Arbitrary-dimensional spike autosolitons

被引:1
|
作者
Osipov, VV [1 ]
Severtsev, AV [1 ]
机构
[1] Russian Sci Ctr ORION, Dept Theoret Phys, Moscow 111123, Russia
关键词
D O I
10.1016/S0378-4371(97)00453-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the shape of one of the basic types of solitary patterns - spike autosolitons (ASs) forming in many physical, chemical and biological systems. We show that in contrast to domain patterns forming in FitzHugh-Nagumo type systems the size and amplitude of spike ASs are determined by length scales rather than nonlinearities of the system. We find that the amplitude of 2D and 3D ASs is several orders greater than that of 1D AS and can take on gigantic values. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:162 / 166
页数:5
相关论文
共 50 条
  • [22] Explicit Boundary Control of Reaction-Diffusion PDEs on Arbitrary-Dimensional Balls
    Vazquez, Rafael
    Krstic, Miroslav
    2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, : 879 - 884
  • [23] A Hierarchical Representation and Computation Scheme of Arbitrary-dimensional Geometrical Primitives Based on CGA
    Luo, Wen
    Hu, Yong
    Yu, Zhaoyuan
    Yuan, Linwang
    Lu, Guonian
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (03) : 1977 - 1995
  • [24] Tighter Weighted Polygamy Inequalities of Multipartite Entanglement in Arbitrary-Dimensional Quantum Systems
    Chen, Bin
    Yang, Long-Mei
    Fei, Shao-Ming
    Wang, Zhi-Xi
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2019, 58 (03) : 1001 - 1007
  • [25] Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory
    李辉
    李岩松
    王书浩
    龙桂鲁
    Communications in Theoretical Physics, 2014, (03) : 273 - 280
  • [26] Tighter Weighted Polygamy Inequalities of Multipartite Entanglement in Arbitrary-Dimensional Quantum Systems
    Bin Chen
    Long-Mei Yang
    Shao-Ming Fei
    Zhi-Xi Wang
    International Journal of Theoretical Physics, 2019, 58 : 1001 - 1007
  • [27] Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model
    C.B. Muratov
    V.V. Osipov
    The European Physical Journal B - Condensed Matter and Complex Systems, 2001, 22 : 213 - 221
  • [28] Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model
    Muratov, CB
    Osipov, VV
    EUROPEAN PHYSICAL JOURNAL B, 2001, 22 (02): : 213 - 221
  • [29] Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory
    Li Hui
    Li Yan-Song
    Wang Shu-Hao
    Long Gui-Lu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (03) : 273 - 280
  • [30] Exactly solvable disordered sphere-packing model in arbitrary-dimensional Euclidean spaces
    Torquato, S
    Stillinger, FH
    PHYSICAL REVIEW E, 2006, 73 (03):