Floquet multipliers of a metastable rotating wave in a Chua–Yang ring network
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Mauro Forti | Mauro Di Marco | Barnabas M. Garay | L. Pancioni | B. Garay | M. Forti | L. Pancioni | M. D. Marco | M. Di Marco | Miklos Koller | M. Koller | Barnabas M. Garay
[1] Jan Philipp Pade,et al. The dynamical impact of a shortcut in unidirectionally coupled rings of oscillators , 2015, 1506.03923.
[2] Balázs Indig,et al. Chaos in Vallis' asymmetric Lorenz model for El Nino , 2015 .
[3] Mauro Forti,et al. Long transient oscillations in a class of cooperative cellular neural networks , 2015, Int. J. Circuit Theory Appl..
[4] Yo Horikawa,et al. Effects of asymmetry in an output function on the pinning of rotating waves in a ring neural oscillator with asymmetric bidirectional coupling and self-coupling , 2014, Neurocomputing.
[5] Yo Horikawa,et al. Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons , 2014, Neural Networks.
[6] J. Kelso,et al. The Metastable Brain , 2014, Neuron.
[7] Christof Schütte,et al. Metastability and Markov State Models in Molecular Dynamics Modeling, Analysis , 2016 .
[8] Y. Horikawa. Metastable dynamical patterns and their stabilization in arrays of bidirectionally coupled sigmoidal neurons. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[9] Yo Horikawa,et al. Metastable and chaotic transient rotating waves in a ring of unidirectionally coupled bistable Lorenz systems , 2013 .
[10] M. Koller,et al. An experimental study on long transient oscillations in cooperative CNN rings , 2012, 2012 13th International Workshop on Cellular Nanoscale Networks and their Applications.
[11] Hiroyuki Kitajima,et al. Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point. , 2012, Chaos.
[12] Hiroyuki Kitajima,et al. Quasiperiodic and exponential transient phase waves and their bifurcations in a ring of unidirectionally coupled parametric oscillators , 2012 .
[13] Y. Horikawa. Exponential dispersion relation and its effects on unstable propagating pulses in unidirectionally coupled symmetric bistable elements , 2012 .
[14] Chih-Hung Chang,et al. On the structure of multi-layer cellular neural networks , 2012 .
[15] Mauro Forti,et al. Convergence of a Class of Cooperative Standard Cellular Neural Network Arrays , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.
[16] K. Pakdaman,et al. Metastable periodic patterns in singularly perturbed state-dependent delayed equations , 2012, 1203.4115.
[17] Y. Horikawa,et al. Exponential transient rotating waves in a bistable ring of unidirectionally coupled maps , 2012 .
[18] Yo Horikawa,et al. Exponential transient propagating oscillations in a ring of spiking neurons with unidirectional slow inhibitory synaptic coupling. , 2011, Journal of theoretical biology.
[19] Mauro Forti,et al. Limit Set Dichotomy and Convergence of Cooperative Piecewise Linear Neural Networks , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.
[20] Mauro Forti,et al. Limit Set Dichotomy and Convergence of semiflows Defined by Cooperative Standard CNNs , 2010, Int. J. Bifurc. Chaos.
[21] Xavier Vilasís-Cardona,et al. Two Neuron CNNs: Search for Limit Cycles , 2010, Int. J. Bifurc. Chaos.
[22] Y. Horikawa,et al. Bifurcation and stabilization of oscillations in ring neural networks with inertia , 2009 .
[23] Y. Horikawa,et al. Mechanism of long transient oscillations in cyclic coupled systems , 2009 .
[24] Y. Horikawa,et al. Effects of noise and variations on the duration of transient oscillations in unidirectionally coupled bistable ring networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[25] S. M'el'eard,et al. Uniform Estimates for Metastable Transition Times in a Coupled Bistable System , 2009, 0907.0537.
[26] Y. Horikawa,et al. Duration of transient oscillations in ring networks of unidirectionally coupled neurons , 2009 .
[27] Margaret Beck,et al. Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity , 2008, SIAM Rev..
[28] A. Champneys,et al. Piecewise-smooth Dynamical Systems: Theory and Applications , 2007 .
[29] Lihong Huang,et al. Stability of nonlinear waves in a ring of neurons with delays , 2007 .
[30] Tibor Csendes,et al. Optimization and the Miranda Approach in Detecting Horseshoe-Type Chaos by Computer , 2007, Int. J. Bifurc. Chaos.
[31] E. Davies,et al. Perturbations of Jordan matrices , 2006, J. Approx. Theory.
[32] Xinfu Chen,et al. Generation, propagation, and annihilation of metastable patterns , 2004 .
[33] Suh-Yuh Yang,et al. Wave propagation in RTD-based cellular neural networks , 2004 .
[34] Suh-Yuh Yang,et al. On camel-like traveling wave solutions in cellular neural networks , 2004 .
[35] Leon O. Chua,et al. Cellular Neural Networks and Visual Computing: Foundations and Applications , 2002 .
[36] P. Thiran,et al. An approach to information propagation in 1-D cellular neural networks. II. Global propagation , 1998 .
[37] Patrick Thiran,et al. An approach to information propagation in cellular neural networks - Part I : Local diffusion , 1998 .
[38] P. Thiran,et al. Self-organization in cellular neural networks: a comparison with Kohonen's self-organizing maps , 1998, 1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359).
[39] Xingfu Zou,et al. Asymptotic and Periodic Boundary Value Problems of Mixed FDEs and Wave Solutions of Lattice Differential Equations , 1997 .
[40] Leon O. Chua,et al. Characterization and dynamics of pattern formation in cellular neural networks , 1996 .
[41] Leon O. Chua,et al. Pattern formation properties of autonomous Cellular Neural Networks , 1995 .
[42] Christopher P. Grant,et al. Slowly-migrating transition layers for the discrete Allen-Cahn and Cahn-Hilliard equations , 1995 .
[43] Klaus Schulten,et al. Self-organizing maps: stationary states, metastability and convergence rate , 1992, Biological Cybernetics.
[44] Leon O. Chua,et al. Cellular neural networks: applications , 1988 .
[45] Lin-Bao Yang,et al. Cellular neural networks: theory , 1988 .
[46] Hal L. Smith. Periodic orbits of competitive and cooperative systems , 1986 .
[47] G. Benettin,et al. The Fermi—Pasta—Ulam Problem and the Metastability Perspective , 2007 .
[48] R. Pego. Lectures on Dynamics in Models of Coarsening and Coagulation , 2006 .
[49] M. Hirsch,et al. 4. Monotone Dynamical Systems , 2005 .
[50] Shui-Nee Chow,et al. Lattice Dynamical Systems , 2003 .
[51] J. Mallet-Paret. Traveling Waves in Spatially Discrete Dynamical Systems of Diffusive Type , 2003 .
[52] Patrick Thiran,et al. Dynamics and self-organization of locally coupled neural networks , 1996 .