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Neural Networks, ISSN 0893-6080, 06/2015, Volume 66, pp. 107 - 118
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 04/2018, Volume 496, pp. 162 - 170
The cerebral cortex plays a key role in complex cortical functions. It can be divided into areas according to their function (motor, sensory and association... 
Control | Rulkov map | Suppression of synchronization | Neural networks | Delay | WHITE-MATTER | PHYSICS, MULTIDISCIPLINARY | SMALL-WORLD | SYNCHRONOUS BEHAVIOR | INTEGRATION | DYNAMICS | MODULATION | PARKINSONS-DISEASE
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 08/2017, Volume 101, pp. 86 - 91
Neuronal systems have been modelled by complex networks in different description levels. Recently, it has been verified that the networks can simultaneously... 
Chimera-like states | Neuronal network | Noise | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EVOLUTION | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Cats | Models | Neurons | Analysis
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2018, Volume 509, pp. 1110 - 1119
Intrinsically nonlinear coupled systems present different oscillating components that exchange energy among themselves. We present a new approach to deal with... 
Coupling | Spring pendulum | Nonlinear systems | Energy distribution | STATES | PHYSICS, MULTIDISCIPLINARY | STABILITY | CHAOS | NONLINEAR DYNAMICS | MOTION | RESONANCE | MODELS | OSCILLATORS | REGULATORY NETWORKS | ELASTIC PENDULUM | Energy trading | Control systems | Analysis
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2017, Volume 469, pp. 681 - 694
Chaotic dynamics in open Hamiltonian dynamical systems typically presents a number of fractal structures in phase space derived from the interwoven structure... 
Fractal basin boundaries | Fractal structures | Wada property | Charged particle motion | Drift waves | Exit basins | PHYSICS, MULTIDISCIPLINARY | HOMOCLINIC TANGLES | STOCHASTICITY | WADA BASIN BOUNDARIES
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 11/2017, Volume 104, pp. 588 - 598
•Fractal structures are typically found in chaotic dynamics.•Such structures appear in orbits of area-preserving dynamical systems.•Fractal structures... 
Basin entropy | Fractal basin boundaries | Fractal exit basins | Magnetic field lines | Tokamaks | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | DYNAMICAL-SYSTEMS | WADA BASIN BOUNDARIES | PHYSICS, MATHEMATICAL | EXIT | Magnetic fields | Plasma physics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2014, Volume 90, Issue 3, p. 032818
We considered a clustered network of bursting neurons described by the Huber-Braun model. In the upper level of the network we used the connectivity matrix of... 
TREMOR | SMALL-WORLD | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | DETERMINISTIC CHAOS | NOISE | CONNECTIONAL ORGANIZATION | MODEL | DEEP BRAIN-STIMULATION | OSCILLATIONS | PHYSICS, MATHEMATICAL | CAT CEREBRAL-CORTEX | Action Potentials - physiology | Cats | Animals | Computer Simulation | Neurons - physiology | Periodicity | Cerebral Cortex - physiology | Models, Neurological | Nonlinear Dynamics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 07/2012, Volume 86, Issue 1, p. 016211
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 06/2016, Volume 35, pp. 37 - 52
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2016, Volume 34, pp. 12 - 22
In this paper,we study the effects of spiketiming-dependent plasticity on synchronisation in a network of Hodgkin-Huxley neurons.Neuron plasticity is a... 
Journal Article
Physics Letters A, ISSN 0375-9601, 10/2015, Volume 379, Issue 37, pp. 2188 - 2192
Chimera states, characterised by coexistence of coherence and incoherence in coupled dynamical systems, have been found in various physical systems, such as... 
Recurrence plot | Network | Chimera | CHAOS | PHYSICS, MULTIDISCIPLINARY | TUMOR | NETWORKS | MODEL | Relapse | Analysis | Diseases
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 08/2018, Volume 28, Issue 8, p. 81105
We investigate the basin of attraction properties and its boundaries for chimera states in a circulant network of Hénon maps. It is known that coexisting... 
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2015, Volume 419, pp. 487 - 497
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 10/2017, Volume 911, Issue 1
Conference Proceeding
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2017, Volume 470, pp. 236 - 248
We investigate the transition to phase and frequency synchronization in a one-dimensional chain of phase oscillator “cells” where the coupling is mediated by... 
Synchronization | Nonlocal coupling | Phase oscillators | LAW SPATIAL CORRELATIONS | COMPLEX-SYSTEMS | PHYSICS, MULTIDISCIPLINARY | QUANTIFICATION | RECURRENCE PLOTS | KURAMOTO | ONSET
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 05/2016, Volume 34, pp. 12 - 22
•We have studied the effects of spike timing-dependent plasticity on synchronisation.•We have chosen, as local dynamics, the Hodgkin–Huxley model.•The... 
Neuronal network | Synchronisation | Plasticity | MATHEMATICS, APPLIED | STIMULATION | CORRELATED ACTIVITY | PHYSICS, FLUIDS & PLASMAS | MODEL | PHYSICS, MATHEMATICAL | HIPPOCAMPUS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | AREA | POTENTIATION | DISEASE | Neurons | Analysis
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2018, Volume 492, pp. 1045 - 1052
In this work, we study the dynamic range in a neural network modelled by cellular automaton. We consider deterministic and non-deterministic rules to simulate... 
Dynamic range | Cellular automaton | Plasticity | SYNCHRONIZATION | DYNAMIC-RANGE | PHYSICS, MULTIDISCIPLINARY | NEURONS | TIMING-DEPENDENT PLASTICITY | Neurons | Neural networks | Analysis | Robots
Journal Article