Switching induced complex dynamics in an extended logistic map

Chaos, Solitons and Fractals

Volumn 45, Issue 4, 2012, Pages 426-432

  Levinsohn, Erik A ^a   Mendoza, Steve A ^a   Peacock López, Enrique ^a  

^a WILLIAMS COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX DYNAMIC BEHAVIOR; COMPLEX DYNAMICS; COMPLEX TRAJECTORIES; DYNAMICAL BEHAVIORS; LOGISTIC MAPS; SWITCHING STRATEGIES;

MATHEMATICAL TECHNIQUES;

EID: 84857025819     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2011.12.020     Document Type: Article

References (30)

1. E. Peacock-López, and K. Lindenberg The transient flory model and its application to catalytic polymerization I J Phys Chem 88 1984 2270 2275
2. E. Peacock-López, and K. Lindenberg The transient flory model and its application to catalytic polymerization II J Phys Chem 90 1986 1725 1732
3. S.J. Lou, A.K. Beery, and E.E. Peacock-López Modeling square-wave pulse regulation Dyn Sys 25 2010 133 143
4. J. Buceta, and K. Lindenberg Switching-induced Turing instabilities Phys Rev E 66 2002 0462021 0462026
5. J. Buceta, and K. Lindenberg Patterns in reaction-diffusion systems generated by global alternation of dynamics Physica A325 2003 230 242
6. J. Almeida, D. Peralta-Salas, and M. Romera Can two chaotic systems give rise to order? Physica D 200 2005 124 132
7. E. Behrends Stochastic dynamics and Parrondo's paradox Physica D 237 2008 198 206 (Pubitemid 351163412)
8. A. Boyarsky, P. Góra, and Md.S. Aslam Randomly chosen chaotic maps can give rise to nearly ordered behavior Physica D 210 2005 284 294 (Pubitemid 41344788)
9. P. Amengual, P. Meurs, B. Cleuren, and R. Toral Reversal of chance in paradoxical games Physica A 371 2006 641 648
10. J.S. Cánovas, A. Linero, and D. Peralta-Salas Dynamic Parrondo's paradox Physica D 218 2006 177 184
11. G.P. Harmer, and D. Abbott Losing strategies can win by Parrondo's paradox Nature 402 1999 864
12. G.P. Harmer, and D. Abbott Parrondo's paradox Stat Sci 14 1999 14
13. D.C. Osipovitch, C. Barratt, and P.M. Schwartz Systems chemistry and Parrondos paradox: computational model of thermal cycling New J Chem 33 2009 2022 2027
14. D.C. Osipovitch, T. Gordon, C. Barratt, and P.M. Schwartz Chemical and biochemical models of Parrondo's paradox FASEB J 23 2009 514
15. D.M. Wolf, V.V. Vazirani, and A.P. Arkin Diversity in times of adversity: probabilistic strategies in microbial survival games J Theor Biol 234 2005 227 253 (Pubitemid 40332696)
16. F.A. Reed Two-locus epistasis with sexually antagonistic selection: a genetic Parrondo's paradox Genetics 176 2007 1923 1929 (Pubitemid 47105243)
17. T.W. Tang, A. Allison, and D. Abbot Investigation of chaotic switching strategies in Parrondo's games Fluct Noise Lett 4 2004 L585 L596
18. G.P. Harmer, and D. Abbott Asymmetry and disorder: a decade of Parrondo games Fluct Noise Lett 9 2010 129 156
19. G.P. Harmer, D. Abbott, and P.G. Taylor The paradox of Parrondo's games Proc Roy Soc 456 2000 247 259
20. C.R. Doering Randomly rattled ratchets Nuovo Cimento D 17 1995 685 697
21. C.R. Doering Stochastic ratchets Physica A 254 1998 1 6 (Pubitemid 128427691)
22. R.M. May Simple mathematical models with very complicated dynamics Nature 261 1976 459 467
23. M.P.S. Maier, and E. Peacock-López Switching induced oscillations in the logistic map Phys Lett A 374 2010 1028 1032
24. E. Peacock-López Seasonality as a Parrondian game Phys Lett A 375 2011 3124 3129
25. S. Bocaletti, C. Grebogi, Y-C. Lai, H. Mancini, and D. Maza The control of chaos: theory and applications Phys Rep 329 2000 103 197
26. M.A. Matías, and J. Gúémez Stabilization of chaos by proportional pulses in the system variables Phys Rev Lett 72 1994 1455 1458
27. N.P. Chau Controlling chaos by periodic proportional pulses Phys Lett A 234 1997 193 197 (Pubitemid 127399432)
28. F.M. Hilker, and F.H. Westerhoff Paradox of simple limiter control Phys Rev D 73 2006 052901
29. E. Liz How to control chaotic behaviour and population size with proportional feedback Phys Lett A 374 2010 725 728
30. J. Buceta, C. Escudero, F.J. de la Rubia, and K. Lindemberg Outbreak of Hantavirus induced by seasonality Phys Rev E 69 2004 021906