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Chaos: From Theory to Applications
Introduction. Mathematical Notes. Physics Notes. On Fractals. Attractors. Bifurcations and Routes to Chaos. Chaos Elsewhere. Reconstruction of Dynamics from Observables. Evidence of Chaos in
Controlling chaos in the brain
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
Electric field suppression of epileptiform activity in hippocampal slices.
TLDR
Modulation of neuronal activity in these experiments was readily observed at field strengths < or = 5-10 mV/mm and in vivo application of these results may be feasible.
Spatiotemporal evolution of ventricular fibrillation
TLDR
High spatial and temporal resolution mapping of optical transmembrane potentials can easily detect transiently erupting rotors during the early phase of ventricular fibrillation, characterized by a relatively high spatiotemporal cross-correlation.
Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor.
TLDR
It is shown that when one presents two square waves as input to a two-state system, the response of the system can produce a logical output with a probability controlled by the noise intensity, which is a "logical stochastic resonance".
DYNAMICS BASED COMPUTATION
We demonstrate the ability of lattices of coupled chaotic maps to perform simple computations. This dynamical system is shown to emulate logic gates, encode numbers, and perform specific arithmetic
A noise-assisted reprogrammable nanomechanical logic gate.
TLDR
A nanomechanical device, operating as a reprogrammable logic gate, and performing fundamental logic functions such as AND/OR and NAND/NOR, affords a path to the practical realization of a new generation of mechanical computers.
Strange nonchaotic stars.
TLDR
Evidence of the first observation of strange nonchaotic dynamics in nature outside the laboratory is presented, which could aid the classification and detailed modeling of variable stars.
Removal, Suppression, and Control of Chaos by Nonlinear Design
TLDR
It is argued that nonlinearity can be a real-world advantage, and it is hoped that this review will serve as summary of, and invitation to, the nascent field of nonlinear design.
Chaogates: morphing logic gates that exploit dynamical patterns.
TLDR
The basic concepts underlying chaotic systems are reviewed and an extension of the formalism to include asymmetric logic functions is presented, which forms the basis of the design of a dynamical computing device that can be rapidly morphed to become any desired logic gate.
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