Catastrophic Regime Shift in Water Reservoirs and São Paulo Water Supply Crisis. by Renato M Coutinho, Roberto A Kraenkel, Paulo I Prado

“…These results highlight the broader aspect that reservoir management must account for their intrinsic bistability, and should benefit from dynamical systems theory. Our case study illustrates the catastrophic consequences of failing to do so.…”
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Coevolving institutions and the paradox of informal constraints by Seligson, Daniel, McCants, Anne EC

“…In this paper, we propose a new theory that is: grounded in institutions as coevolving sources of economic growth rather than as rules constraining growth; and deployed in dynamical systems theory rather than game theory. We show that with our approach some long-standing problems are resolved, in particular, the paradoxical and perplexingly pervasive influence of informal constraints on the long-run character of economies.…”
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Singular vectors, predictability and ensemble forecasting for weather and climate by Palmer, T, Zanna, L

“…This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Lyapunov analysis: from dynamical systems theory to applications'. © 2013 IOP Publishing Ltd.…”

A patchy model for tick population dynamics with patch-specific developmental delays by Marco Tosato, Xue Zhang, Jianhong Wu

“…We obtain a coupled system of four delay differential equations with two delays, and we examine how the dynamical behaviours depend on patch-specific basic reproduction numbers and host mobility by using singular perturbation analyses and monotone dynamical systems theory. Our theoretical results and numerical simulations provide useful insights for tick population control strategies.…”
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Organization of biogeochemical nitrogen pathways with switch-like adjustment in fluctuating soil redox conditions by Sanjay Lamba, Soumen Bera, Mubasher Rashid, Alexander B. Medvinsky, Gui-Quan Sun, Claudia Acquisti, Amit Chakraborty, Bai-Lian Li

“…Here, we address this question using a kinetic modelling approach coupled with dynamical systems theory and microbial genomics. We show that alternative biochemical pathways play a key role in keeping nitrogen conversion and conservation properties invariant in fluctuating environments. …”
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Automated Techniques for the Qualitative Analysis of Ecological Models: Continuous Models by Lynn van Coller

“…In this paper, I demonstrate how various computer packages can aid qualitative analyses by implementing techniques from dynamical systems theory. Because computer software is used to obtain the results, the techniques can be used by nonmathematicians as well as mathematicians. …”
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Survival and weak chaos by Sean Nee

“…Here we incorporate effects of chaotic dynamics into the classical theory. Dynamical systems theory now distinguishes strong and weak chaos. …”
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Why Model? by Olaf eWolkenhauer, Olaf eWolkenhauer

“…I show here that mining approaches and dynamical systems theory are two ends of a spectrum of methodologies to choose from. …”
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Identifying a developmental transition in honey bees using gene expression data. by Bryan C Daniels, Ying Wang, Robert E Page, Gro V Amdam

“…These transitions can be related to bifurcations (or critical points) in dynamical systems theory. Characterizing these collective transitions is a major challenge for systems biology. …”
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Output Choice of a Chaotic Jerk Circuit Used as Transmitter in Data Secure Communications by DATCU, O., STANCIU, M., TAULEIGNE, R., BURILEANU, C., BARBOT, J.-P.

“…Usually, when analyzing a data series, dynamical systems theory is used to reconstruct the state space of the original system. …”
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Mean Flow from Phase Averages in the 2D Boussinesq Equations by Beth A. Wingate, Juliane Rosemeier, Terry Haut

“…The phase averaging technique, well-known in dynamical systems theory, relies on a mapping using the exponential operator, and then an averaging over the phase. …”
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Minimal phase-coupling model for intermittency in turbulent systems by José-Agustín Arguedas-Leiva, Enda Carroll, Luca Biferale, Michael Wilczek, Miguel D. Bustamante

“…Here, we address this problem in the framework of a minimal deterministic phase-coupling model, which enables a detailed investigation by means of dynamical systems theory and multiscale high-resolution simulations. …”
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Establishing brain states in neuroimaging data. by Zalina Dezhina, Jonathan Smallwood, Ting Xu, Federico E Turkheimer, Rosalyn J Moran, Karl J Friston, Robert Leech, Erik D Fagerholm

“…However, at the foundation of dynamical systems theory lies a definition of what constitutes the 'state' of a system-i.e., a specification of the system's future. …”
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Technical instructions and feedback reduce the shooting effectualy in no trained young subjects by C. Claramunt, N. Balagué

“…Key Words: instructions, feedback, knowledge of performance, basketball shooting, dynamical systems theory.…”
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Transport Barriers in Geophysical Flows: A Review by Sergey Prants

“…We discuss the mathematical tools, borrowed from dynamical systems theory, for detecting transport barriers in simple kinematic and dynamic models of vortical and jet-like flows. …”
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Correlation-based characterisation of time-varying dynamical complexity in the Earth's magnetosphere by R. V. Donner, G. Balasis

“…The resulting temporal complexity profile has been explored using several approaches from applied statistics, dynamical systems theory and statistical mechanics. Here, we propose an alternative way of looking at time-varying dynamical complexity of nonlinear geophysical time series utilising subtle but significant changes in the linear autocorrelation structure of the recorded data. …”
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The effect of school size and class size on school preparedness by Faye Antoniou, Mohammed H. Alghamdi, Kosuke Kawai

“…For this reason, we suggest using the cusp catastrophe model from Nonlinear Dynamical Systems Theory (NDST) to understand more fully such complex phenomena.…”
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A Quasi-Steady-State Approximation to the Basic Target-Cell-Limited Viral Dynamics Model with a Non-Cytopathic Effect by Richard A. Cangelosi, Elissa J. Schwartz, Elissa J. Schwartz, David J. Wollkind

“…Analysis of previously published target-cell limited viral dynamic models for pathogens such as HIV, hepatitis, and influenza generally rely on standard techniques from dynamical systems theory or numerical simulation. We use a quasi-steady-state approximation to derive an analytic solution for the model with a non-cytopathic effect, that is, when the death rates of uninfected and infected cells are equal. …”
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On the Potential of Reduced Order Models for Wind Farm Control: A Koopman Dynamic Mode Decomposition Approach by Nassir Cassamo, Jan-Willem van Wingerden

“…The work presented here applies the ideas motivated by non-linear dynamical systems theory—the Koopman Operator—to an innovative algorithm in the context of wind farm systems—Input Output Dynamic Mode Decomposition (IODMD)—to improve on the ability to model the aerodynamic interaction between wind turbines in a wind farm and uncover insights into the existing dynamics. …”
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Unveiling complexity: Exploring chaos and solitons in modified nonlinear Schrödinger equation by Pengfei Wang, Feng Yin, Mati ur Rahman, Meraj Ali Khan, Dumitru Baleanu

“…Using planar dynamical systems theory, we investigate bifurcation phenomena and introduce perturbations to reveal chaotic behaviors. …”
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