Anashkin, O. V.; Akhmetyev, P. M.; Balandin, D. V.; Barinova, M. K.; Bezdenezhnykh, A. N.; Belykh, V. N.; Vlasenko, I. Yu.; Galkin, O. E.; Galkina, S. Yu.; Glysin, S. D.; Gonchenko, S. V.; Gorodetski, A. S.; Gubina, E. V.; Gurevich, E. Ya.; Davydov, A. A.; Yefremov, L. S.; Zhirov, A. Yu.; Zhuzhoma, E. V.; Zhukova, N. I.; Zinina, S. Kh.; Ilyashenko, Yu. S.; Isaenkova, N. V.; Kazakov, A. O.; Klimenko, A. V.; Komech, S. A.; Kordyukov, Yu. A.; Kruglov, V. E.; Kruglov, E. V.; Lando, S. K.; Levchenko, Yu. A.; Lerman, L. M.; Maksimenko, S. I.; Malkin, M. I.; Malyshev, D. S.; Mamaev, V. K.; Mamedova, T. F.; Medvedev, V. S.; Medvedev, T. V.; Mints, D. I.; Mitryakova, T. M.; Morosov, A. D.; Morosov, A. I.; Nozdrinova, E. V.; Pelinovskii, E. N.; Pesin, Ya. B.; Pikovskii, A. S.; Pilygin, S. Yu.; Polotovskii, G. M.; Pochinka, O. V.; Remizov, I. D.; Ryabov, P. E.; Skripchenko, A. S.; Slyunyaev, A. V.; Sokolov, S. V.; Sukharev, L. A.; Talanova, E. A.; Timorin, V. A.; Tikhomirov, S. B.; Treschev, D. V.; Turaev, D. V.; Chebochko, N. G.; Chilina, E. E.; Shamanaev, P. A.; Shubin, D. D.; Yakovlev, E. I. Vyacheslav Zigmundovich Grines. To his 75th birthday. (English) Zbl 1483.01017 Russ. J. Nonlinear Dyn. 17, No. 4, 363-367 (2021). MSC: 01A70 PDFBibTeX XMLCite \textit{O. V. Anashkin} et al., Russ. J. Nonlinear Dyn. 17, No. 4, 363--367 (2021; Zbl 1483.01017) Full Text: DOI MNR
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L. Some elements for a history of the dynamical systems theory. (English) Zbl 1462.37002 Chaos 31, No. 5, Article ID 053110, 20 p. (2021). MSC: 37-03 37D45 01A60 PDFBibTeX XMLCite \textit{C. Letellier} et al., Chaos 31, No. 5, Article ID 053110, 20 p. (2021; Zbl 1462.37002) Full Text: DOI HAL
Bolotov, Dmitry; Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady Twisted states in a system of nonlinearly coupled phase oscillators. (English) Zbl 1442.45003 Regul. Chaotic Dyn. 24, No. 6, 717-724 (2019). MSC: 45J05 34C15 PDFBibTeX XMLCite \textit{D. Bolotov} et al., Regul. Chaotic Dyn. 24, No. 6, 717--724 (2019; Zbl 1442.45003) Full Text: DOI
Sysoev, Ilya V.; Ponomarenko, Vladimir I.; Pikovsky, Arkady Reconstruction of coupling architecture of neural field networks from vector time series. (English) Zbl 1510.92023 Commun. Nonlinear Sci. Numer. Simul. 57, 342-351 (2018). MSC: 92B20 PDFBibTeX XMLCite \textit{I. V. Sysoev} et al., Commun. Nonlinear Sci. Numer. Simul. 57, 342--351 (2018; Zbl 1510.92023) Full Text: DOI
Goldobin, Denis S.; Tyulkina, Irina V.; Klimenko, Lyudmila S.; Pikovsky, Arkady Collective mode reductions for populations of coupled noisy oscillators. (English) Zbl 1400.34053 Chaos 28, No. 10, 101101, 6 p. (2018). MSC: 34C15 34C60 PDFBibTeX XMLCite \textit{D. S. Goldobin} et al., Chaos 28, No. 10, 101101, 6 p. (2018; Zbl 1400.34053) Full Text: DOI arXiv
Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady Simple and complex Chimera states in a nonlinearly coupled oscillatory medium. (English) Zbl 1390.34124 Chaos 28, No. 4, 045101, 9 p. (2018). MSC: 34C60 34C15 34D20 PDFBibTeX XMLCite \textit{M. Bolotov} et al., Chaos 28, No. 4, 045101, 9 p. (2018; Zbl 1390.34124) Full Text: DOI
Aronson, Igor S. (ed.); Pikovsky, Arkady (ed.); Rulkov, Nikolai F. (ed.); Tsimring, Lev S. (ed.) Advances in dynamics, patterns, cognition. Challenges in complexity. (English) Zbl 1372.37004 Nonlinear Systems and Complexity 20. Cham: Springer (ISBN 978-3-319-53672-9/hbk; 978-3-319-53673-6/ebook). xix, 329 p. (2017). MSC: 37-06 34-06 93-06 00A69 00B15 PDFBibTeX XMLCite \textit{I. S. Aronson} (ed.) et al., Advances in dynamics, patterns, cognition. Challenges in complexity. Cham: Springer (2017; Zbl 1372.37004) Full Text: DOI
Vlasov, Vladimir; Rosenblum, Michael; Pikovsky, Arkady Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe-Strogatz integrability. (English) Zbl 1347.34055 J. Phys. A, Math. Theor. 49, No. 31, Article ID 31LT02, 8 p. (2016). MSC: 34C15 34E10 34F05 34A05 PDFBibTeX XMLCite \textit{V. Vlasov} et al., J. Phys. A, Math. Theor. 49, No. 31, Article ID 31LT02, 8 p. (2016; Zbl 1347.34055) Full Text: DOI arXiv
Vlasov, Vladimir; Pikovsky, Arkady; Macau, Elbert E. N. Star-type oscillatory networks with generic Kuramoto-type coupling: a model for “Jpanese drums synchrony”. (English) Zbl 1374.34123 Chaos 25, No. 12, 123120, 13 p. (2015). MSC: 34C15 34D06 34D20 34C60 PDFBibTeX XMLCite \textit{V. Vlasov} et al., Chaos 25, No. 12, 123120, 13 p. (2015; Zbl 1374.34123) Full Text: DOI arXiv
Vlasov, Vladimir; Komarov, Maxim; Pikovsky, Arkady Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling. (English) Zbl 1329.60232 J. Phys. A, Math. Theor. 48, No. 10, Article ID 105101, 16 p. (2015). MSC: 60H30 35Q84 60H40 PDFBibTeX XMLCite \textit{V. Vlasov} et al., J. Phys. A, Math. Theor. 48, No. 10, Article ID 105101, 16 p. (2015; Zbl 1329.60232) Full Text: DOI arXiv
Vlasov, Vladimir; Macau, Elbert E. N.; Pikovsky, Arkady Synchronization of oscillators in a Kuramoto-type model with generic coupling. (English) Zbl 1345.34065 Chaos 24, No. 2, 023120, 7 p. (2014). MSC: 34C15 34D06 34C60 34F05 PDFBibTeX XMLCite \textit{V. Vlasov} et al., Chaos 24, No. 2, 023120, 7 p. (2014; Zbl 1345.34065) Full Text: DOI arXiv
Katzorke, I.; Pikovsky, A. Dynamics between order and chaos in a simple reentrant model of production dynamics. (English) Zbl 1064.37521 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 5, 1343-1351 (2003). MSC: 37N40 90B30 PDFBibTeX XMLCite \textit{I. Katzorke} and \textit{A. Pikovsky}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 5, 1343--1351 (2003; Zbl 1064.37521) Full Text: DOI
Katzorke, I.; Pikovsky, A. Chaos and complexity in a simple model of production dynamics. (English) Zbl 0973.91053 Discrete Dyn. Nat. Soc. 5, No. 3, 179-187 (2000). MSC: 91B38 37N40 68Q25 PDFBibTeX XMLCite \textit{I. Katzorke} and \textit{A. Pikovsky}, Discrete Dyn. Nat. Soc. 5, No. 3, 179--187 (2000; Zbl 0973.91053) Full Text: DOI EuDML
Pikovskij, I. E. Existence and uniqueness of a strong solution of a stochastic integral equation of Itô-Volterra type. (English. Russian original) Zbl 0709.60065 Theory Probab. Math. Stat. 41, 115-120 (1990); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 96-101 (1989). MSC: 60H20 45D05 60G17 PDFBibTeX XMLCite \textit{I. E. Pikovskij}, Theory Probab. Math. Stat. 41, 115--120 (1990; Zbl 0709.60065); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 96--101 (1989)
Pikovskij, I. E. Multiple stochastic integrals and their application to the solution of an Itô-Volterra stochastic integral equation. (English. Russian original) Zbl 0749.60062 Theory Probab. Math. Stat. 43, 131-137 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 117-123 (1990). Reviewer: E.Dettweiler (Reutlingen) MSC: 60H20 60H05 45D05 PDFBibTeX XMLCite \textit{I. E. Pikovskij}, Theory Probab. Math. Stat. 43, 131--137 (1990; Zbl 0749.60062); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 117--123 (1990)
Pikovs’kij, I. Yu. Stochastic integration of a class of Itô-Volterra kernels. (Ukrainian) Zbl 0900.60069 Vīsn. Kiïv. Unīv., Mat. Mekh. 32, 103-108 (1990). MSC: 60H05 PDFBibTeX XMLCite \textit{I. Yu. Pikovs'kij}, Visn. Kyïv. Univ., Mat. Mekh. 32, 103--108 (1990; Zbl 0900.60069)
Pikovskij, I. E. Existence and uniqueness of the strong solution for a stochastic integral equation of Ito-Volterra type. (Russian) Zbl 0696.60059 Teor. Veroyatn. Mat. Stat., Kiev 41, 96-101 (1989). Reviewer: I.Pikovskij MSC: 60H20 PDFBibTeX XMLCite \textit{I. E. Pikovskij}, Teor. Veroyatn. Mat. Stat., Kiev 41, 96--101 (1989; Zbl 0696.60059)
Pikovsky, Arkady S.; Rabinovich, Mikhail I. Stochastic oscillations in dissipative systems. (English) Zbl 1194.37062 Physica D 2, No. 1, 8-24 (1981). MSC: 37D45 PDFBibTeX XMLCite \textit{A. S. Pikovsky} and \textit{M. I. Rabinovich}, Physica D 2, No. 1, 8--24 (1981; Zbl 1194.37062) Full Text: DOI
Pikovskij, A. S.; Rabinovich, M. I. Stochastic behavior of dissipative systems. (English) Zbl 0545.70032 Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 2, 165-206 (1981). Reviewer: W.Wreszinski MSC: 70K50 37D45 70-02 37C70 37G15 PDFBibTeX XMLCite \textit{A. S. Pikovskij} and \textit{M. I. Rabinovich}, Sov. Sci. Rev., Sect. C 2, 165--206 (1981; Zbl 0545.70032)