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On the transitions between dynamical behaviors for small-world and scale-free networks
(2008)
"The effect of network topology on the transition between dynamical behaviors is investigated for two networks: the small-world and scale-free models. In our analysis, we consider a network of identical dynamical systems ...
Multiscroll attractors by switching systems
(2010)
"In this paper, we present a class of three-dimensional dynamical systems having multiscrolls which we call unstable dissipative systems (UDSs). The UDSs are dissipative in one of its components but unstable in the other ...
Conditions for synchronization and chaos in networks of β-cells
(2009)
"The insulin producing and releasing pancreatic β-cells play a key role in glucose homeostasis. The proper function of these cells is characterized by a spiking-bursting activity in their membrane potential. It is known ...
Reconfigurable multivibrator element based on chaos controlElemento multivibrador reconfigurable basado en control de caos
(2013-12)
"A reconfigurable element based on nonlinear (chaotic) dynamics is adapted to implement the three different multivibrator configurations. A nonlinear dynamical system, under parameter modulating control, operates as a ...
Sincronización generalizada entre sistemas Rössler y Lorenz con dinámica Interna
(2010)
"Se investiga la sincronización generalizada (SG) entre los osciladores caóticos Rössler y Lorenz en una configuración maestro-esclavo. Para lograr la sincronización se diseña un controlador escalar por retroalimentación ...
Lie algebra on synchronization of different systems: a generalized function for Hodgkin-Huxley neurons
(2007)
"In this contribution two results are taken: (1) The synchronization of noiseless Hodgkin- Huxley (HH) neurons is possible from robust feedback based on Lie algebra approaches and (2) the fact that, from Lie algebra of ...
A multivibrator circuit based on chaos generation
(2012)
"We present a parameterized method to design multivibrator circuits via piecewise-linear (PWL) chaotic systems, which can exhibit double-scroll oscillations. The circuit is conformed exploiting a parametric modulation that ...
Activation of neuronal ensembles via controlled synchronization
(2017)
"In this contribution we present the activation of neuronal ensembles of Hindmarsh-Rose neurons by controlled synchronization. The main problem consists in to impose a particular spiking-bursting behavior in all the neurons ...
Synchronization and activation in a model of a network of β-cells
(2011)
"Islets of pancreatic β-cells are of utmost importance in the understanding of diabetes mellitus. We consider here a model of a network of such pancreatic β-cells which are globally coupled via gap junctions. Some of the ...
Adaptive tracking via pinning in networks of nonidentical nodes
(2018)
"We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions ...