Quantitative characterization of spatiotemporal patterns II

Physica A: Statistical Mechanics and its Applications

Volumn 260, Issue 3-4, 1998, Pages 374-380

  Shibata, Hiroshi ^a  

^a SOJO UNIVERSITY   (Japan)

Author keywords

Local Lyapunov exponent; Mean Lyapunov exponent; Nonlinear partial differential equation; Spatiotemporal chaos; Spatiotemporal pattern

Indexed keywords

LYAPUNOV METHODS; NONLINEAR EQUATIONS; PROBABILITY DISTRIBUTIONS;

SPATIOTEMPORAL PATTERN;

CHAOS THEORY;

EID: 0032208224     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00311-2     Document Type: Article

References (11)

1. P. Bergé, Y. Pomeau, C. Vidal, Order within Chaos, Wiley, New York, 1984.
2. H.G. Schuster, Deterministic Chaos, VCH, Weinheim, 1988.
3. H.-O. Peitgen, H. Jürgens, D. Saupe, Chaos and Fractals, Springer, New York, 1992.
4. I. Shimada, T. Nagashima, Prog. Theor. Phys. 61 (1979) 1605.
5. H. Hata, T. Horita, H. Mori, T. Morita, K. Tomita, Prog. Theor. Phys. 80 (1988) 809.
6. T. Horita, H. Hata, H. Mori, T. Morita, K. Tomita, Prog. Theor. Phys. 80 (1988) 923.
7. H. Mori, H. Hata, T. Horita, T. Kobayashi, Prog. Theor. Phys. (Suppl. 99) (1989) 1 and references cited therein.
8. H. Shibata, Physica A 252 (1998) 428.
9. H. Shibata, Physica A, 253 (1998) 118.
10. G.D. Smith, Numerical Solution of Partial Differential Equations, 3rd ed., Oxford University Press, New York, 1985.
11. R.D. Richtmyer, K.W. Morton, Difference Methods for Initial-Value Problems, 2nd ed., Krieger, Malabar, 1994.