超点阵斑图研究进展
摘要
概括了几种斑图系统包括Faraday系统、铁磁流体动力学系统、对流系统、反应扩散系统及非线性光学系统中超点阵斑图的研究进展.介绍了本研究小组在介质阻挡放电系统得到的4种超点阵斑图及其时空动力学特性.对超点阵斑图研究进行了总结与展望.
基金
国家自然科学基金(批准号:10775037)
河北省百人计划资助项目
参考文献47
-
1Epstein T, Fineberg J. Grid states and nonlinear selection in parametrically excited surface waves. Phys Rev E, 2006, 73: 055302
-
2Pi HJ, Park SY, Lee J, et al. Superlattice, rhombus, square, and hexagonal standing waves in magnetically driven ferrofluid surface. Phys Rev Lett, 2000, 84(23) : 5316-5319
-
3Rogers JL, Schatz MF, Brausch O, et al. Superlattice patterns in vertically oscillated rayleigh-benard convection. Phys Rev Lett, 2000, 85(20):4281-4284
-
4Yang LF, Dolnik M, Zhabotinsky AM, et al. Turing patterns beyond hexagons and stripes. Chaos, 2006, 16:037114
-
5Vorontsov MA, Samson BA. Nonlinear dynamics in an optical system with controlled two-dimensional feedback: Black-eye patterns and related phenomena, Phys Rev A, 1998, 57(4) : 3040-3049
-
6Dong LF, Fan WL, He YF, et al. Square superlattice pattern in dielectric barrier discharge. Phys Rev E, 2006, 73: 066206
-
7Dong LF, Gao RL, He YF, et al. Hexagonal superlattice state in dielectric barrier discharge. Phys Rev E, 2006, 74: 057202
-
8Cross MC, Hohenberg PC. Pattern formation outside of equilibrium. Rev Mod Phys, 1993, 65(3): 851-1112
-
9Wagner C, Muller HW, Knoor K, Crossover from a square to a hexagonal pattern in Faraday surface waves. Patt-Sol, 1999, 99: 11001
-
10Wagner C, Muller HW, Knoor K. Faraday waves on a viscoelastic liquid. PhysRevLett, 1999, 83(2): 308-311
-
1刘书华,谷延霞.耦合反应扩散体系中的超点阵斑图[J].河北大学学报(自然科学版),2012,32(6):597-601.
-
2张洪钧.非线性光学系统中混沌的控制[J].光电子.激光,1997,8(A10):49-49. 被引量:2
-
3杨世平,杨朝璜.一类非线性光学系统中的混沌[J].陕西水利,1989(3):108-114.
-
4白占国,董丽芳,李永辉,范伟丽.双层耦合Lengel-Epstein模型中的超点阵斑图[J].物理学报,2011,60(11):704-710.
-
5李媛媛,董丽芳,宋倩,肖红,岳晗.超点阵斑图形成前放电丝时空特征[J].河北大学学报(自然科学版),2010,30(6):643-646. 被引量:2
-
6董丽芳,赵海涛,谢伟霞,王红芳,刘微粒,范伟丽,肖红.介质阻挡放电系统中超四边形斑图形成的实验研究[J].物理学报,2008,57(9):5768-5773. 被引量:2
-
7白占国,景宏华,李新政,李燕,李新娟.双层Lengyel-Epstein模型不同耦合形式下的图灵斑图[J].河北科技大学学报,2014,35(2):134-138.
-
8Souleymanou Abbagari,Thomas B.Bouetou,Timoleon C.Kofane.Generating a New Higher-Dimensional Coupled Integrable Dispersionless System:Algebraic Structures,Bcklund Transformation and Hidden Structural Symmetries[J].Communications in Theoretical Physics,2013,60(8):145-149. 被引量:1
-
9胡晓珊.带强迫项对流系统的空间混沌定义[J].德州学院学报,2004,20(6):90-93.
-
10陈俊英,董丽芳,李媛媛,肖红.气体放电中几种四边形斑图的发光特性[J].河北大学学报(自然科学版),2011,31(4):362-365.