J
John A. Vastano
Researcher at University of Texas at Austin
Publications - 8
Citations - 8517
John A. Vastano is an academic researcher from University of Texas at Austin. The author has contributed to research in topics: Lyapunov exponent & Chaotic. The author has an hindex of 7, co-authored 8 publications receiving 7741 citations.
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Determining Lyapunov exponents from a time series
TL;DR: In this article, the authors present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series, which provide a qualitative and quantitative characterization of dynamical behavior.
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Information transport in spatiotemporal systems
John A. Vastano,Harry L. Swinney +1 more
TL;DR: Spatiotemporal chaos can be produced by complicated local dynamics in a small spatial region and observed globally through a process called information transport, which is detected by computation of an information-theoretic quantity between measurements of the system at separate spatial points.
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Chemical pattern formation with equal diffusion coefficients
TL;DR: In this article, the authors show that time-independent spatial patterns can form in a reaction-diffusion system even when the different chemical species have equal diffusion coefficients, and that the patterns organize in response to finite amplitude perturbations and are connected to the branch of uniform steady states by a branch of unstable steady states.
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Turing patterns in an open reactor
TL;DR: In this article, a model open reactor is investigated in order to guide the experimental search for steady spatial chemical patterns in a simple autocatalytic chemistry (the Gray-Scott model) and a description of all the steady state bifurcations from an initially homogeneous state is obtained.
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Regular and chaotic chemical spatiotemporal patterns.
TL;DR: The first experimental observation of a bifurcation sequence of patterns in a reaction-diffusion system is reported and steady, periodic, quasiperiodic, frequency-locked, period-doubled, and chaotic spatiotemporal states are revealed.