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The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The fluctuation of dynamic order parameter has been studied as a function of…

凝聚态物理 · 物理学 2009-10-30 Muktish Acharyya

The realization that complex systems such as ecological communities can collapse or shift regimes suddenly and without rapid external forcing poses a serious challenge to our understanding and management of the natural world. The potential…

种群与进化 · 定量生物学 2013-05-30 Carl Boettiger , Noam Ross , Alan Hastings

Hydrodynamic instabilities often cause spatio-temporal pattern formations and transitions between them. We investigate a model experimental system, a density oscillator, where the bifurcation from a resting state to an oscillatory state is…

斑图形成与孤子 · 物理学 2020-02-26 Hiroaki Ito , Taisuke Itasaka , Nana Takeda , Hiroyuki Kitahata

We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter. Here tipping refers to the dramatic change in dynamical behavior…

经典分析与常微分方程 · 数学 2015-08-28 Jielin Zhu , Rachel Kuske , Thomas Erneux

Recent work has provided ample evidence that nonlinear methods of time series analysis potentially allow for detecting periods of anomalous dynamics in paleoclimate proxy records that are otherwise hidden to classical statis- tical…

大气与海洋物理 · 物理学 2018-09-27 Jasper G. Franke , Reik V. Donner

Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in the last years. For such systems, we report a remarkable scenario of destabilization of a…

混沌动力学 · 物理学 2015-05-28 Vladimir Klinshov , Leonhard Lücken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk

Some ODE models treat ecological disturbance as a continuous process, even disturbances such as fire that occur almost instantaneously on the timescale of system recovery. Alternatively, flow-kick models resolve disturbances as discrete…

动力系统 · 数学 2024-12-09 Katherine Meyer , Horace Fusco , Collin Smith , Alanna Hoyer-Leitzel

The Atlantic Meridional Overturning Circulation (AMOC), a crucial ocean current system, could transition to a weak state. Despite severe associated climate impacts, assessing the AMOC's response under global warming and its proximity to…

混沌动力学 · 物理学 2026-03-09 Reyk Börner , Oliver Mehling , Jost von Hardenberg , Valerio Lucarini

We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

种群与进化 · 定量生物学 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

Critical transitions, or large changes in the state of a system after a small change in the system's external conditions or parameters, commonly occur in a wide variety of disciplines, from the biological and social sciences to physics.…

统计力学 · 物理学 2021-10-26 George I. Hagstrom , Simon A. Levin

A hanging glacier at the east face of Weisshorn broke off in 2005. We were able to monitor and measure surface motion and icequake activity for 21 days up to three days prior to the break-off. Results are presented from the analysis of…

地球物理 · 物理学 2009-07-01 J. Faillettaz , M. Funk , D. Sornette

Much work has been done on relaxation oscillations and other simple oscillators in conceptual climate models. However, the oscillatory patterns in climate data are often more complicated than what can be described by such mechanisms. This…

In ecology, climate and other fields, (sub)systems have been identified that can transition into a qualitatively different state when a critical threshold or tipping point in a driving process is crossed. An understanding of those tipping…

地球物理 · 物理学 2020-09-16 Ann Kristin Klose , Volker Karle , Ricarda Winkelmann , Jonathan F. Donges

Klaus Hasselmann's revolutionary intuition in climate science was to take advantage of the stochasticity associated with fast weather processes to probe the slow dynamics of the climate system. This has led to fundamentally new ways to…

大气与海洋物理 · 物理学 2023-12-27 Valerio Lucarini , Mickaël Chekroun

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

混沌动力学 · 物理学 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

Abrupt and rapid high-amplitude changes in a dynamical system's states known as extreme event appear in many processes occurring in nature, such as drastic climate patterns, rogue waves, or avalanches. These events often entail catastrophic…

流体动力学 · 物理学 2023-06-29 Urszula Golyska , Nguyen Anh Khoa Doan

A model of the premelting fluctuations is proposed, based on the Landau mean field theory applied to a first-order phase transition. Using the thermodynamic potential, the nonlinear Langevin equation for the order parameter is formulated,…

介观与纳米尺度物理 · 物理学 2020-03-24 Pavel Golovinski

Critical transitions occur in a wide variety of applications including mathematical biology, climate change, human physiology and economics. Therefore it is highly desirable to find early-warning signs. We show that it is possible to…

动力系统 · 数学 2015-03-17 Christian Kuehn

Numerical climate models are used to project future climate change due to both anthropogenic and natural causes. Differences between projections from different climate models are a major source of uncertainty about future climate. Emergent…

应用统计 · 统计学 2020-02-06 Philip G. Sansom , David B. Stephenson , Thomas J. Bracegirdle

We analyst in detail a new approach to the monitoring and forecasting of the onset of transitions in high dimensional complex systems (see Phys. Rev. Lett . vol. 113, 264102 (2014)) by application to the Tangled Nature Model of evolutionary…

适应与自组织系统 · 物理学 2015-08-03 Duccio Piovani , Jelena Grujic , Henrik Jeldtoft Jensen