2012/08/01 by Ricardo Lopez-Ruiz, Lopez-Ruiz, Ricardo, Daniele Fournier-Prunaret +1 · 3 citations
Computer Science · Engineering · Mathematics · Neuroscience · Physics and Astronomy · Psychology · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #Biological system #Biology #Bistability #Chaotic Dynamics (nlin.CD) #Computer science #Coupling (piping) #Dynamical Systems (math.DS) #Engineering #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Logistic map #Mathematics #Multistability #Neural and Evolutionary Computing (cs.NE) #Neural dynamics and brain function #Neuroscience #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Psychology #Quantum mechanics #Statistical physics #Topology (electrical circuits) #cs.NE #math.DS #nlin.CD
paper · pdf · doi:10.48550/arxiv.1208.0223
published in arXiv (Cornell University) (Cornell University) · 20 pages, 20 figures; Chapter to appear
arxiv created 2012/08/01 · arxiv updated 2012/08/02
In general, the behavior of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components. The brain is a good example of this type of networked systems where some patterns of behavior are observed independently of the topology and of the number of coupled units. Following this insight, we have studied the dynamics of different aggregates of logistic maps according to a particular \it symbiotic coupling scheme that imitates the neuronal excitation coupling. All these aggregates show some common dynamical properties, concretely a bistable behavior that is reported here with a certain detail. Thus, the qualitative relationship with neural systems is suggested through a naive model of many of such networked logistic maps whose behavior mimics the waking-sleeping bistability displayed by brain systems. Due to its relevance, some regions of multistability are determined and sketched for all these logistic models.