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We study the spatial patterns formed by interacting populations or reacting chemicals under the influence of chaotic flows. In particular, we have considered a three-component model of plankton dynamics advected by a meandering jet. We…

We present here a number of processes, inspired by concepts in Nonlinear Dynamics such as chaotic advection and excitability, that can be useful to understand generic behaviors in chemical or biological systems in fluid flows. Emphasis is…

混沌动力学 · 物理学 2007-05-23 Emilio Hernandez-Garcia , Cristobal Lopez , Zoltan Neufeld

The study of biological cells in terms of mesoscopic, nonequilibrium, nonlinear, stochastic dynamics of open chemical systems provides a paradigm for other complex, self-organizing systems with ultra-fast stochastic fluctuations, short-time…

化学物理 · 物理学 2014-11-06 Hong Qian

Lagrangian transport structures for three-dimensional and time-dependent fluid flows are of great interest in numerous applications, particularly for geophysical or oceanic flows. In such flows, chaotic transport and mixing can play…

流体动力学 · 物理学 2014-05-09 Rodolphe Chabreyrie , Stefan G. Llewellyn Smith

Strong nonlinear effects combined with diffusive coupling may give rise to unpredictable evolution in spatially extended deterministic dynamical systems even in the presence of a fully negative spectrum of Lyapunov exponents. This regime,…

混沌动力学 · 物理学 2009-11-07 F. Ginelli , R. Livi , A. Politi

Non-reciprocal interactions between microscopic constituents can profoundly shape the large-scale properties of complex systems. Here, we investigate the effects of non-reciprocity in the context of theoretical ecology by analyzing a…

生物物理 · 物理学 2024-03-25 Emmy Blumenthal , Jason W. Rocks , Pankaj Mehta

The composition of ecological communities varies not only between different locations but also in time. Understanding the fundamental processes that drive species towards rarity or abundance is crucial to assessing ecosystem resilience and…

种群与进化 · 定量生物学 2024-11-22 Emil Mallmin , Arne Traulsen , Silvia De Monte

Nonreciprocal interactions-- where forces between entities are asymmetric-- govern a wide range of nonequilibrium phenomena, yet their role in structural transitions in living and active systems remains elusive. Here, we demonstrate a…

We investigate the effect of cooperative interactions in an ensemble of microorganisms, modelled as self-propelled disk-like and rod-like particles, in a three-dimensional turbulent flow to show flocking as an emergent phenomenon. Building…

软凝聚态物质 · 物理学 2020-05-20 Anupam Gupta , Amal Roy , Arnab Saha , Samriddhi Sankar Ray

Individuals within any species exhibit differences in size, developmental state, or spatial location. These differences coupled with environmental fluctuations in demographic rates can have subtle effects on population persistence and…

种群与进化 · 定量生物学 2015-12-16 Gregory Roth , Sebastian J. Schreiber

Non-reciprocal interactions in active matter gives rise to a multitude of fascinating phenomena among which are collective oscillatory states without intrinsic particle chirality and active turbulence. Here we show that in a paradigmatic…

统计力学 · 物理学 2026-04-09 Chul-Ung Woo , Jae Dong Noh , Heiko Rieger

Two important classes of spatio-temporal patterns, namely, spatio-temporal chaos and self-replicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with diffusion has been studied. The…

chao-dyn · 物理学 2015-06-24 Nita Parekh , V. Ravi Kumar , B. D. Kulkarni

Linearized catalytic reaction equations modeling e.g. the dynamics of genetic regulatory networks under the constraint that expression levels, i.e. molecular concentrations of nucleic material are positive, exhibit nontrivial dynamical…

无序系统与神经网络 · 物理学 2015-05-18 Rudolf Hanel , Manfred Pöchacker , Stefan Thurner

Many biological ecosystems exhibit chaotic behavior, demonstrated either analytically using parameter choices in an associated dynamical systems model or empirically through analysis of experimental data. In this paper, we provide a…

动力系统 · 数学 2016-04-26 B. C. Dean , E. Dimitrova , A. Galande , E. W. Jenkins , S. Koshy

We introduce a ``spatial'' Lyapunov exponent to characterize the complex behavior of non chaotic but convectively unstable flow systems. This complexity is of spatial type and is due to sensitivity to the boundary conditions. We show that…

chao-dyn · 物理学 2009-10-31 M. Falcioni , D. Vergni , A. Vulpiani

The spatial distribution of interacting chemical fields is investigated in the non-diffusive limit. The evolution of fluid parcels is described by independent dynamical systems driven by chaotic advection. The distribution can be filamental…

chao-dyn · 物理学 2009-10-31 Zoltan Neufeld , Cristobal Lopez , Peter H. Haynes

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

We study phase-separating fluid mixtures as they demix in the presence of chemical reactions that maintain them away from thermodynamic equilibrium. We show that in such chemically active emulsions the interplay of chemical reactions, phase…

流体动力学 · 物理学 2025-09-22 Charu Datt , Jonathan Bauermann , Nazmi Burak Budanur , Frank Jülicher

A great number of biological organisms live in aqueous environments. Major evolutionary transitions, including the emergence of life itself, likely occurred in such environments. While the chemical aspects of the role of water in biology…

种群与进化 · 定量生物学 2020-07-01 Madison S. Krieger , Sam Sinai , Martin A. Nowak

A discrete-time model of reacting evolving fields, transported by a bidimensional chaotic fluid flow, is studied. Our approach is based on the use of a Lagrangian scheme where {\it fluid particles} are advected by a $2d$ symplectic map…

混沌动力学 · 物理学 2019-08-17 Cristobal Lopez , Emilio Hernandez-Garcia , Oreste Piro , Angelo Vulpiani , Enrico Zambianchi
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