DYNAMICAL_SYSTEM

作品数:184被引量:216H指数:7
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相关作者:李远禄徐瑞于盛林阳平华李伟更多>>
相关机构:中国人民解放军军械工程学院南京航空航天大学浙江师范大学西安电子科技大学更多>>
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A nonlocal Burgers equation in atmospheric dynamical system and its exact solutions
《Chinese Physics B》2019年第1期189-194,共6页Xi-Zhong Liu Jun Yu Zhi-Mei Lou Xian-Min Qian 
Project supported by the National Natural Science Foundation of China(Grant Nos.11405110,11275129,and 11472177);the Natural Science Foundation of Zhejiang Province of China(Grant No.LY18A050001)
From a two-vortex interaction model in atmospheric and oceanic systems, a nonlocal counterpart with shifted parity and delayed time reversal is derived by a simple AB reduction. To obtain some approximate analytic sol...
关键词:AB–BA EQUIVALENCE principle NONLOCAL BURGERS equation periodic waves 
Noether symmetry and conserved quantity for dynamical system with non-standard Lagrangians on time scales被引量:12
《Chinese Physics B》2017年第8期201-209,共9页宋静 张毅 
supported by the National Natural Science Foundation of China(Grant Nos.11572212 and 11272227);the Innovation Program of Suzhou University of Science and Technology,China(Grant No.SKYCX16 012)
This paper focuses on studying the Noether symmetry and the conserved quantity with non-standard Lagrangians, namely exponential Lagrangians and power-law Lagrangians on time scales. Firstly, for each case, the Hamilt...
关键词:time scale non-standard Lagrangian Noether symmetry conserved quantity 
Methods of reduction for Lagrange systems on time scales with nabla derivatives被引量:4
《Chinese Physics B》2017年第1期243-249,共7页Shi-Xin Jin Yi Zhang 
supported by the National Natural Science Foundation of China(Grant Nos.11572212 and 11272227);the Innovation Program for Graduate Student of Jiangsu Province,China(Grant No.KYLX16-0414)
The Routh and Whittaker methods of reduction for Lagrange system on time scales with nabla derivatives are studied.The equations of motion for Lagrange system on time scales are established, and their cyclic integrals...
关键词:reduction of dynamical system cyclic integral energy integral time scales 
Study on a new chaotic bitwise dynamical system and its FPGA implementation被引量:3
《Chinese Physics B》2015年第6期184-191,共8页王倩雪 禹思敏 C.Guyeux J.Bahi 方晓乐 
Project supported by China Postdoctoral Science Foundation(Grant No.2014M552175);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,Chinese Education Ministry;the National Natural Science Foundation of China(Grant No.61172023);the Specialized Research Foundation of Doctoral Subjects of Chinese Education Ministry(Grant No.20114420110003)
In this paper, the structure of a new chaotic bitwise dynamical system (CBDS) is described. Compared to our previous research work, it uses various random bitwise operations instead of only one. The chaotic behavior...
关键词:CHAOS chaotic bitwise dynamical systems FPGA implementation 
Existence of heteroclinic orbits in a novel three-order dynamical system被引量:1
《Chinese Physics B》2013年第11期232-238,共7页胡瑀 闵乐泉 甄平 
Project supported by the National Natural Science Foundation of China(Grant Nos.61170037 and 61074192)
In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit i...
关键词:novel chaotic system heteroclinic orbit Si'lnikov criterion undetermined coefticient method 
Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints被引量:2
《Chinese Physics B》2013年第2期45-49,共5页王肖肖 韩月林 张美 贾利群 
Project supported by the National Natural Science Foundation of China (Grant No. 11142014);the Scientific Research and Innovation Plan for College Graduates of Jiangsu Province,China (Grant No. CXLX12_0720)
Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of...
关键词:Chetaev-type nonholonomic constraints dynamics of relative motion Appell equation Lie symmetry 
Dynamical behaviors of a system with switches between the Rossler oscillator and Chua circuits被引量:1
《Chinese Physics B》2012年第10期130-136,共7页张春 余跃 韩修静 毕勤胜 
Project supported by the National Natural Science Foundation of China (Grant No. 20976075)
The behaviors of a system that alternates between the R¨ossler oscillator and Chua's circuit is investigated to explore the influence of the switches on the dynamical evolution.Switches related to the state variable...
关键词:switching dynamical system bifurcation mechanism focus/cycle switching chaotic oscillation 
Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints被引量:1
《Chinese Physics B》2012年第5期6-10,共5页王肖肖 孙现亭 张美玲 韩月林 贾利群 
Project supported by the National Natural Science Foundation of China (Grant No. 11142014 and 61178032)
The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied.The differential equations of motion of the Appell equ...
关键词:non-Chetaev nonholonomic constrained system dynamics of relative motion Appell equation Mei conserved quantity 
Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint被引量:2
《Chinese Physics B》2011年第12期259-263,共5页王肖肖 孙现亭 张美玲 解银丽 贾利群 
The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Ni...
关键词:nonholonomic constraint of Chetaev's type relative motion Nielsen equation Hojman conserved quantity 
Effect of time delay on the upper bound of the time derivative of information entropy in a stochastic dynamical system
《Chinese Physics B》2011年第11期122-126,共5页张敏敏 王参军 梅冬成 
supported by the National Natural Science Foundation of China(Grant No.10865006);the Science Foundation of Yunnan University,China(Grant No.2009A01z);the Natural Science Foundation of Shaanxi Province,China(Grant No.2010JQ1014);the Science Foundation of Baoji University of Science and Arts of China(Grant No.ZK0954)
The effects of the time delay on the upper bound of the time derivative of information entropy are investigated in a time-delayed dynamical system driven by correlated noise. Using the Markov approximation of the stoc...
关键词:information entropy upper bound time delay noise 
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