Critical behavior of the Lyapunov exponent in type-III intermittency

Chaos, Solitons and Fractals

Volumn 36, Issue 1, 2008, Pages 150-156

  Alvarez Llamoza, O ^a,b   Cosenza, M G ^b   Ponce, G A ^c,d  

^a UNIVERSIDAD DE CARABOBO   (Venezuela)

^b UNIVERSIDAD DE LOS ANDES   (Venezuela)

^c NATIONAL AUTONOMOUS UNIVERSITY OF HONDURAS   (Honduras)

^d Universidad Pedagógica Nacional Francisco Morazán   (Honduras)

Author keywords

[No Author keywords available]

Indexed keywords

MAPS; MATHEMATICAL MODELS; ONE DIMENSIONAL; ROBUST CONTROL; SCALING LAWS;

CONTINUOUS TRANSITION; INTERMITTENCY; INTERMITTENT TRANSITION;

LYAPUNOV METHODS;

EID: 35348914401     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.06.017     Document Type: Article

References (17)

1. Pomeau Y., and Manneville P. Intermittent transition to turbulence in dissipative dynamical systems. Commun Math Phys 74 (1980) 189-197
2. Pellegrini L., Tablino C., Albertoni S., and Biardi G. Different scenarios in a controlled tubular reactor with a countercurrent coolant. Chaos, Solitons & Fractals 3 (1993) 537-549
3. Mureithi N.W., Paidoussis M.P., and Price S.J. Intermittency transition to chaos in the response of a loosely supported cylinder in an array in cross-flow. Chaos, Solitons & Fractals 5 (1995) 847-867
4. Russo L., Altimari P., Mancusi E., Maffettone P.L., and Crescitelli S. Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching. Chaos, Solitons & Fractals 28 (2006) 682-706
5. Mayer-Kress G., and Haken H. Attractors of convex maps with positive Schwarzian derivative in the presence of noise. Physica D 10 (1984) 329-339
6. Kawabe T., and Kondo Y. Scaling law of the mean laminar length in intermittent chaos. J Phys Soc Jpn 65 (1996) 879-882
7. Kodama H., Sato S., and Honda K. Reconsideration of the renormalization-group theory on intermittent chaos. Phys Lett A 157 (1991) 354-356
8. Kodama H., Sato S., and Honda K. Renormalization-group theory on intermittent chaos in relation to its universality. Prog Theor Phys 86 (1991) 309-314
9. Khan A.M., Mar D.J., and Westervelt R.M. Spatial measurements near the instability threshold in ultrapure Ge. Phys Rev B 45 (1992) 8342-8347
10. Hye W., Rim S., Kim C., Lee J., Ryu J.W., Yeom B., et al. Experimental observation of characteristic relations of type-III intermittency in the presence of noise in a simple electronic circuit. Phys Rev E 68 (2003) 036203
11. Calcavante H.L., and Rios Leite J.R. Averages and critical exponents in type-III intermittent chaos. Phys Rev E 66 (2002) 026210
12. Kim C.M., Yim G.S., Ryu J.W., and Park Y. Characteristic relations of type-III intermittency in an electronic circuit. Phys Rev Lett 80 (1998) 5317-5320
13. Ono Y., Fukushima K., and Yazaki T. Critical behavior for the onset of type-III intermittency observed in an electronic circuit. Phys Rev E 32 (1995) 4520-4522
14. Banerjee S., Yorke J.A., and Grebogi C. Robust chaos. Phys Rev Lett 80 (1998) 3049-3052
15. Kawabe T., and Kondo Y. Intermittent chaos generated by logarithmic map. Prog Theor Phys 86 (1991) 581-586
16. Cosenza M.G., and González J. Synchronization and collective behavior in globally coupled logarithmic maps. Prog Theor Phys 100 (1998) 21-38
17. Andrecut M., and Ali M.K. Robust chaos in smooth unimodal maps. Phys Rev E 64 (2001) 025203R