撤稿:具有隐藏吸引子的广义Lorenz系统动力学分析
Dynamics Analysis of Generalized Lorenz System with Hidden Attractors
DOI: 10.12677/AAM.2019.812227, PDF, HTML, 下载: 850  浏览: 2,904 
作者: 邓生文:兰州交通大学数理学院,甘肃 兰州
关键词: Lorenz系统隐藏吸引子动力学Hamilton能量Lorenz System Hidden Attractor Dynamics Hamilton Energy
摘要:

撤稿声明:“具有隐藏吸引子的广义Lorenz系统动力学分析”一文刊登在201912月出版的《应用科学进展》2019年第8卷第12期第1979-1985上。由于作者另作他用需要撤稿,编委会现决定撤除此重复稿件,保留原出版出处:

邓生文. 具有隐藏吸引子的广义Lorenz系统动力学分析[J]. 应用数学进展, 2019, 8(12): 1979-1985. http://dx.doi.org/10.12677/AAM.2019.812227 并对此撤稿带来的不便致以歉意

文章引用:邓生文. 撤稿:具有隐藏吸引子的广义Lorenz系统动力学分析[J]. 应用数学进展, 2019, 8(12): 1979-1985. https://doi.org/10.12677/AAM.2019.812227

参考文献

[1] Sarasola, C., Torrealdea, F.J., Anjou, A., Moujahid, A. and Graña, M. (2004) Energy Balance in Feedback Synchronization of Chaotic Systems. Physical Review E, 69, Article ID: 011606.
https://doi.org/10.1103/PhysRevE.69.011606
[2] Arnold, V.I. (1989) Mathematical Methods of Classical Mechanics. Springer, New York.
https://doi.org/10.1007/978-1-4757-2063-1
[3] Li, J.B. (1994) Generalized Hamiltonian Systems Theory and Its Applications. Science Press, Beijing.
[4] Sira-Ramirez, H. and Cruz-Hernandez, C. (2001) Synchronization of Chaotic Systems: A Generalized Hamiltonian Systems Approach. International Journal of Bifurcation & Chaos, 11, 1381-1395.
https://doi.org/10.1142/S0218127401002778
[5] Torrealdea, F.J. and Anjou Graña, M. (2006) Energy Aspects of the Synchronization of Model Neurons. Physical Review E, 74, Article ID: 011905.
https://doi.org/10.1103/PhysRevE.74.011905
[6] Torrealdea, F.J., Sarasola, C. and Anjou, A.D. (2009) Energy Consumption and Information Transmission in Model Neurons. Chaos Solitons & Fractals, 40, 60-68.
https://doi.org/10.1016/j.chaos.2007.07.050
[7] Moujahid, A. Anjou, A.D., Torrealdea, F. and Torrealdea, F.J. (2012) Energy Cost Reduction in the Synchronization of a Pair of Nonidentical Coupled Hindmarsh-Rose Neurons. Trends in Practical Applications of Agents and Multiagent Systems, 22, 657-664.
https://doi.org/10.1007/978-3-642-12433-4_77
[8] Ma, J., Wu, F.Q. and Ren, G.D. (2017) A Class of Initials-Dependent Dynamical Systems. Applied Mathematics and Computation, 298, 65-76.
https://doi.org/10.1016/j.amc.2016.11.004
[9] Wang, C.N., Wang, Y. and Ma, J. (2016) Calculation of Hamilton Energy Function of Dynamical System by Using Helmholtz Theorem. Acta Physica Sinica, 65, 30-35.
[10] Song, X.L., Jin, W.Y. and Ma, J. (2015) Energy Dependence on the Electric Activities of a Neuron. Chinese Physics B, 24, Article ID: 128710.
https://doi.org/10.1088/1674-1056/24/12/128710
[11] Ma, J., Wu, F.Q., Jin, W.Y., Zhou1, P. and Hayat, T. (2017) Calculation of Hamilton Energy and Control of Dynamical Systems with Different Types of Attractors. Chaos, 27, 481-495.
https://doi.org/10.1063/1.4983469
[12] Li, F. and Yao, C.G. (2016) The Infinite-Scroll Attractor and Energy Transition in Chaotic Circuit. Nonlinear Dynamic, 84, 2305-2315.
https://doi.org/10.1007/s11071-016-2646-z
[13] Bilotta, E., Blasi, G.D. and Stranges, F. (2015) A Gallery of Chua Attractors. VI. International Journal of Bifurcation and Chaos, 17, 49-51.
[14] Leonov, G.A., Kuznetsov, N.V. and Mokaev, T.N. (2015) Homoclinic Orbits, and Self-Excited and Hidden Attractors in a Lorenz-Like System Describing Convective Fluid Motion. European Physical Journal Special Topics, 224, 1421-1458.
https://doi.org/10.1140/epjst/e2015-02470-3
[15] Rabinovich, M. (1978) Stochastic Autooscillations and Turbulence. Uspekhi Fizicheskih Nauk, 125, 123-168.
https://doi.org/10.3367/UFNr.0125.197805g.0123