Results 31 to 40 of about 875,864 (151)

Generalized Lyapunov exponent as a unified characterization of dynamical instabilities

, 2014
The Lyapunov exponent characterizes an exponential growth rate of the difference of nearby orbits. A positive Lyapunov exponent is a manifestation of chaos.
Aizawa, Yoji, Akimoto, Takuma, Nakagawa, Masaki, Shinkai, Soya   +3 more
core   +1 more source

Jacobian algebras with periodic module category and exponential growth [PDF]

, 2015
The Jacobian algebra associated to a triangulation of a closed surface $S$ with a collection of marked points $M$ is (weakly) symmetric and tame. We show that for these algebras the Auslander-Reiten translate acts 2-periodical on objects.
Valdivieso-Díaz, Yadira
core   +2 more sources

Models for plant self‐thinning

Ecosphere, 2018
Plant self‐thinning, which is density‐dependent mortality, has several observed characteristics, including a certain mathematical relationship between growth and density. The original equation that describes self‐thinning is logw¯=C−(3/2)×logdensity, w¯ =
R. K. Wade
doaj   +1 more source

Exponential growth of colored HOMFLY-PT homology

, 2019
We define reduced colored sl(N) link homologies and use deformation spectral sequences to characterize their dependence on color and rank. We then define reduced colored HOMFLY-PT homologies and prove that they arise as large N limits of sl(N) homologies.
Wedrich, Paul
core   +1 more source

The Human Ecology of Overshoot: Why a Major ‘Population Correction’ Is Inevitable

World, 2023
Homo sapiens has evolved to reproduce exponentially, expand geographically, and consume all available resources. For most of humanity’s evolutionary history, such expansionist tendencies have been countered by negative feedback.
William E. Rees
doaj   +1 more source

Exponential growth for self-reproduction in a catalytic reaction network: relevance of a minority molecular species and crowdedness

New Journal of Physics, 2018
Explanation of exponential growth in self-reproduction is an important step toward elucidation of the origins of life because optimization of the growth potential across rounds of selection is necessary for Darwinian evolution.
Atsushi Kamimura, Kunihiko Kaneko
doaj   +1 more source

Paradoxical Effects of Tumor Shrinkage on Long-Term Survival of Cancer Patients

Frontiers in Applied Mathematics and Statistics, 2020
In this article, we challenge the existing paradigm that greater tumor shrinkage at the end of treatment leads to longer patient survival. In particular, we identify biological conditions under which the exact opposite is true.
Leonid Hanin
doaj   +1 more source

Probing Mammalian Cell Size Homeostasis by Channel-Assisted Cell Reshaping

Cell Reports, 2017
Cell size homeostasis can be achieved by size checkpoints that couple cell size to cell-cycle progression or by alternative mechanisms such as constant extension.
Giulia Varsano, Yuedi Wang, Min Wu
doaj   +1 more source

Size-Specific Growth of Filter-Feeding Marine Invertebrates

Journal of Marine Science and Engineering, 2022
Filter-feeding invertebrates are found in almost all of the animal classes that are represented in the sea, where they are the necessary links between suspended food particles (phytoplankton and free-living bacteria) and the higher trophic levels in the ...
Poul S. Larsen, Hans Ulrik Riisgård
doaj   +1 more source

Ionically Paired Layer-by-Layer Hydrogels: Water and Polyelectrolyte Uptake Controlled by Deposition Time

Gels, 2018
Despite intense recent interest in weakly bound nonlinear (“exponential”) multilayers, the underlying structure-property relationships of these films are still poorly understood.
Victor Selin, John F. Ankner, Svetlana A. Sukhishvili   +2 more
doaj   +1 more source