Chaos, as a research area, investigates the behavior of deterministic nonlinear dynamical systems that exhibit sensitive dependence on initial conditions, leading to aperiodic, seemingly random evolution in phase space despite underlying determinism. It encompasses the study of strange attractors, bifurcation structures, Lyapunov exponents, fractal dimensions, and invariant measures, with applications across physics, chemistry, biology, engineering, and economics. Research in chaos focuses on rigorous characterization of chaotic regimes, routes to chaos (such as period-doubling and intermittency), control and synchronization of chaotic systems, and numerical and analytical methods for modeling, predicting, and quantifying complex spatiotemporal dynamics.
The turbulent motion of a tumbling river or the outflow from a jet engine is chaotic: that is, it contains no obvious pattern.
General Physics
Mar 20, 2024
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A new study has unveiled a significant advancement in chaos theory, introducing a flux-based statistical theory that predicts chaotic outcomes in non-hierarchical three-body systems. This breakthrough holds practical implications ...
General Physics
Feb 13, 2024
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494
Weather forecasting is important for various sectors, including agriculture, military operations, and aviation, as well as for predicting natural disasters like tornados and cyclones. It relies on predicting the movement ...
General Physics
Jan 4, 2024
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910
Nothing in the world is perfect. This is also true in materials research. In computer simulations, one often represents a system in a highly idealized way; for example, one calculates the properties that an absolutely perfect ...
Nanophysics
Aug 29, 2023
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Chaotic behavior is typically known from large systems: for example, from weather, from asteroids in space that are simultaneously attracted by several large celestial bodies, or from swinging pendulums that are coupled together. ...
Nanophysics
Feb 27, 2023
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Hybridization chain reaction refers to an enzyme-free nucleic acid polymerization reaction. A target molecule triggers cascade hybridization reactions by several thermodynamically stable DNA fuel strands, producing ultra-long ...
Bio & Medicine
Nov 28, 2022
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110
A silicon device that can change skin tissue into blood vessels and nerve cells has advanced from prototype to standardized fabrication, meaning it can now be made in a consistent, reproducible way. As reported in Nature ...
Bio & Medicine
Nov 29, 2021
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