Control of Neuronal Synchrony by Nonlinear Delayed Feedback
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[1] Christian Hauptmann,et al. Stimulus-dependent onset latency of inhibitory recurrent activity , 2003, Biological Cybernetics.
[2] Balth. van der Pol,et al. VII. Forced oscillations in a circuit with non-linear resistance. (Reception with reactive triode) , 1927 .
[3] A. Benabid,et al. Combined (thalamotomy and stimulation) stereotactic surgery of the VIM thalamic nucleus for bilateral Parkinson disease. , 1987, Applied neurophysiology.
[4] Roy,et al. Communication with chaotic lasers , 1998, Science.
[5] Jürgen Kurths,et al. Synchronization: Phase locking and frequency entrainment , 2001 .
[6] J. Bullier,et al. Axons, but not cell bodies, are activated by electrical stimulation in cortical gray matter I. Evidence from chronaxie measurements , 1998, Experimental Brain Research.
[7] J. Obeso,et al. Bilateral deep brain stimulation in Parkinson's disease: a multicentre study with 4 years follow-up. , 2005, Brain : a journal of neurology.
[8] Jürgen Jost,et al. Delays, connection topology, and synchronization of coupled chaotic maps. , 2004, Physical review letters.
[9] R. Traub,et al. Neuronal Networks of the Hippocampus , 1991 .
[10] M L Spano,et al. Surrogates for finding unstable periodic orbits in noisy data sets. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[11] Y. Kuznetsov. Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.
[12] O. Rössler. An equation for continuous chaos , 1976 .
[13] W Singer,et al. Visual feature integration and the temporal correlation hypothesis. , 1995, Annual review of neuroscience.
[14] Hagai Bergman,et al. Comparison of MPTP-induced changes in spontaneous neuronal discharge in the internal pallidal segment and in the substantia nigra pars reticulata in primates , 1999, Experimental Brain Research.
[15] Peter A Tass,et al. Phase chaos in coupled oscillators. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[16] P. A. Tass,et al. Effective desynchronization with a resetting pulse train followed by a single pulse , 2001 .
[17] J. Dostrovsky,et al. Stimulation-induced inhibition of neuronal firing in human subthalamic nucleus , 2004, Experimental Brain Research.
[18] R. Eckhorn,et al. Coherent oscillations: A mechanism of feature linking in the visual cortex? , 1988, Biological Cybernetics.
[19] J. Bullier,et al. Axons, but not cell bodies, are activated by electrical stimulation in cortical gray matter II. Evidence from selective inactivation of cell bodies and axon initial segments , 1998, Experimental Brain Research.
[20] Peter A. Tass,et al. Desynchronizing double-pulse phase resetting and application to deep brain stimulation , 2001, Biological Cybernetics.
[21] D. V. Reddy,et al. Time delay effects on coupled limit cycle oscillators at Hopf bifurcation , 1998, chao-dyn/9810023.
[22] Kestutis Pyragas. Continuous control of chaos by self-controlling feedback , 1992 .
[23] Ehud Ahissar,et al. Temporal-Code to Rate-Code Conversion by Neuronal Phase-Locked Loops , 1998, Neural Computation.
[24] Christian Hauptmann,et al. Effective desynchronization by nonlinear delayed feedback. , 2005, Physical review letters.
[25] S. Strogatz,et al. Time Delay in the Kuramoto Model of Coupled Oscillators , 1998, chao-dyn/9807030.
[26] J. Volkmann. DEEP BRAIN STIMULATION II Deep Brain Stimulation for the Treatment of Parkinson’s Disease , 2004 .
[27] C. McIntyre,et al. Excitation of central nervous system neurons by nonuniform electric fields. , 1999, Biophysical journal.
[28] Seon Hee Park,et al. MULTISTABILITY IN COUPLED OSCILLATOR SYSTEMS WITH TIME DELAY , 1997 .
[29] Peter A. Tass,et al. MULTISITE COORDINATED DELAYED FEEDBACK FOR AN EFFECTIVE DESYNCHRONIZATION OF NEURONAL NETWORKS , 2005 .
[30] J. B. Ranck,et al. Which elements are excited in electrical stimulation of mammalian central nervous system: A review , 1975, Brain Research.
[31] G. Ermentrout,et al. Analysis of neural excitability and oscillations , 1989 .
[32] P. Tass. Phase Resetting in Medicine and Biology , 1999 .
[33] H. Bergman,et al. Neurons in the globus pallidus do not show correlated activity in the normal monkey, but phase-locked oscillations appear in the MPTP model of parkinsonism. , 1995, Journal of neurophysiology.
[34] Richard Bellman,et al. Differential-Difference Equations , 1967 .
[35] H C Kwan,et al. Single-unit analysis of the human ventral thalamic nuclear group: somatosensory responses. , 1988, Journal of neurophysiology.
[36] Peter A Tass,et al. Effective desynchronization with bipolar double-pulse stimulation. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[37] S. Strogatz,et al. Phase diagram for the collective behavior of limit-cycle oscillators. , 1990, Physical review letters.
[38] T. Geisel,et al. Delay-induced multistable synchronization of biological oscillators , 1998 .
[39] C. Morris,et al. Voltage oscillations in the barnacle giant muscle fiber. , 1981, Biophysical journal.
[40] E Ahissar,et al. Oscillatory activity of single units in a somatosensory cortex of an awake monkey and their possible role in texture analysis. , 1990, Proceedings of the National Academy of Sciences of the United States of America.
[41] Warren M. Grill,et al. Extracellular excitation of central neurons: implications for the mechanisms of deep brain stimulation , 2001 .
[42] M. Rosenblum,et al. Delayed feedback control of collective synchrony: an approach to suppression of pathological brain rhythms. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[43] P. Tass,et al. Mechanism of desynchronization in the finite-dimensional Kuramoto model. , 2004, Physical review letters.
[44] E. Schwartz. Methods in Neuronal Modelling. From Synapses to Networks edited by Christof Koch and Idan Segev, MIT Press, 1989. £40.50 (xii + 524 pages) ISBN 0 262 11133 0 , 1990, Trends in Neurosciences.
[45] E. Wright,et al. Cortical Potentials and Parkinsonian Tremor , 1969, Nature.
[46] Frank C. Hoppensteadt,et al. An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain , 1997 .
[47] A. Benabid,et al. Long-term suppression of tremor by chronic stimulation of the ventral intermediate thalamic nucleus , 1991, The Lancet.
[48] D. Paré,et al. Neuronal basis of the parkinsonian resting tremor: A hypothesis and its implications for treatment , 1990, Neuroscience.
[49] D. Hansel,et al. Phase Dynamics for Weakly Coupled Hodgkin-Huxley Neurons , 1993 .
[50] P. Tass. Stochastic phase resetting of two coupled phase oscillators stimulated at different times. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[51] Peter A. Tass,et al. Phase Resetting in Medicine and Biology: Stochastic Modelling and Data Analysis , 1999 .
[52] E. G. Jones,et al. Thalamic oscillations and signaling , 1990 .
[53] Kurths,et al. Phase synchronization of chaotic oscillators. , 1996, Physical review letters.
[54] Bernhard Hellwig,et al. A quantitative analysis of the local connectivity between pyramidal neurons in layers 2/3 of the rat visual cortex , 2000, Biological Cybernetics.
[55] C. Hammond,et al. Dual Effect of High-Frequency Stimulation on Subthalamic Neuron Activity , 2003, The Journal of Neuroscience.
[56] Juergen Kurths,et al. Synchronization in a population of globally coupled chaotic oscillators , 1996 .
[57] Balth van der Pol Jun Docts. Sc.,et al. LXXII. The heartbeat considered as a relaxation oscillation, and an electrical model of the heart , 1928 .
[58] A. Lang,et al. Long-term follow-up of thalamic deep brain stimulation for essential and parkinsonian tremor , 2003, Neurology.
[59] Peter A. Tass,et al. Desynchronization of brain rhythms with soft phase-resetting techniques , 2002, Biological Cybernetics.
[60] Hiroaki Daido. Order Function Theory of Macroscopic Phase-Locking in Globally and Weakly Coupled Limit-Cycle Oscillators , 1997 .
[61] Sen,et al. Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators , 1998, Physical review letters.
[62] Peter A. Tass,et al. Delayed feedback control of synchronization in locally coupled neuronal networks , 2005, Neurocomputing.
[63] P. A. Tass,et al. Effective desynchronization by means of double-pulse phase resetting , 2001 .
[64] H. Schuster,et al. Mutual Entrainment of Two Limit Cycle Oscillators with Time Delayed Coupling , 1989 .
[65] D. Hansel,et al. Subthalamic high frequency stimulation resets subthalamic firing and reduces abnormal oscillations. , 2005, Brain : a journal of neurology.
[66] Yoshiki Kuramoto,et al. Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.
[67] Peter A. Tass,et al. A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations , 2003, Biological Cybernetics.
[68] P. Nunez,et al. Electric fields of the brain , 1981 .
[69] D. V. Reddy,et al. Experimental Evidence of Time Delay Induced Death in Coupled Limit Cycle Oscillators , 2000 .
[70] F. Atay. Distributed delays facilitate amplitude death of coupled oscillators. , 2003, Physical review letters.
[71] T. Mittmann,et al. Ischaemia‐induced Long‐term Hyperexcitability in Rat Neocortex , 1995, The European journal of neuroscience.
[72] C. McIntyre,et al. Uncovering the mechanism(s) of action of deep brain stimulation: activation, inhibition, or both , 2004, Clinical Neurophysiology.
[73] Ernst,et al. Synchronization induced by temporal delays in pulse-coupled oscillators. , 1995, Physical review letters.
[74] Charles J. Wilson,et al. Activity Patterns in a Model for the Subthalamopallidal Network of the Basal Ganglia , 2002, The Journal of Neuroscience.
[75] M. Rosenblum,et al. Controlling synchronization in an ensemble of globally coupled oscillators. , 2004, Physical review letters.
[76] Jürgen Kurths,et al. Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.
[77] R. Traub,et al. Neuronal networks of the hippocampus: The single-cell model , 1991 .
[78] Peter A. Tass,et al. Effectively desynchronizing deep brain stimulation based on a coordinated delayed feedback stimulation via several sites: a computational study , 2005, Biological Cybernetics.
[79] W. Singer,et al. Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. , 1989, Proceedings of the National Academy of Sciences of the United States of America.
[80] Pierre Pollak,et al. Mechanisms of deep brain stimulation , 2002, Movement disorders : official journal of the Movement Disorder Society.