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Noncoercive damping in dynamic hemivariational inequality with application to problem of piezoelectricity
Phase-locking and Arnold coding in prototypical network topologies
1. | Institute for Neuroinformatics UZH/ETHZ, Winterthurerstrasse 190, 8057 Zürich, Switzerland |
2. | Institute of Neuroinformatics UZH/ETHZ, Winterthurerstrasse 190, 8057 Zürich, Switzerland |
[1] |
Ryotaro Tsuneki, Shinji Doi, Junko Inoue. Generation of slow phase-locked oscillation and variability of the interspike intervals in globally coupled neuronal oscillators. Mathematical Biosciences & Engineering, 2014, 11 (1) : 125-138. doi: 10.3934/mbe.2014.11.125 |
[2] |
Jeremias Epperlein, Stefan Siegmund. Phase-locked trajectories for dynamical systems on graphs. Discrete and Continuous Dynamical Systems - B, 2013, 18 (7) : 1827-1844. doi: 10.3934/dcdsb.2013.18.1827 |
[3] |
Seung-Yeal Ha, Jinyeong Park, Sang Woo Ryoo. Emergence of phase-locked states for the Winfree model in a large coupling regime. Discrete and Continuous Dynamical Systems, 2015, 35 (8) : 3417-3436. doi: 10.3934/dcds.2015.35.3417 |
[4] |
Yuming Chen. Synchronized and nonsymmetric phase-locked periodic solutions in a neteork of neurons with McCulloch-Pitts nonlinearity. Conference Publications, 2001, 2001 (Special) : 102-108. doi: 10.3934/proc.2001.2001.102 |
[5] |
Victor S. Kozyakin, Alexander M. Krasnosel’skii, Dmitrii I. Rachinskii. Arnold tongues for bifurcation from infinity. Discrete and Continuous Dynamical Systems - S, 2008, 1 (1) : 107-116. doi: 10.3934/dcdss.2008.1.107 |
[6] |
Victor Kozyakin, Alexander M. Krasnosel’skii, Dmitrii Rachinskii. Asymptotics of the Arnold tongues in problems at infinity. Discrete and Continuous Dynamical Systems, 2008, 20 (4) : 989-1011. doi: 10.3934/dcds.2008.20.989 |
[7] |
Sue Ann Campbell, Ilya Kobelevskiy. Phase models and oscillators with time delayed coupling. Discrete and Continuous Dynamical Systems, 2012, 32 (8) : 2653-2673. doi: 10.3934/dcds.2012.32.2653 |
[8] |
Guy Katriel. Stability of synchronized oscillations in networks of phase-oscillators. Discrete and Continuous Dynamical Systems - B, 2005, 5 (2) : 353-364. doi: 10.3934/dcdsb.2005.5.353 |
[9] |
Da-Peng Li. Phase transition of oscillators and travelling waves in a class of relaxation systems. Discrete and Continuous Dynamical Systems - B, 2016, 21 (8) : 2601-2614. doi: 10.3934/dcdsb.2016063 |
[10] |
William F. Thompson, Rachel Kuske, Yue-Xian Li. Stochastic phase dynamics of noise driven synchronization of two conditional coherent oscillators. Discrete and Continuous Dynamical Systems, 2012, 32 (8) : 2971-2995. doi: 10.3934/dcds.2012.32.2971 |
[11] |
Hayato Chiba. Continuous limit and the moments system for the globally coupled phase oscillators. Discrete and Continuous Dynamical Systems, 2013, 33 (5) : 1891-1903. doi: 10.3934/dcds.2013.33.1891 |
[12] |
Stilianos Louca, Fatihcan M. Atay. Spatially structured networks of pulse-coupled phase oscillators on metric spaces. Discrete and Continuous Dynamical Systems, 2014, 34 (9) : 3703-3745. doi: 10.3934/dcds.2014.34.3703 |
[13] |
Xiaoxue Zhao, Zhuchun Li, Xiaoping Xue. Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring. Networks and Heterogeneous Media, 2018, 13 (2) : 323-337. doi: 10.3934/nhm.2018014 |
[14] |
Jacky Cresson, Christophe Guillet. Periodic orbits and Arnold diffusion. Discrete and Continuous Dynamical Systems, 2003, 9 (2) : 451-470. doi: 10.3934/dcds.2003.9.451 |
[15] |
Heesung Shin, Jiang Zeng. More bijections for Entringer and Arnold families. Electronic Research Archive, 2021, 29 (2) : 2167-2185. doi: 10.3934/era.2020111 |
[16] |
Bruce Hughes. Geometric topology of stratified spaces. Electronic Research Announcements, 1996, 2: 73-81. |
[17] |
Guizhen Cui, Wenjuan Peng, Lei Tan. On the topology of wandering Julia components. Discrete and Continuous Dynamical Systems, 2011, 29 (3) : 929-952. doi: 10.3934/dcds.2011.29.929 |
[18] |
Fengbo Hang, Fanghua Lin. Topology of Sobolev mappings IV. Discrete and Continuous Dynamical Systems, 2005, 13 (5) : 1097-1124. doi: 10.3934/dcds.2005.13.1097 |
[19] |
Robert Cardona. The topology of Bott integrable fluids. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022054 |
[20] |
Juan Campos, Rafael Obaya, Massimo Tarallo. Recurrent equations with sign and Fredholm alternative. Discrete and Continuous Dynamical Systems - S, 2016, 9 (4) : 959-977. doi: 10.3934/dcdss.2016036 |
2021 Impact Factor: 1.497
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