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Pikovsky, Arkady S.

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Author ID: pikovsky.arkady-s Recent zbMATH articles by "Pikovsky, Arkady S."
Published as: Pikovsky, Arkady; Pikovsky, A.; Pikovsky, Arkady S.; Pikovskij, A. S.; Pikovsky, A. S.; Pikovskij, Arkady S.; Pikovskii, A. S.; Pikovskij, Arkadij S.; Pikowsky, Arkady S.; Pikoskij, A. S.
Homepage: http://www.physik.uni-potsdam.de/index.php?&people_id=36&m=visitenkarte
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all top 5

Co-Authors

8 single-authored
27 Rosenblum, Michael G.
19 Kurths, Jürgen
10 Zaks, Michael A.
9 Feudel, Ulrike
8 Osipov, Grigory V.
6 Kuznetsov, Sergey P.
4 Goldobin, Denis S.
4 Politi, Antonio Z.
3 Komarov, Maxim A.
3 Macau, Elbert E. N.
3 Maistrenko, Yuri L.
3 Rosenau, Philip S.
3 Smirnov, Lev A.
3 Zheng, Chunming
2 Ahnert, Karsten
2 Bolotov, Maxim I.
2 Cimponeriu, Laura
2 Glendinning, Paul Alexander
2 Katzorke, I.
2 Kazakov, Alexey O.
2 Mulansky, Mario
2 Popovych, Oleksandr V.
2 Rabinovich, Mikhail I.
2 Rudzick, Oliver
2 Shepelyansky, Dima L.
2 Stark, Jaroslav F.
2 Tass, Peter Alexander
2 Turukina, Ludmila V.
1 Abel, Markus
1 Abraham, Ralph Herman
1 Ahlers, Volker
1 Akhmet’ev, Pëtr Mikhaĭlovich
1 Anashkin, Oleg V.
1 Aronson, Igor S.
1 Balandin, Dmitriĭ Vladimirovich
1 Barinova, M. K.
1 Belykh, Vladimir Nikitich
1 Bezdenezhnykh, A. N.
1 Bolotov, Dmitriĭ Valer’evich
1 Buckwar, Evelyn
1 Burylko, Oleksandr
1 Carroll, Thomas L.
1 Chaté, Hugues
1 Chebochko, N. G.
1 Chigarev, Vladimir
1 Chilina, E. E.
1 Davydov, Alekseĭ Aleksandrovich
1 Freitas, Celso
1 Freund, Hans Joachim
1 Galkin, Oleg Evgen’evich
1 Galkina, Svetlana Yur’evna
1 Gengel, Erik
1 Gilmore, Robert
1 Glass, Leon
1 Glysin, S. D.
1 Goldschmidt, Richard Janis
1 Gonchenko, Sergey V.
1 Gong, Chen Chris
1 Gorodetskii, Anton Semenovich
1 Grassberger, Peter
1 Grebogi, Celso
1 Grines, Evgeny A.
1 Gubina, Elena V.
1 Gurevich, Elena Ya.
1 Holmes, Philip J.
1 Ilyashenko, Yulij Sergeevich
1 Isaenkova, Natal’ya Viktorovna
1 Klimenko, Alexey V.
1 Klimenko, Lyudmila S.
1 Komech, S. A.
1 Kordyukov, Yuri A.
1 Kralemann, Björn
1 Kruglov, Evgeniĭ Valentinovich
1 Kruglov, Vladislav E.
1 Kruglov, Vyacheslav Pavlovich
1 Kuznetsov, Aleksandr Petrovich
1 Lando, Sergei K.
1 Lepri, Stefano
1 Lerman, Lev
1 Letellier, Christophe
1 Levanova, Tatiana A.
1 Levchenko, Yulia A.
1 Lozi, René
1 Maksymenko, Sergiĭ Ivanovych
1 Malkin, Mikhail Iosifovich
1 Malyshev, Dmitriĭ Sergeevich
1 Mamaev, V. K.
1 Mamedova, T. F.
1 Medvedev, Timur V.
1 Medvedev, Vladislav Sergeevich
1 Mints, D. I.
1 Mitryakova, T. M.
1 Montaseri, Ghazal
1 Morosov, A. D.
1 Morosov, A. I.
1 Mosekilde, Erik
1 Nagornov, Roman
1 Nozdrinova, Elena V.
1 Olsen, Lars Folke
1 Parlitz, Ulrich
...and 50 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 2,026 times in 1,669 Documents Cited by Year
Synchronization: a universal concept in nonlinear sciences. Zbl 0993.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
672
2001
Synchronization: a universal concept in nonlinear sciences. Reprint of the 2001 hardback edition. Zbl 1219.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
288
2003
Coherence resonance in a noise-driven excitable system. Zbl 0961.70506
Pikovsky, Arkady S.; Kurths, Jürgen
178
1997
Phase synchronization of chaotic oscillators by external driving. Zbl 0898.70015
Pikovsky, Arkady S.; Rosenblum, Michael G.; Osipov, Grigory V.; Kurths, Jürgen
75
1997
Lyapunov exponents. A tool to explore complex dynamics. Zbl 1419.37002
Pikovsky, Arkady; Politi, Antonio
52
2016
Phase synchronization in noisy and chaotic oscillators. Zbl 0896.60090
Rosenblum, Michael; Pikovsky, Arkady; Kurths, Jürgen
49
1997
Characterizing strange nonchaotic attractors. Zbl 1055.37519
Pikovsky, Arkady S.; Feudel, Ulrike
43
1995
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
42
2015
Strange nonchaotic attrators. Dynamics between order and chaos in quasiperiodically forced systems. Zbl 1101.37018
Feudel, Ulrike; Kuznetsov, Sergey; Pikovsky, Arkady
34
2006
Dynamics of heterogeneous oscillator ensembles in terms of collective variables. Zbl 1233.37014
Pikovsky, Arkady; Rosenblum, Michael
33
2011
Strange non-chaotic attractor in a quasiperiodically forced circle map. Zbl 0894.58042
Feudel, Ulrike; Kurths, Jürgen; Pikovsky, Arkady S.
32
1995
Symmetry breaking bifurcation for coupled chaotic attractors. Zbl 0766.58031
Pikovskij, Arkady S.; Grassberger, Peter
29
1991
Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators. Zbl 1153.37403
Pikovsky, Arkady; Rosenblum, Michael
25
2009
Reversibility vs. synchronization in oscillator lattices. Zbl 1029.70005
Topaj, Dmitri; Pikovsky, Arkady
24
2002
Phase synchronization of chaotic oscillations in terms of periodic orbits. Zbl 0933.37034
Pikovsky, Arkady; Zaks, Michael; Rosenblum, Michael; Osipov, Grigory; Kurths, Jürgen
23
1997
Phase compactons. Zbl 1107.34034
Pikovsky, Arkady; Rosenau, Philip
23
2006
Autonomous coupled oscillators with hyperbolic strange attractors. Zbl 1128.34024
Kuznetsov, Sergey P.; Pikovsky, Arkady
21
2007
Correlations and spectra of strange non-chaotic attractors. Zbl 0843.58093
Pikovsky, Arkady S.; Feudel, Ulrike
20
1994
Phase synchronization in regular and chaotic systems. Zbl 1090.37508
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
20
2000
Birth of strange nonchaotic attractors due to interior crisis. Zbl 0925.58056
Witt, Annette; Feudel, Ulrike; Pikovsky, Arkady
17
1997
Renormalization of correlations and spectra of a strange non-chaotic attractor. Zbl 0905.58018
Feudel, Ulrike; Pikovsky, Arkady; Politi, Antonio
13
1996
Rotation numbers for quasi-periodically forced monotone circle maps. Zbl 1047.37025
Stark, J.; Feudel, U.; Glendinning, P. A.; Pikovsky, A.
12
2002
Reconstructing phase dynamics of oscillator networks. Zbl 1317.34057
Kralemann, Björn; Pikovsky, Arkady; Rosenblum, Michael
11
2011
The structure of mode-locked regions in quasi-periodically forced circle maps. Zbl 0983.37044
Glendinning, P.; Feudel, U.; Pikovsky, A. S.; Stark, J.
11
2000
Traveling waves and compactons in phase oscillator lattices. Zbl 1309.34051
Ahnert, Karsten; Pikovsky, Arkady
11
2008
Antireliability of noise-driven neurons. Zbl 1244.92007
Goldobin, Denis S.; Pikovsky, Arkady
10
2006
Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback. Zbl 1323.34072
Montaseri, Ghazal; Javad Yazdanpanah, Mohammad; Pikovsky, Arkady; Rosenblum, Michael
10
2013
Numerical phase reduction beyond the first order approximation. Zbl 1406.34076
Rosenblum, Michael; Pikovsky, Arkady
10
2019
Comment on: ”Noisy uncoupled chaotic map ensembles violate the law of large numbers” by S. Sinha. Zbl 1051.37509
Pikovsky, Arkady S.
9
1993
Forcing oscillatory media: phase kinks vs. synchronization. Zbl 1076.70514
Chaté, Hugues; Pikovsky, Arkady; Rudzick, Oliver
9
1999
Dynamic localization of Lyapunov vectors in spacetime chaos. Zbl 0906.58028
Pikovsky, Arkady; Politi, Antonio
9
1998
Chimera patterns in the Kuramoto-Battogtokh model. Zbl 1393.45007
Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
9
2017
Characterizing strange nonchaotic attractors. Zbl 0989.37509
Feudel, U.; Pikovsky, A. S.
8
1995
Desynchronization transitions in nonlinearly coupled phase oscillators. Zbl 1235.34111
Burylko, Oleksandr; Pikovsky, Arkady
8
2011
Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems. Zbl 1252.82033
Mulansky, M.; Ahnert, K.; Pikovsky, A.; Shepelyansky, D. L.
8
2011
Delayed feedback suppression of collective rhythmic activity in a neuronal ensemble. Zbl 1154.92307
Rosenblum, Michael; Tukhlina, Natalia; Pikovsky, Arkady; Cimponeriu, Laura
8
2006
Synchronization of oscillators in a Kuramoto-type model with generic coupling. Zbl 1345.34065
Vlasov, Vladimir; Macau, Elbert E. N.; Pikovsky, Arkady
7
2014
Universality and scaling of period-doubling bifurcations in a dissipative distributed medium. Zbl 0596.58033
Kuznetsov, S. P.; Pikovskij, A. S.
7
1986
Coherence of noisy oscillators with delayed feedback. Zbl 1031.37074
Goldobin, D.; Rosenblum, M.; Pikovsky, A.
7
2003
Collective behavior in ensembles of globally coupled maps. Zbl 0813.34045
Pikovsky, Arkady S.; Kurths, Jürgen
7
1994
On the correlation dimension of the spectral measure for the Thue-Morse sequence. Zbl 0923.11111
Zaks, Michael A.; Pikovsky, Arkady S.; Kurths, Jürgen
7
1997
Star-type oscillatory networks with generic Kuramoto-type coupling: a model for “Jpanese drums synchrony”. Zbl 1374.34123
Vlasov, Vladimir; Pikovsky, Arkady; Macau, Elbert E. N.
7
2015
Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe-Strogatz integrability. Zbl 1347.34055
Vlasov, Vladimir; Rosenblum, Michael; Pikovsky, Arkady
7
2016
The Kuramoto model of coupled oscillators with a bi-harmonic coupling function. Zbl 1364.34047
Komarov, M.; Pikovsky, A.
7
2014
Universal scenarios of transition to chaos via homoclinic bifurcations. Zbl 0677.58031
Lyubimov, D. V.; Pikovskij, A. S.; Zaks, M. A.
6
1989
Cluster-splitting bifurcation in a system of coupled maps. Zbl 0998.82505
Popovych, O.; Pikovsky, A.; Maistrenko, Yu.
6
2002
Chaos and complexity in a simple model of production dynamics. Zbl 0973.91053
Katzorke, I.; Pikovsky, A.
6
2000
Collective mode reductions for populations of coupled noisy oscillators. Zbl 1400.34053
Goldobin, Denis S.; Tyulkina, Irina V.; Klimenko, Lyudmila S.; Pikovsky, Arkady
6
2018
Stochastic oscillations in dissipative systems. Zbl 1194.37062
Pikovsky, Arkady S.; Rabinovich, Mikhail I.
6
1981
Local Lyapunov exponents for spatiotemporal chaos. Zbl 1055.37545
Pikovsky, Arkady S.
5
1993
Attractor of Smale-Williams type in an autonomous distributed system. Zbl 1335.37014
Kruglov, Vyacheslav P.; Kuznetsov, Sergey P.; Pikovsky, Arkady
5
2014
Simple and complex Chimera states in a nonlinearly coupled oscillatory medium. Zbl 1390.34124
Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
5
2018
Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. Zbl 1455.37040
Chigarev, Vladimir; Kazakov, Alexey; Pikovsky, Arkady
4
2020
Dynamics of multi-frequency oscillator ensembles with resonant coupling. Zbl 1250.34031
Lück, S.; Pikovsky, A.
4
2011
Partial synchronization in networks of non-linearly coupled oscillators: the Deserter Hubs Model. Zbl 1374.34105
Freitas, Celso; Macau, Elbert; Pikovsky, Arkady
4
2015
Nonreciprocal wave scattering on nonlinear string-coupled oscillators. Zbl 1361.34054
Lepri, Stefano; Pikovsky, Arkady
4
2014
Advances in dynamics, patterns, cognition. Challenges in complexity. Zbl 1372.37004
4
2017
Transcritical loss of synchronization in coupled chaotic systems. Zbl 1115.37318
Popovych, O.; Maistrenko, Yu.; Mosekilde, E.; Pikovsky, A.; Kurths, J.
4
2000
Reconstruction of a random phase dynamics network from observations. Zbl 1381.05067
Pikovsky, A.
3
2018
On the generalized dimensions for the Fourier spectrum of the Thue-Morse sequence. Zbl 0928.11013
Zaks, Michael A.; Pikovsky, Arkady S.; Kurths, Jürgen
3
1999
Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise. Zbl 1411.34063
Gong, Chen Chris; Zheng, Chunming; Toenjes, Ralf; Pikovsky, Arkady
3
2019
Chaos synchronization by nonlinear coupling. Zbl 1462.65220
Petereit, Johannes; Pikovsky, Arkady
2
2017
Some elements for a history of the dynamical systems theory. Zbl 1462.37002
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.
2
2021
Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators. Zbl 1242.34064
Turukina, L. V.; Pikovsky, A.
2
2011
Solitary phase waves in a chain of autonomous oscillators. Zbl 1464.34031
Rosenau, Philip; Pikovsky, Arkady
2
2020
Spreading of energy in the Ding-dong model. Zbl 1331.37114
Roy, S.; Pikovsky, A.
2
2012
Localization in a coupled standard map lattice. Zbl 0942.37019
Abel, Markus; Flach, S.; Pikovsky, A.
2
1998
Symbolic dynamics behind the singular continuous power spectra of continuous flows. Zbl 0937.37002
Zaks, Michael A.; Pikovsky, Arkady S.; Kurths, Jürgen
2
1998
Phase synchronization of regular and chaotic oscillators. Zbl 1098.37554
Pikovsky, A. S.; Rosenblum, M. G.; Zaks, M. A.; Kurths, J.
2
1999
Synchronization: Theory and application. Proceedings of the NATO Advanced Study Institute, Yalta, Crimea, Ukraine, May 19–June 1, 2002. Zbl 1017.00018
2
2003
Efficient determination of synchronization domains from observations of asynchronous dynamics. Zbl 1400.34073
Rosenblum, Michael; Pikovsky, Arkady
2
2018
Control of oscillators coherence by multiple delayed feedback. Zbl 1142.93415
Pawlik, Andreas H.; Pikovsky, Arkady
2
2006
Scaling of energy spreading in a disordered Ding-Dong lattice. Zbl 1457.82366
Pikovsky, A.
1
2020
Energy spreading in strongly nonlinear disordered lattices. Zbl 1451.34039
Mulansky, M.; Pikovsky, A.
1
2013
Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia. Zbl 1462.92033
Rosenblum, M.; Frühwirth, M.; Moser, M.; Pikovsky, A.
1
2019
Twisted states in a system of nonlinearly coupled phase oscillators. Zbl 1442.45003
Bolotov, Dmitry; Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
1
2019
Coherence properties of cycling chaos. Zbl 07175082
Levanova, T. A.; Osipov, G. V.; Pikovsky, A.
1
2014
Farey level separation in mode-locking structure of circle mappings. Zbl 0761.58037
Pikovskij, Arkadij S.; Zaks, Mikhail A.
1
1992
Escape exponent for transient chaos and chaotic scattering in non- hyperbolic Hamiltonian systems. Zbl 0760.58032
Pikovskij, Arkady S.
1
1992
Pattern formation induced by time-dependent advection. Zbl 1216.35009
Straube, A. V.; Pikovsky, A.
1
2011
Stochastic behavior of dissipative systems. Zbl 0545.70032
Pikovskij, A. S.; Rabinovich, M. I.
1
1981
Special issue: Stochastic dynamics with delay and memory. Selected papers based on the presentation at the workshop, Halle/Wittenberg, Germany, February 2–5, 2004. Zbl 1080.60500
1
2005
Stochastic bursting in unidirectionally delay-coupled noisy excitable systems. Zbl 1412.34229
Zheng, Chunming; Pikovsky, Arkady
1
2019
Dynamics of chaos-order interface in coupled map lattices. Zbl 1194.37063
Rudzick, Oliver; Pikovsky, Arkady; Scheffczyk, Christian; Kurths, Jürgen
1
1997
Collective phase chaos in the dynamics of interacting oscillator ensembles. Zbl 1311.34079
Kuznetsov, Sergey P.; Pikovsky, Arkady; Rosenblum, Michael
1
2010
Blinking Chimeras in globally coupled rotators. Zbl 1420.34074
Goldschmidt, Richard Janis; Pikovsky, Arkady; Politi, Antonio
1
2019
Some elements for a history of the dynamical systems theory. Zbl 1462.37002
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.
2
2021
Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. Zbl 1455.37040
Chigarev, Vladimir; Kazakov, Alexey; Pikovsky, Arkady
4
2020
Solitary phase waves in a chain of autonomous oscillators. Zbl 1464.34031
Rosenau, Philip; Pikovsky, Arkady
2
2020
Scaling of energy spreading in a disordered Ding-Dong lattice. Zbl 1457.82366
Pikovsky, A.
1
2020
Numerical phase reduction beyond the first order approximation. Zbl 1406.34076
Rosenblum, Michael; Pikovsky, Arkady
10
2019
Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise. Zbl 1411.34063
Gong, Chen Chris; Zheng, Chunming; Toenjes, Ralf; Pikovsky, Arkady
3
2019
Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia. Zbl 1462.92033
Rosenblum, M.; Frühwirth, M.; Moser, M.; Pikovsky, A.
1
2019
Twisted states in a system of nonlinearly coupled phase oscillators. Zbl 1442.45003
Bolotov, Dmitry; Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
1
2019
Stochastic bursting in unidirectionally delay-coupled noisy excitable systems. Zbl 1412.34229
Zheng, Chunming; Pikovsky, Arkady
1
2019
Blinking Chimeras in globally coupled rotators. Zbl 1420.34074
Goldschmidt, Richard Janis; Pikovsky, Arkady; Politi, Antonio
1
2019
Collective mode reductions for populations of coupled noisy oscillators. Zbl 1400.34053
Goldobin, Denis S.; Tyulkina, Irina V.; Klimenko, Lyudmila S.; Pikovsky, Arkady
6
2018
Simple and complex Chimera states in a nonlinearly coupled oscillatory medium. Zbl 1390.34124
Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
5
2018
Reconstruction of a random phase dynamics network from observations. Zbl 1381.05067
Pikovsky, A.
3
2018
Efficient determination of synchronization domains from observations of asynchronous dynamics. Zbl 1400.34073
Rosenblum, Michael; Pikovsky, Arkady
2
2018
Chimera patterns in the Kuramoto-Battogtokh model. Zbl 1393.45007
Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
9
2017
Advances in dynamics, patterns, cognition. Challenges in complexity. Zbl 1372.37004
4
2017
Chaos synchronization by nonlinear coupling. Zbl 1462.65220
Petereit, Johannes; Pikovsky, Arkady
2
2017
Lyapunov exponents. A tool to explore complex dynamics. Zbl 1419.37002
Pikovsky, Arkady; Politi, Antonio
52
2016
Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe-Strogatz integrability. Zbl 1347.34055
Vlasov, Vladimir; Rosenblum, Michael; Pikovsky, Arkady
7
2016
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
42
2015
Star-type oscillatory networks with generic Kuramoto-type coupling: a model for “Jpanese drums synchrony”. Zbl 1374.34123
Vlasov, Vladimir; Pikovsky, Arkady; Macau, Elbert E. N.
7
2015
Partial synchronization in networks of non-linearly coupled oscillators: the Deserter Hubs Model. Zbl 1374.34105
Freitas, Celso; Macau, Elbert; Pikovsky, Arkady
4
2015
Synchronization of oscillators in a Kuramoto-type model with generic coupling. Zbl 1345.34065
Vlasov, Vladimir; Macau, Elbert E. N.; Pikovsky, Arkady
7
2014
The Kuramoto model of coupled oscillators with a bi-harmonic coupling function. Zbl 1364.34047
Komarov, M.; Pikovsky, A.
7
2014
Attractor of Smale-Williams type in an autonomous distributed system. Zbl 1335.37014
Kruglov, Vyacheslav P.; Kuznetsov, Sergey P.; Pikovsky, Arkady
5
2014
Nonreciprocal wave scattering on nonlinear string-coupled oscillators. Zbl 1361.34054
Lepri, Stefano; Pikovsky, Arkady
4
2014
Coherence properties of cycling chaos. Zbl 07175082
Levanova, T. A.; Osipov, G. V.; Pikovsky, A.
1
2014
Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback. Zbl 1323.34072
Montaseri, Ghazal; Javad Yazdanpanah, Mohammad; Pikovsky, Arkady; Rosenblum, Michael
10
2013
Energy spreading in strongly nonlinear disordered lattices. Zbl 1451.34039
Mulansky, M.; Pikovsky, A.
1
2013
Spreading of energy in the Ding-dong model. Zbl 1331.37114
Roy, S.; Pikovsky, A.
2
2012
Dynamics of heterogeneous oscillator ensembles in terms of collective variables. Zbl 1233.37014
Pikovsky, Arkady; Rosenblum, Michael
33
2011
Reconstructing phase dynamics of oscillator networks. Zbl 1317.34057
Kralemann, Björn; Pikovsky, Arkady; Rosenblum, Michael
11
2011
Desynchronization transitions in nonlinearly coupled phase oscillators. Zbl 1235.34111
Burylko, Oleksandr; Pikovsky, Arkady
8
2011
Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems. Zbl 1252.82033
Mulansky, M.; Ahnert, K.; Pikovsky, A.; Shepelyansky, D. L.
8
2011
Dynamics of multi-frequency oscillator ensembles with resonant coupling. Zbl 1250.34031
Lück, S.; Pikovsky, A.
4
2011
Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators. Zbl 1242.34064
Turukina, L. V.; Pikovsky, A.
2
2011
Pattern formation induced by time-dependent advection. Zbl 1216.35009
Straube, A. V.; Pikovsky, A.
1
2011
Collective phase chaos in the dynamics of interacting oscillator ensembles. Zbl 1311.34079
Kuznetsov, Sergey P.; Pikovsky, Arkady; Rosenblum, Michael
1
2010
Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators. Zbl 1153.37403
Pikovsky, Arkady; Rosenblum, Michael
25
2009
Traveling waves and compactons in phase oscillator lattices. Zbl 1309.34051
Ahnert, Karsten; Pikovsky, Arkady
11
2008
Autonomous coupled oscillators with hyperbolic strange attractors. Zbl 1128.34024
Kuznetsov, Sergey P.; Pikovsky, Arkady
21
2007
Strange nonchaotic attrators. Dynamics between order and chaos in quasiperiodically forced systems. Zbl 1101.37018
Feudel, Ulrike; Kuznetsov, Sergey; Pikovsky, Arkady
34
2006
Phase compactons. Zbl 1107.34034
Pikovsky, Arkady; Rosenau, Philip
23
2006
Antireliability of noise-driven neurons. Zbl 1244.92007
Goldobin, Denis S.; Pikovsky, Arkady
10
2006
Delayed feedback suppression of collective rhythmic activity in a neuronal ensemble. Zbl 1154.92307
Rosenblum, Michael; Tukhlina, Natalia; Pikovsky, Arkady; Cimponeriu, Laura
8
2006
Control of oscillators coherence by multiple delayed feedback. Zbl 1142.93415
Pawlik, Andreas H.; Pikovsky, Arkady
2
2006
Special issue: Stochastic dynamics with delay and memory. Selected papers based on the presentation at the workshop, Halle/Wittenberg, Germany, February 2–5, 2004. Zbl 1080.60500
1
2005
Synchronization: a universal concept in nonlinear sciences. Reprint of the 2001 hardback edition. Zbl 1219.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
288
2003
Coherence of noisy oscillators with delayed feedback. Zbl 1031.37074
Goldobin, D.; Rosenblum, M.; Pikovsky, A.
7
2003
Synchronization: Theory and application. Proceedings of the NATO Advanced Study Institute, Yalta, Crimea, Ukraine, May 19–June 1, 2002. Zbl 1017.00018
2
2003
Reversibility vs. synchronization in oscillator lattices. Zbl 1029.70005
Topaj, Dmitri; Pikovsky, Arkady
24
2002
Rotation numbers for quasi-periodically forced monotone circle maps. Zbl 1047.37025
Stark, J.; Feudel, U.; Glendinning, P. A.; Pikovsky, A.
12
2002
Cluster-splitting bifurcation in a system of coupled maps. Zbl 0998.82505
Popovych, O.; Pikovsky, A.; Maistrenko, Yu.
6
2002
Synchronization: a universal concept in nonlinear sciences. Zbl 0993.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
672
2001
Phase synchronization in regular and chaotic systems. Zbl 1090.37508
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
20
2000
The structure of mode-locked regions in quasi-periodically forced circle maps. Zbl 0983.37044
Glendinning, P.; Feudel, U.; Pikovsky, A. S.; Stark, J.
11
2000
Chaos and complexity in a simple model of production dynamics. Zbl 0973.91053
Katzorke, I.; Pikovsky, A.
6
2000
Transcritical loss of synchronization in coupled chaotic systems. Zbl 1115.37318
Popovych, O.; Maistrenko, Yu.; Mosekilde, E.; Pikovsky, A.; Kurths, J.
4
2000
Forcing oscillatory media: phase kinks vs. synchronization. Zbl 1076.70514
Chaté, Hugues; Pikovsky, Arkady; Rudzick, Oliver
9
1999
On the generalized dimensions for the Fourier spectrum of the Thue-Morse sequence. Zbl 0928.11013
Zaks, Michael A.; Pikovsky, Arkady S.; Kurths, Jürgen
3
1999
Phase synchronization of regular and chaotic oscillators. Zbl 1098.37554
Pikovsky, A. S.; Rosenblum, M. G.; Zaks, M. A.; Kurths, J.
2
1999
Dynamic localization of Lyapunov vectors in spacetime chaos. Zbl 0906.58028
Pikovsky, Arkady; Politi, Antonio
9
1998
Localization in a coupled standard map lattice. Zbl 0942.37019
Abel, Markus; Flach, S.; Pikovsky, A.
2
1998
Symbolic dynamics behind the singular continuous power spectra of continuous flows. Zbl 0937.37002
Zaks, Michael A.; Pikovsky, Arkady S.; Kurths, Jürgen
2
1998
Coherence resonance in a noise-driven excitable system. Zbl 0961.70506
Pikovsky, Arkady S.; Kurths, Jürgen
178
1997
Phase synchronization of chaotic oscillators by external driving. Zbl 0898.70015
Pikovsky, Arkady S.; Rosenblum, Michael G.; Osipov, Grigory V.; Kurths, Jürgen
75
1997
Phase synchronization in noisy and chaotic oscillators. Zbl 0896.60090
Rosenblum, Michael; Pikovsky, Arkady; Kurths, Jürgen
49
1997
Phase synchronization of chaotic oscillations in terms of periodic orbits. Zbl 0933.37034
Pikovsky, Arkady; Zaks, Michael; Rosenblum, Michael; Osipov, Grigory; Kurths, Jürgen
23
1997
Birth of strange nonchaotic attractors due to interior crisis. Zbl 0925.58056
Witt, Annette; Feudel, Ulrike; Pikovsky, Arkady
17
1997
On the correlation dimension of the spectral measure for the Thue-Morse sequence. Zbl 0923.11111
Zaks, Michael A.; Pikovsky, Arkady S.; Kurths, Jürgen
7
1997
Dynamics of chaos-order interface in coupled map lattices. Zbl 1194.37063
Rudzick, Oliver; Pikovsky, Arkady; Scheffczyk, Christian; Kurths, Jürgen
1
1997
Renormalization of correlations and spectra of a strange non-chaotic attractor. Zbl 0905.58018
Feudel, Ulrike; Pikovsky, Arkady; Politi, Antonio
13
1996
Characterizing strange nonchaotic attractors. Zbl 1055.37519
Pikovsky, Arkady S.; Feudel, Ulrike
43
1995
Strange non-chaotic attractor in a quasiperiodically forced circle map. Zbl 0894.58042
Feudel, Ulrike; Kurths, Jürgen; Pikovsky, Arkady S.
32
1995
Characterizing strange nonchaotic attractors. Zbl 0989.37509
Feudel, U.; Pikovsky, A. S.
8
1995
Correlations and spectra of strange non-chaotic attractors. Zbl 0843.58093
Pikovsky, Arkady S.; Feudel, Ulrike
20
1994
Collective behavior in ensembles of globally coupled maps. Zbl 0813.34045
Pikovsky, Arkady S.; Kurths, Jürgen
7
1994
Comment on: ”Noisy uncoupled chaotic map ensembles violate the law of large numbers” by S. Sinha. Zbl 1051.37509
Pikovsky, Arkady S.
9
1993
Local Lyapunov exponents for spatiotemporal chaos. Zbl 1055.37545
Pikovsky, Arkady S.
5
1993
Farey level separation in mode-locking structure of circle mappings. Zbl 0761.58037
Pikovskij, Arkadij S.; Zaks, Mikhail A.
1
1992
Escape exponent for transient chaos and chaotic scattering in non- hyperbolic Hamiltonian systems. Zbl 0760.58032
Pikovskij, Arkady S.
1
1992
Symmetry breaking bifurcation for coupled chaotic attractors. Zbl 0766.58031
Pikovskij, Arkady S.; Grassberger, Peter
29
1991
Universal scenarios of transition to chaos via homoclinic bifurcations. Zbl 0677.58031
Lyubimov, D. V.; Pikovskij, A. S.; Zaks, M. A.
6
1989
Universality and scaling of period-doubling bifurcations in a dissipative distributed medium. Zbl 0596.58033
Kuznetsov, S. P.; Pikovskij, A. S.
7
1986
Stochastic oscillations in dissipative systems. Zbl 1194.37062
Pikovsky, Arkady S.; Rabinovich, Mikhail I.
6
1981
Stochastic behavior of dissipative systems. Zbl 0545.70032
Pikovskij, A. S.; Rabinovich, M. I.
1
1981
all top 5

Cited by 2,682 Authors

65 Ha, Seung-Yeal
55 Kurths, Jürgen
44 Pikovsky, Arkady S.
26 Kuznetsov, Sergey P.
20 Schöll, Eckehard
18 Rosenblum, Michael G.
17 Ghosh, Dibakar
17 Ryashko, Lev Borisovich
16 Anishchenko, Vadim Semenovich
16 Bashkirtseva, Irina Adol’fovna
15 Park, Hansol
15 Yanchuk, Sergiĭ Volodymyrovych
14 Kuznetsov, Aleksandr Petrovich
14 Sun, Zhongkui
13 Ashwin, Peter
13 Wang, Jiang
12 Macau, Elbert E. N.
12 Osipov, Grigory V.
11 Deng, Bin
11 Kim, Dohyun
11 Li, Zhuchun
11 Perc, Matjaž
11 Prasad, Awadhesh
11 Strelkova, Galina Ivanova
11 Zhang, Yongxiang
10 Fradkov, Aleksandr L’vovich
10 Grebogi, Celso
10 Gu, Huaguang
10 Kazakov, Alexey O.
10 Maistrenko, Yuri L.
10 Sataev, Igor’ Rustamovich
10 Shrimali, Manish Dev
10 Zakharova, Anna
9 Bick, Christian
9 Kim, Doheon
9 Koronovskii, Alexey A.
9 Kruglov, Vyacheslav Pavlovich
9 Lee, Jaeseung
9 Nekorkin, Vladimir I.
9 Nijmeijer, Henk
9 Omel’chenko, Oleh E.
9 Stankevich, Nataliya Vladimirovna
9 Turukina, Ludmila V.
9 Wolfrum, Matthias
9 Xu, Wei
8 Chen, Guanrong
8 Feudel, Ulrike
8 Goldobin, Denis S.
8 Jafari, Sajad
8 Khramov, Alexander E.
8 Kiss, István Z.
8 Nakao, Hiroya
8 Pisarchik, Alexander N.
8 Shim, Woojoo
8 Zaks, Michael A.
7 Aihara, Kazuyuki
7 Burić, Nikola I.
7 Fernandez, Bastien
7 Oertel-Jäger, Tobias Hendrik
7 Jost, Jürgen
7 Li, Larry Kin Bong
7 Moskalenko, Olga I.
7 Noh, Se Eun
7 Osbaldestin, Andrew H.
7 Park, Jinyeong
7 Rybalova, Elena V.
7 Skardal, Per Sebastian
7 Smirnov, Lev A.
7 Vaidyanathan, Sundarapandian
7 Vasović, Nebojša T.
7 Villatoro, Francisco R.
7 Xie, Jianhua
7 Zhan, Meng
6 Astakhov, Sergey V.
6 Boccaletti, Stefano
6 Bolotov, Maxim I.
6 Boulkroune, Abdesselem
6 Crnkić, Aladin
6 Glendinning, Paul Alexander
6 Jaćimović, Vladimir
6 Jalan, Sarika
6 Jin, Shi
6 Kapitaniak, Tomasz
6 Ko, Dongnam
6 Lakshmanan, Muthusamy
6 Li, Chuandong
6 Ott, Edward
6 Pazó, Diego
6 Prokhorov, Mikhail Dmitrievich
6 Rakshit, Sarbendu
6 Ryoo, Sang Woo
6 Semenova, Nadezhda Igorevna
6 Wang, Qingyun
6 Yue, Yuan
6 Zhao, Nannan
6 Zou, Wei
5 Azar, Ahmad Taher
5 Belykh, Igor V.
5 Bronski, Jared C.
5 Burylko, Oleksandr
...and 2,582 more Authors
all top 5

Cited in 207 Serials

328 Chaos
127 Physica D
125 Chaos, Solitons and Fractals
108 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
74 Communications in Nonlinear Science and Numerical Simulation
71 Nonlinear Dynamics
61 Physics Letters. A
34 Journal of Statistical Physics
31 Physica A
26 SIAM Journal on Applied Dynamical Systems
25 Regular and Chaotic Dynamics
23 Journal of Fluid Mechanics
22 Biological Cybernetics
18 Physics Reports
16 International Journal of Modern Physics B
16 Mathematical Problems in Engineering
15 Journal of Theoretical Biology
14 Journal of Nonlinear Science
13 Journal of Mathematical Physics
13 Nonlinearity
13 Applied Mathematics and Computation
12 Automatica
11 Journal of Differential Equations
11 Quarterly of Applied Mathematics
11 Dynamical Systems
10 Journal of Computational Neuroscience
10 Advances in Difference Equations
10 Russian Journal of Nonlinear Dynamics
9 Bulletin of Mathematical Biology
9 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Journal of Mathematical Biology
8 Neural Networks
8 Neural Computation
8 Journal of Statistical Mechanics: Theory and Experiment
7 Mathematical Biosciences
7 Abstract and Applied Analysis
7 Nonlinear Analysis. Real World Applications
7 The European Physical Journal B. Condensed Matter and Complex Systems
6 New Journal of Physics
6 Mathematical Modelling of Natural Phenomena
6 The Journal of Mathematical Neuroscience
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Communications in Mathematical Physics
5 Journal of the Franklin Institute
5 Mathematics and Computers in Simulation
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 SIAM Journal on Applied Mathematics
5 Fractals
5 Discrete Dynamics in Nature and Society
5 Journal of Physics A: Mathematical and Theoretical
5 Networks and Heterogeneous Media
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Systems & Control Letters
4 Circuits, Systems, and Signal Processing
4 Applied Mathematics and Mechanics. (English Edition)
4 Applied Mathematical Modelling
4 Automation and Remote Control
4 SIAM Journal on Mathematical Analysis
4 Journal of Mathematical Sciences (New York)
4 Discrete and Continuous Dynamical Systems
4 Journal of Applied Mathematics
4 Physical Review E. Third Series
4 Proceedings of the Steklov Institute of Mathematics
3 Modern Physics Letters B
3 Acta Mechanica
3 International Journal of Control
3 International Journal of Theoretical Physics
3 Mathematical Notes
3 Theoretical and Mathematical Physics
3 Ergodic Theory and Dynamical Systems
3 Mathematical and Computer Modelling
3 Linear Algebra and its Applications
3 Complexity
3 Journal of Shanghai University
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 International Journal of Modern Physics C
3 Differentsial’nye Uravneniya i Protsessy Upravleniya
3 Acta Mechanica Sinica
3 Journal of Applied Nonlinear Dynamics
2 Computers and Fluids
2 International Journal of Circuit Theory and Applications
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Acta Applicandae Mathematicae
2 Dynamics and Stability of Systems
2 Journal of Dynamics and Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Doklady Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
2 Analysis and Applications (Singapore)
2 Mathematical Biosciences and Engineering
2 Discrete and Continuous Dynamical Systems. Series S
2 Communications in Theoretical Physics
2 Advances in Mathematical Physics
2 Journal of Control Science and Engineering
2 Science China. Technological Sciences
2 Journal of Nonlinear Dynamics
1 Computer Physics Communications
...and 107 more Serials
all top 5

Cited in 46 Fields

856 Ordinary differential equations (34-XX)
636 Dynamical systems and ergodic theory (37-XX)
362 Biology and other natural sciences (92-XX)
223 Systems theory; control (93-XX)
135 Statistical mechanics, structure of matter (82-XX)
119 Mechanics of particles and systems (70-XX)
89 Partial differential equations (35-XX)
81 Probability theory and stochastic processes (60-XX)
76 Information and communication theory, circuits (94-XX)
51 Combinatorics (05-XX)
48 Fluid mechanics (76-XX)
38 Numerical analysis (65-XX)
34 Operations research, mathematical programming (90-XX)
33 Quantum theory (81-XX)
29 Computer science (68-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
24 Difference and functional equations (39-XX)
21 Optics, electromagnetic theory (78-XX)
20 Statistics (62-XX)
15 Mechanics of deformable solids (74-XX)
13 Geophysics (86-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Real functions (26-XX)
9 Classical thermodynamics, heat transfer (80-XX)
7 Operator theory (47-XX)
6 Astronomy and astrophysics (85-XX)
5 Measure and integration (28-XX)
5 Integral equations (45-XX)
4 History and biography (01-XX)
4 Number theory (11-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
2 Mathematical logic and foundations (03-XX)
2 Topological groups, Lie groups (22-XX)
2 Functions of a complex variable (30-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

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