Pattern Formation and Spatial Chaos in Lattice Dynamical Systems—Part II

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 42, Issue 10, 1995, Pages 752-756

  Mallet Paret, John ^a   Chow, Shui Nee ^b  

^a BROWN UNIVERSITY   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; LATTICE VIBRATIONS; MATHEMATICAL MODELS; STABILITY CRITERIA;

LATTICE DYNAMICAL SYSTEMS; PATTERN FORMATION; SPATIAL CHAOS;

NONLINEAR NETWORK ANALYSIS;

EID: 0029390406     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.473584     Document Type: Article

References (7)

1. R. Berger, “The undecidability of the domino problem,” Mem. Amer. Math. Soc., vol. 66, 1966.
2. J. W. Cahn, S.-N. Chow, J. Mallet-Paret, and E. S. Van Vleck, “Bifurcation phenomena in lattice differential equations,” in preparation.
3. J. W. Cahn, S.-N. Chow, and E. S. Van Vleck, “Spatially discrete nonlinear diffusion equations,” to be published in Rocky Mount. J. Math.,.
4. S.-N. Chow and J. Mallet-Paret, “Pattern formation and spatial chaos in lattice dynamical systems—Part I,” IEEE Trans. Circuits Syst., vol. 42, no. 10, pp. 746-751, this issue.
5. S.-N. Chow, J. Mallet-Paret, and E. S. Van Vleck, “Pattern formation and spatial chaos in spatially discrete evolution equations,” to be published in Random and Computational Dynamics.
6. —, “Spatial entropy of stable mosaic solutions for a class of spatially discrete evolution equations,” in preparation.
7. K. Schmidt, Algebraic Ideas in Ergodic Theory, CBMS Lecture Notes, Amer. Math. Soc., 1990.