Identical Phase Oscillator Networks: Bifurcations, Symmetry and Reversibility for Generalized Coupling
暂无分享,去创建一个
[1] S. Strogatz. From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators , 2000 .
[2] Hansel,et al. Clustering and slow switching in globally coupled phase oscillators. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[3] P. Ashwin,et al. Weak chimeras in minimal networks of coupled phase oscillators. , 2014, Chaos.
[4] Bard Ermentrout,et al. Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students , 2002, Software, environments, tools.
[5] M. Golubitsky,et al. Singularities and groups in bifurcation theory , 1985 .
[6] Jerrold E. Marsden,et al. Perspectives and Problems in Nonlinear Science , 2003 .
[7] Hiroshi Kori,et al. Clustering in globally coupled oscillators near a Hopf bifurcation: theory and experiments. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] Gábor Orosz,et al. Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators , 2007, SIAM J. Appl. Dyn. Syst..
[9] P. Holmes,et al. Globally Coupled Oscillator Networks , 2003 .
[10] Martin Golubitsky,et al. Time-reversibility and particle sedimentation , 1991 .
[11] Yoshiki Kuramoto,et al. Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.
[12] P. Ashwin,et al. The dynamics ofn weakly coupled identical oscillators , 1992 .
[13] P. Ashwin,et al. Designing the Dynamics of Globally Coupled Oscillators , 2009 .
[14] M. Golubitsky,et al. Singularities and Groups in Bifurcation Theory: Volume I , 1984 .
[15] Philip Rosenau,et al. Phase compactons , 2006 .
[16] Michele Maggiore,et al. Theory and experiments , 2008 .
[17] Peter Ashwin,et al. Hopf normal form with $S_N$ symmetry and reduction to systems of nonlinearly coupled phase oscillators , 2015, 1507.08079.
[18] Stephen Coombes,et al. Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience , 2015, The Journal of Mathematical Neuroscience.
[19] Carlo R. Laing,et al. The dynamics of chimera states in heterogeneous Kuramoto networks , 2009 .
[20] J. Lamb,et al. Time-reversal symmetry in dynamical systems: a survey , 1998 .
[21] Y. Kuramoto,et al. A Soluble Active Rotater Model Showing Phase Transitions via Mutual Entertainment , 1986 .
[22] H. Daido. Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: bifurcation of the order function , 1996 .
[23] R. Spigler,et al. The Kuramoto model: A simple paradigm for synchronization phenomena , 2005 .
[24] Antonio Politi,et al. Self-sustained irregular activity in an ensemble of neural oscillators , 2015, 1508.06776.
[25] Jürgen Kurths,et al. Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.
[26] D. Abrams,et al. Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators , 2014, 1403.6204.
[27] Yuri Maistrenko,et al. Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators , 2008 .
[28] Arkady Pikovsky,et al. Desynchronization transitions in nonlinearly coupled phase oscillators , 2011, 1102.0627.
[29] C. Bick. Chaos and Chaos Control in Network Dynamical Systems , 2012 .
[30] Yoshiki Kuramoto,et al. Self-entrainment of a population of coupled non-linear oscillators , 1975 .
[31] S. Strogatz,et al. Chimera states for coupled oscillators. , 2004, Physical review letters.
[32] Marc Timme,et al. Chaos in symmetric phase oscillator networks. , 2011, Physical review letters.
[33] R. Devaney. Reversible diffeomorphisms and flows , 1976 .
[34] G. Estabrook. The Geometry of Biological Time.Second Edition. Interdisciplinary Applied Mathematics, Volume 12. ByArthur T Winfree. New York: Springer. $89.95. xxvi + 777 p; ill.; index of author citations and publications, index of subjects. ISBN: 0–387–98992–7. 2001. , 2002 .
[35] S. Strogatz,et al. Constants of motion for superconducting Josephson arrays , 1994 .
[36] A. F. Adams,et al. The Survey , 2021, Dyslexia in Higher Education.
[37] Peter Saunders. The geometry of biological time (2nd edn), by Arthur T. Winfree. Pp. 777. £46.50. 2001 ISBN 0 387 98992 7 (Springer). , 2002, The Mathematical Gazette.
[38] Christian Bick,et al. Chaotic weak chimeras and their persistence in coupled populations of phase oscillators , 2015, 1509.08824.