Nonlinear Dynamics
"Nonlinear Dynamics" is a descriptor in the National Library of Medicine's controlled vocabulary thesaurus,
MeSH (Medical Subject Headings). Descriptors are arranged in a hierarchical structure,
which enables searching at various levels of specificity.
The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.
Descriptor ID |
D017711
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MeSH Number(s) |
E05.599.850 H01.548.675
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Concept/Terms |
Nonlinear Dynamics- Nonlinear Dynamics
- Dynamics, Nonlinear
- Nonlinear Dynamic
- Non-linear Dynamics
- Dynamics, Non-linear
- Non linear Dynamics
- Non-linear Dynamic
Models, Nonlinear- Models, Nonlinear
- Model, Nonlinear
- Nonlinear Model
- Nonlinear Models
- Non-linear Models
- Model, Non-linear
- Models, Non-linear
- Non linear Models
- Non-linear Model
Chaos Theory- Chaos Theory
- Chaos Theories
- Theories, Chaos
- Theory, Chaos
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Below are MeSH descriptors whose meaning is more general than "Nonlinear Dynamics".
Below are MeSH descriptors whose meaning is more specific than "Nonlinear Dynamics".
This graph shows the total number of publications written about "Nonlinear Dynamics" by people in this website by year, and whether "Nonlinear Dynamics" was a major or minor topic of these publications.
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Year | Major Topic | Minor Topic | Total |
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1995 | 0 | 1 | 1 | 2003 | 0 | 2 | 2 | 2005 | 3 | 4 | 7 | 2006 | 0 | 1 | 1 | 2007 | 2 | 1 | 3 | 2008 | 2 | 1 | 3 | 2009 | 2 | 0 | 2 | 2010 | 2 | 1 | 3 | 2011 | 2 | 5 | 7 | 2012 | 2 | 2 | 4 | 2013 | 1 | 4 | 5 | 2014 | 3 | 4 | 7 | 2015 | 1 | 3 | 4 | 2016 | 1 | 1 | 2 | 2017 | 0 | 5 | 5 | 2018 | 1 | 7 | 8 | 2019 | 1 | 0 | 1 | 2020 | 1 | 0 | 1 | 2021 | 1 | 0 | 1 | 2023 | 2 | 2 | 4 |
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Below are the most recent publications written about "Nonlinear Dynamics" by people in Profiles.
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Bortz DM, Messenger DA, Dukic V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. Bull Math Biol. 2023 10 05; 85(11):110.
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Sirlanci M, Levine ME, Low Wang CC, Albers DJ, Stuart AM. A simple modeling framework for prediction in the human glucose-insulin system. Chaos. 2023 Jul 01; 33(7).
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Littleton H, Ricca B, Allen AB, Benight C. Recovery and adjustment trajectories among Hurricane Florence survivors: Analysis utilizing nonlinear dynamic system modeling. J Trauma Stress. 2023 06; 36(3):579-592.
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Heil BJ, Crawford J, Greene CS. The effect of non-linear signal in classification problems using gene expression. PLoS Comput Biol. 2023 03; 19(3):e1010984.
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Grooms I, Robinson G. A hybrid particle-ensemble Kalman filter for problems with medium nonlinearity. PLoS One. 2021; 16(3):e0248266.
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Bonnette S, Diekfuss JA, Grooms D, Myer GD, Meehan WP, Howell DR. Integrated linear and nonlinear trunk dynamics identify residual concussion deficits. Neurosci Lett. 2020 06 11; 729:134975.
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O'Brien MK, Ahmed AA. Asymmetric valuation of gains and losses in effort-based decision making. PLoS One. 2019; 14(10):e0223268.
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Victor JD, Boie SD, Connor EG, Crimaldi JP, Ermentrout GB, Nagel KI. Olfactory Navigation and the Receptor Nonlinearity. J Neurosci. 2019 05 08; 39(19):3713-3727.
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Lainscsek C, Sampson AL, Kim R, Thomas ML, Man K, Lainscsek X, Swerdlow NR, Braff DL, Sejnowski TJ, Light GA. Nonlinear dynamics underlying sensory processing dysfunction in schizophrenia. Proc Natl Acad Sci U S A. 2019 02 26; 116(9):3847-3852.
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Kumar A, Schiff O, Barkai E, Mel BW, Poleg-Polsky A, Schiller J. NMDA spikes mediate amplification of inputs in the rat piriform cortex. Elife. 2018 12 21; 7.
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