Open Access
Introduction to Nonlinear Science
Grégoire Nicolis
- pp 270
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TLDR
In this article, the authors describe nonlinear behavior in the physical sciences and biology: some typical examples of nonlinear behaviour in physics and biology, including the following: linear stability analysis of fixed points, bifurcation analysis, broken symmetries, pattern formation.Abstract:
Preface 1. Nonlinear behavior in the physical sciences and biology: some typical examples 2. Quantitative formulation 3. Dynamical systems with a finite number of degrees of freedom 4. Linear stability analysis of fixed points 5. Nonlinear behavior around fixed points: bifurcation analysis 6. Spatially distributed systems, broken symmetries, pattern formation 7. Chaotic dynamics Appendices References Index.read more
Citations
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The world of the complex Ginzburg-Landau equation
Igor S. Aranson,Lorenz Kramer +1 more
TL;DR: The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear equations in the physics community as mentioned in this paper, it describes a vast variety of phenomena from nonlinear waves to second-order phase transitions, from superconductivity, superfluidity, and Bose-Einstein condensation to liquid crystals and strings in field theory.
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Diffusion and related transport mechanisms in brain tissue
TL;DR: The recent methods use a point-source paradigm coupled with micro-sensors or optical imaging of macromolecules labelled with fluorescent tags, likely to be applicable elsewhere to measure diffusion properties in very small volumes of highly structured but delicate material.
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Earth's Critical Zone and hydropedology: concepts, characteristics, and advances
TL;DR: The Critical Zone (CZ) is a holistic framework for integrated studies of water with soil, rock, air, and biotic resources in the near-surface terrestrial environment as mentioned in this paper.
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The complex dynamics of high performance teams
TL;DR: The connectivity of a team is highly correlated with its performance; different types of attractors occur in phase space depending on the team's connectivity and performance level: low performance teams show point attractors, medium performance Teams show limit cycles, and high performance teams shows low-dimensional chaotic attractors.
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Prionics or the kinetic basis of prion diseases.
TL;DR: The premise of a linkage between prion aggregation and infection offers a very sensitive method for diagnosing the disease at a very early stage, using fluorescence cross-correlation analysis.
References
More filters
Journal ArticleDOI
The world of the complex Ginzburg-Landau equation
Igor S. Aranson,Lorenz Kramer +1 more
TL;DR: The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear equations in the physics community as mentioned in this paper, it describes a vast variety of phenomena from nonlinear waves to second-order phase transitions, from superconductivity, superfluidity, and Bose-Einstein condensation to liquid crystals and strings in field theory.
Journal ArticleDOI
Diffusion and related transport mechanisms in brain tissue
TL;DR: The recent methods use a point-source paradigm coupled with micro-sensors or optical imaging of macromolecules labelled with fluorescent tags, likely to be applicable elsewhere to measure diffusion properties in very small volumes of highly structured but delicate material.
Journal ArticleDOI
Earth's Critical Zone and hydropedology: concepts, characteristics, and advances
TL;DR: The Critical Zone (CZ) is a holistic framework for integrated studies of water with soil, rock, air, and biotic resources in the near-surface terrestrial environment as mentioned in this paper.
Journal ArticleDOI
The complex dynamics of high performance teams
TL;DR: The connectivity of a team is highly correlated with its performance; different types of attractors occur in phase space depending on the team's connectivity and performance level: low performance teams show point attractors, medium performance Teams show limit cycles, and high performance teams shows low-dimensional chaotic attractors.
Journal ArticleDOI
Prionics or the kinetic basis of prion diseases.
TL;DR: The premise of a linkage between prion aggregation and infection offers a very sensitive method for diagnosing the disease at a very early stage, using fluorescence cross-correlation analysis.
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