Journal ArticleDOI
Controlling chaos in the brain
TLDR
In a spontaneously bursting neuronal network in vitro, chaos can be demonstrated by the presence of unstable fixed-point behaviour, and chaos control techniques can increase the periodicity of such neuronal population bursting behaviour.Abstract:
In a spontaneously bursting neuronal network in vitro, chaos can be demonstrated by the presence of unstable fixed-point behaviour. Chaos control techniques can increase the periodicity of such neuronal population bursting behaviour. Periodic pacing is also effective in entraining such systems, although in a qualitatively different fashion. Using a strategy of anticontrol such systems can be made less periodic. These techniques may be applicable to in vivo epileptic foci.read more
Citations
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Journal ArticleDOI
Synchronization and rhythmic processes in physiology
TL;DR: Molecular and physical techniques combined with physiological and medical studies are addressing questions concerning the dynamics of physiological rhythms and are transforming the understanding of the rhythms of life.
Book
Foundations of neural networks, fuzzy systems, and knowledge engineering
TL;DR: This text is the first to combine the study of neural networks and fuzzy systems, their basics and their use, along with symbolic AI methods to build comprehensive artificial intelligence systems.
Journal ArticleDOI
Radical embodiment: neural dynamics and consciousness.
TL;DR: This approach aims to map the neural substrates of consciousness at the level of large-scale, emergent and transient dynamical patterns of brain activity, and suggests that the processes crucial for consciousness cut across the brain-body-world divisions, rather than being brain-bound neural events.
Journal ArticleDOI
The control of chaos: theory and applications
TL;DR: In this paper, the Ott-Grebogi-Yorke (OGY) method and the adaptive method for chaotic control are discussed. But the authors focus on the targeting problem, i.e., how to bring a trajectory to a small neighborhood of a desired location in the chaotic attractor in both low and high dimensions.
References
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Book
Chaos in dynamical systems
TL;DR: In the new edition of this classic textbook, the most important change is the addition of a completely new chapter on control and synchronization of chaos as mentioned in this paper, which will be of interest to advanced undergraduates and graduate students in science, engineering and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Chaos in dynamical systems
TL;DR: In the new edition of this classic textbook, the most important change is the addition of a completely new chapter on control and synchronization of chaos as discussed by the authors, which will be of interest to advanced undergraduates and graduate students in science, engineering and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Journal ArticleDOI
Controlling Cardiac Chaos
TL;DR: By administering electrical stimuli to the heart at irregular times determined by chaos theory, the arrhythmia was converted to periodic beating and was stabilized to stabilize cardiac arrhythmias induced by the drug ouabain in rabbit ventricle.
Journal ArticleDOI
Using small perturbations to control chaos
TL;DR: The extreme sensitivity of chaotic systems to tiny perturbations (the ‘butterfly effect’) can be used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to a desired state.
Book
Neuronal Networks of the Hippocampus
Roger D. Traub,Richard B. Miles +1 more
TL;DR: Using a combined experimental-theoretical approach unique in neuroscience, the authors present important new techniques for the physiological reconstruction of a large biological neuronal network in the CA3 hippocampal region in vitro.