Abstract
This topical issue collects contributions exemplifying the recent scientific progress in understanding the dynamics of multistable systems. The individual papers focus on different questions of present day interest in theory and applications of systems with multiple attractors. The particular attention is paid to uncovering and characterizing hidden attractors. Both theoretical and experimental studies are presented.
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References
U. Feudel, Int. J. Bif. Chaos 18, 1607 (2008)
M.D. Shrimali, A. Prasad, R. Ramaswamy, U. Feudel, Int. J. Bif. Chaos 18, 1675 (2008)
S. Kraut, U. Feudel, Phys. Rev. E 66, 015207 (2002)
A.N. Pisarchik, U. Feudel, Phys. Rep. 540, 167 (2014)
A. Chudzik, P. Perlikowski, A. Stefanski, T. Kapitaniak, Int. J. Bif. Chaos, 21, 1907 (2011)
S.L.T. de Souza, A.M. Batista, I.L. Caldas, R.L. Viana, T. Kapitaniak Chaos, Solitons Fractals 32, 758 (2007)
B. Blazejczyk-Okolewska, T. Kapitaniak Chaos, Solitons Fractals 9, 1439 (1998)
B. Blazejczyk-Okolewska, T. Kapitaniak Solitons Fractals 7, 1455 (1996)
T. Kapitaniak, Phys. Rev E 47, 1408 (1993)
T. Kapitaniak, J. Sound Vibration 102, 440 (1985)
A. Silchenko, T. Kapitaniak, V.S. Anishchenko, Phys. Rev. E 59, 1593 (1999)
H.E. Nusse, J.A. Yorke, E.J. Kostelich, Dynamics: Numerical Explorations (Springer, New York, 1994)
T.S. Parker, L.O. Chua, Numerical Algorithms for Chaotic Systems (Springer, New York, 1989)
N.V. Kuznetsov, G.A. Leonov, V.I. Vagaitsev, Analytical numerical method for attractor localization of generalized Chua’s system, IFAC Proceedings Volumes (IFAC-PapersOnline) 4, 29 (2010)
G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Phys. Lett. A 375, 2230 (2011)
G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Physica D 241, 1482 (2012)
G.A. Leonov, N.V. Kuznetsov, Int. J. Bif. Chaos 23, 12330002 (2013)
M. Molaie, S. Jafari, J.C. Sprott, S.M.R.H., Int. J. Bif. Chaos 23, 1350188 (2013)
S. Jafari, J.C. Sprott, Solitons Fractals 57, 79 (2013)
A. Kuznetsov, S. Kuznetsov, E. Mosekilde, N. Stankevich, J. Phys. A: Math. Gen. 48, 125101 (2015)
V.-T. Pham, S. Jafari, C. Volos, X. Wang, S.M.R.H. Golpayegani, Int. J. Bif. Chaos 24, 1450146 (2014)
V.-T. Pham, C. Volos, S. Jafari, Z. Wei, X. Wang, Int. J. Bif. Chaos 24, 1450073 (2014)
Z. Wei, Phys. Lett. A 376, 102 (2011)
J.C. Sprott, Phys. Lett. A 378, 1361 (2014)
U. Chaudhuri, A. Prasad, Phys. Lett. A 378, 713 (2014)
V. Bragin, V. Vagaitsev, N.V. Kuznetsov, G.A. Leonov, J. Comput. Syst. Sci. Inter. 50, 511 (2011)
G.A. Leonov, N.V. Kuznetsov, Doklady Math. 84, 475 (2011)
J.C. Sprott, Eur. Phys. J. Special Topics 224(8), 1409 (2015)
G.A. Leonov, N.V. Kuznetsov, T.N. Mokaev, Eur. Phys. J. Special Topics 224(8), 1421 (2015)
S. Brezetskyi, D. Dudkowski, T. Kapitaniak, Eur. Phys. J. Special Topics 224(8), 1459 (2015)
S. Jafari, J.C. Sprott, F. Nazarimehr, Eur. Phys. J. Special Topics 224(8), 1469 (2015)
A.N. Pisarchik, I.A. Bashkirtseva, L.B. Ryashko, Eur. Phys. J. Special Topics 224(8), 1477 (2015)
P.R. Sharma, M.D. Shrimali, A. Prasad, N.V. Kuznetsov, G.A. Leonov, Eur. Phys. J. Special Topics 224(8), 1485 (2015)
Ch. Li, W. Hu, J.C. Sprott, X. Wang, Eur. Phys. J. Special Topics 224(8), 1493 (2015)
V.-T. Pham, S. Vaidyanathan, C.K. Volos, S. Jafari, Eur. Phys. J. Special Topics 224(8), 1507 (2015)
Z.T. Zhusubaliyev, E. Mosekilde, A.N. Churilov, A. Medvedev, Eur. Phys. J. Special Topics 224(8), 1519 (2015)
P. Jaros, P. Perlikowski, T. Kapitaniak, Eur. Phys. J. Special Topics 224(8), 1541 (2015)
T.E. Vadivasova, V.S. Anishchenko, et al., Eur. Phys. J. Special Topics 224(8), 1553 (2015)
P. Saha, D.C. Saha, A. Ray, A.R. Chowdhury, Eur. Phys. J. Special Topics 224(8), 1563 (2015)
S. Vaidyanathan, V.-T. Pham, C.K. Volos, Eur. Phys. J. Special Topics 224(8), 1575 (2015)
Y. Feng, J. Pu, Z. Wei, Eur. Phys. J. Special Topics 224(8), 1593 (2015)
P. Jaros, L. Borkowski, B. Witkowski, K. Czolczynski, T. Kapitaniak, Eur. Phys. J. Special Topics 224(8), 1605 (2015)
Y. Feng, Z. Wei, Eur. Phys. J. Special Topics 224(8), 1619 (2015)
M. Shahzad, V.-T. Pham, A. Ayad Ahmad, S. Jafari, F. Hadaeghi, Eur. Phys. J. Special Topics 224(8), 1637 (2015)
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Kapitaniak, T., Leonov, G.A. Multistability: Uncovering hidden attractors. Eur. Phys. J. Spec. Top. 224, 1405–1408 (2015). https://doi.org/10.1140/epjst/e2015-02468-9
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DOI: https://doi.org/10.1140/epjst/e2015-02468-9