Bashkirtseva, Irina; Pisarchik, Alexander N.; Ryashko, Lev Multistability and stochastic dynamics of Rulkov neurons coupled via a chemical synapse. (English) Zbl 1527.92014 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107383, 10 p. (2023). MSC: 92C20 39A33 39A28 PDFBibTeX XMLCite \textit{I. Bashkirtseva} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107383, 10 p. (2023; Zbl 1527.92014) Full Text: DOI
Wang, Wenrui; Zhou, Wei; Xia, Libin Dynamic evolution, synchronization and multistability in an advertising game model with homogeneous products and spillover effect. (English) Zbl 1448.37130 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050144, 22 p. (2020). MSC: 37N40 39A60 91A80 91B54 PDFBibTeX XMLCite \textit{W. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050144, 22 p. (2020; Zbl 1448.37130) Full Text: DOI
Rybalova, E.; Strelkova, G.; Schöll, E.; Anishchenko, V. Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps. (English) Zbl 1440.39002 Chaos 30, No. 6, 061104, 10 p. (2020). MSC: 39A12 34C60 34C15 34C28 PDFBibTeX XMLCite \textit{E. Rybalova} et al., Chaos 30, No. 6, 061104, 10 p. (2020; Zbl 1440.39002) Full Text: DOI Link
Bukh, Andreĭ V.; Anishchenko, Vadim S. Features of the synchronization of spiral wave structures in interacting lattices of nonlocally coupled maps. (English) Zbl 1447.37066 Russ. J. Nonlinear Dyn. 16, No. 2, 243-257 (2020). MSC: 37L60 39A14 39A12 34K24 PDFBibTeX XMLCite \textit{A. V. Bukh} and \textit{V. S. Anishchenko}, Russ. J. Nonlinear Dyn. 16, No. 2, 243--257 (2020; Zbl 1447.37066) Full Text: DOI MNR
Bashkirtseva, I.; Ryashko, Lev Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps. (English) Zbl 1448.39029 Chaos Solitons Fractals 126, 78-84 (2019). MSC: 39A33 37H10 39A50 37G35 37M05 PDFBibTeX XMLCite \textit{I. Bashkirtseva} and \textit{L. Ryashko}, Chaos Solitons Fractals 126, 78--84 (2019; Zbl 1448.39029) Full Text: DOI
Bukh, Andrei; Strelkova, Galina; Anishchenko, Vadim Spiral wave patterns in a two-dimensional lattice of nonlocally coupled maps modeling neural activity. (English) Zbl 1448.39030 Chaos Solitons Fractals 120, 75-82 (2019). MSC: 39A33 39A12 34A33 PDFBibTeX XMLCite \textit{A. Bukh} et al., Chaos Solitons Fractals 120, 75--82 (2019; Zbl 1448.39030) Full Text: DOI
Danca, Marius-F.; Fečkan, Michal Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system. (English) Zbl 1464.39014 Commun. Nonlinear Sci. Numer. Simul. 74, 1-13 (2019). MSC: 39A30 37N40 39A28 91B55 PDFBibTeX XMLCite \textit{M.-F. Danca} and \textit{M. Fečkan}, Commun. Nonlinear Sci. Numer. Simul. 74, 1--13 (2019; Zbl 1464.39014) Full Text: DOI arXiv
Rybalova, E.; Bukh, A.; Strelkova, G.; Anishchenko, V. Spiral and target wave chimeras in a 2D lattice of map-based neuron models. (English) Zbl 1426.37057 Chaos 29, No. 10, 101104, 7 p. (2019). MSC: 37L60 92B20 82C32 39A60 PDFBibTeX XMLCite \textit{E. Rybalova} et al., Chaos 29, No. 10, 101104, 7 p. (2019; Zbl 1426.37057) Full Text: DOI
Cao, Yinxia; Zhou, Wei; Chu, Tong; Chang, Yingxiang Global dynamics and synchronization in a duopoly game with bounded rationality and consumer surplus. (English) Zbl 1432.39009 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 11, Article ID 1930031, 22 p. (2019). MSC: 39A60 39A10 39A28 91A25 91A26 PDFBibTeX XMLCite \textit{Y. Cao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 11, Article ID 1930031, 22 p. (2019; Zbl 1432.39009) Full Text: DOI
Bashkirtseva, Irina; Nasyrova, Venera; Ryashko, Lev Noise-induced bursting and chaos in the two-dimensional Rulkov model. (English) Zbl 1391.37058 Chaos Solitons Fractals 110, 76-81 (2018). MSC: 37N25 39A50 39A60 39A33 PDFBibTeX XMLCite \textit{I. Bashkirtseva} et al., Chaos Solitons Fractals 110, 76--81 (2018; Zbl 1391.37058) Full Text: DOI
Gokul, P. M.; Kapitaniak, Tomasz; Ghosh, Anandamohan Mixed synchronization in the presence of cyclic chaos. (English) Zbl 1390.39046 Edelman, Mark (ed.) et al., Chaotic, fractional, and complex dynamics: new insights and perspectives. Cham: Springer (ISBN 978-3-319-68108-5/hbk; 978-3-319-68109-2/ebook). Springer: Complexity; Understanding Complex Systems, 65-76 (2018). MSC: 39A30 34D06 39A33 PDFBibTeX XMLCite \textit{P. M. Gokul} et al., in: Chaotic, fractional, and complex dynamics: new insights and perspectives. Cham: Springer. 65--76 (2018; Zbl 1390.39046) Full Text: DOI
Golovneva, Olga; Jeter, Russell; Belykh, Igor; Porfiri, Maurizio Windows of opportunity for synchronization in stochastically coupled maps. (English) Zbl 1376.93116 Physica D 340, 1-13 (2017). MSC: 93E15 39A50 PDFBibTeX XMLCite \textit{O. Golovneva} et al., Physica D 340, 1--13 (2017; Zbl 1376.93116) Full Text: DOI
Watanabe, Tomohiko; Sugitani, Yoshiki; Konishi, Keiji; Hara, Naoyuki Stability analysis of amplitude death in delay-coupled high-dimensional map networks and their design procedure. (English) Zbl 1376.93065 Physica D 338, 26-33 (2017). MSC: 93C55 39A30 PDFBibTeX XMLCite \textit{T. Watanabe} et al., Physica D 338, 26--33 (2017; Zbl 1376.93065) Full Text: DOI
Gao, Shang; Li, Songsong; Wu, Boying Periodic solutions of discrete time periodic time-varying coupled systems on networks. (English) Zbl 1375.39034 Chaos Solitons Fractals 103, 246-255 (2017). MSC: 39A23 05C90 82C32 PDFBibTeX XMLCite \textit{S. Gao} et al., Chaos Solitons Fractals 103, 246--255 (2017; Zbl 1375.39034) Full Text: DOI
Porfiri, Maurizio; Belykh, Igor Memory matters in synchronization of stochastically coupled maps. (English) Zbl 1376.37101 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1372-1396 (2017). MSC: 37H10 39A12 PDFBibTeX XMLCite \textit{M. Porfiri} and \textit{I. Belykh}, SIAM J. Appl. Dyn. Syst. 16, No. 3, 1372--1396 (2017; Zbl 1376.37101) Full Text: DOI
Ouannas, Adel; Al-Sawalha, M. Mossa Synchronization of chaotic dynamical systems in discrete-time. (English) Zbl 1359.39010 Azar, Ahmad Taher (ed.) et al., Advances in chaos theory and intelligent control. Cham: Springer (ISBN 978-3-319-30338-3/hbk; 978-3-319-30340-6/ebook). Studies in Fuzziness and Soft Computing 337, 101-132 (2016). MSC: 39A33 PDFBibTeX XMLCite \textit{A. Ouannas} and \textit{M. M. Al-Sawalha}, Stud. Fuzziness Soft Comput. 337, 101--132 (2016; Zbl 1359.39010) Full Text: DOI
Tang, Longkun; Wu, Xiaoqun; Lü, Jinhu; Lu, Jun-an Bifurcation behaviors of synchronized regions in logistic map networks with coupling delay. (English) Zbl 1374.39020 Chaos 25, No. 3, 033101, 8 p. (2015). MSC: 39A28 PDFBibTeX XMLCite \textit{L. Tang} et al., Chaos 25, No. 3, 033101, 8 p. (2015; Zbl 1374.39020) Full Text: DOI
Liu, Meng; Shao, Yingying; Fu, Xinchu Complete synchronization on multi-layer center dynamical networks. (English) Zbl 1198.37051 Chaos Solitons Fractals 41, No. 5, 2584-2591 (2009). MSC: 37D45 39A30 PDFBibTeX XMLCite \textit{M. Liu} et al., Chaos Solitons Fractals 41, No. 5, 2584--2591 (2009; Zbl 1198.37051) Full Text: DOI
López-Ruiz, Ricardo; Fournier-Prunaret, Danièle Periodic and chaotic events in a discrete model of logistic type for the competitive interaction of two species. (English) Zbl 1198.37128 Chaos Solitons Fractals 41, No. 1, 334-347 (2009). MSC: 37N25 92D25 39A33 PDFBibTeX XMLCite \textit{R. López-Ruiz} and \textit{D. Fournier-Prunaret}, Chaos Solitons Fractals 41, No. 1, 334--347 (2009; Zbl 1198.37128) Full Text: DOI arXiv
Guo, Jin-li A difference equation approach to statistical mechanics of complex networks. (English) Zbl 1231.62096 Appl. Math. Mech., Engl. Ed. 30, No. 8, 1063-1068 (2009). MSC: 62H12 39A60 62M99 90B18 91D30 PDFBibTeX XMLCite \textit{J.-l. Guo}, Appl. Math. Mech., Engl. Ed. 30, No. 8, 1063--1068 (2009; Zbl 1231.62096) Full Text: DOI
Hu, Manfeng; Xu, Zhenyuan; Zhang, Rong Full state hybrid projective synchronization of a general class of chaotic maps. (English) Zbl 1221.34121 Commun. Nonlinear Sci. Numer. Simul. 13, No. 4, 782-789 (2008). MSC: 34C28 37N35 34D06 39A10 93C55 PDFBibTeX XMLCite \textit{M. Hu} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 4, 782--789 (2008; Zbl 1221.34121) Full Text: DOI