorff Dimensions for the Global Attractor for a Class of Nonlinear Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Ming Zhang

Advances in Pure Mathematics Vol.8 No.1, January 9, 2018

DOI: 10.4236/apm.2018.81001 935 Downloads 1,857 Views Citations
Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force (Articles)

Zhaoqin Yuan, Liang Guo, Guoguang Lin

Applied Mathematics Vol.6 No.4, April 29, 2015

DOI: 10.4236/am.2015.64068 3,084 Downloads 4,098 Views Citations
On the Need for Fractal Logic in High Energy Quantum Physics (Articles)

M. S. El Naschie, S. Olsen, J. H. He, S. Nada, L. Marek-Crnjac, A. Helal

International Journal of Modern Nonlinear Theory and Application Vol.1 No.3, September 28, 2012

DOI: 10.4236/ijmnta.2012.13012 10,917 Downloads 17,056 Views Citations
Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Sanmei Yang

Journal of Applied Mathematics and Physics Vol.5 No.12, December 29, 2017

DOI: 10.4236/jamp.2017.512197 790 Downloads 1,929 Views Citations
The Global Attractor and Its Dimension Estimation of Generalized Kolmogorov-Petrovlkii-Piskunov Equation (Articles)

Yuhuai Liao

Journal of Applied Mathematics and Physics Vol.12 No.4, April 24, 2024

DOI: 10.4236/jamp.2024.124073 156 Downloads 534 Views Citations
Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation (Articles)

Cheng Zhang, Guoguang Lin

Applied Mathematics Vol.5 No.1, December 26, 2013

DOI: 10.4236/am.2014.51002 5,210 Downloads 7,638 Views Citations
Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation (Articles)

Meixia Wang, Cuicui Tian, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.3 No.4, September 24, 2014

DOI: 10.4236/ijmnta.2014.34018 2,736 Downloads 4,035 Views Citations
The Family of Global Attractors for a Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Xiaomei Liu

Open Journal of Applied Sciences Vol.11 No.7, July 20, 2021

DOI: 10.4236/ojapps.2021.117058 283 Downloads 989 Views Citations
The Long-Term Dynamic Behavior of Solutions to a Class of Generalized Higher-Order Kirchhoff-Type Coupled Wave Equations (Articles)

Guoguang Lin, Min Shao

Journal of Applied Mathematics and Physics Vol.10 No.7, July 21, 2022

DOI: 10.4236/jamp.2022.107150 180 Downloads 800 Views Citations
A Family of Global Attractors for the Generalized Kirchhoff-Beam Equations (Articles)

Guoguang Lin, Boshi Chen

Journal of Applied Mathematics and Physics Vol.11 No.7, July 25, 2023

DOI: 10.4236/jamp.2023.117126 183 Downloads 659 Views Citations
A Family of Global Attractors for a Class of Generalized Kirchhoff-Beam Equations (Articles)

Yuhuai Liao, Guoguang Lin, Jie Liu

Journal of Applied Mathematics and Physics Vol.10 No.3, March 30, 2022

DOI: 10.4236/jamp.2022.103064 212 Downloads 955 Views Citations
Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology (Articles)

L. Marek-Crnjac, M. S. El Naschie, Ji-Huan He

International Journal of Modern Nonlinear Theory and Application Vol.2 No.1A, March 29, 2013

DOI: 10.4236/ijmnta.2013.21A010 7,638 Downloads 13,717 Views Citations
This article belongs to the Special Issue on Chaos
Global Attractors and Their Dimension Estimates for a Class of Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Lujiao Yang

Advances in Pure Mathematics Vol.11 No.4, April 25, 2021

DOI: 10.4236/apm.2021.114020 493 Downloads 1,341 Views Citations
The Dynamic Behavior of a Class of Kirchhoff Equations with High Order Strong Damping (Articles)

Guoguang Lin, Chunmeng Zhou

Journal of Applied Mathematics and Physics Vol.9 No.5, May 26, 2021

DOI: 10.4236/jamp.2021.95071 323 Downloads 1,345 Views Citations
Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations (Articles)

Guoguang Lin, Keshun Peng

Journal of Applied Mathematics and Physics Vol.11 No.10, October 25, 2023

DOI: 10.4236/jamp.2023.1110196 164 Downloads 501 Views Citations
Besicovitch-Eggleston Function (Articles)

Manav Das

Advances in Pure Mathematics Vol.1 No.5, September 21, 2011

DOI: 10.4236/apm.2011.15048 5,738 Downloads 10,709 Views Citations
Comparison of Correlation Dimension and Fractal Dimension in Estimating BIS index (Articles)

Behzad AHMADI, Rassoul AMIRFATTAHI

Wireless Sensor Network Vol.2 No.1, January 13, 2010

DOI: 10.4236/wsn.2010.21010 9,156 Downloads 15,879 Views Citations

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