Qualitative analysis of a tourism area life cycle model for interacting tourism destinations by M. Rodrigo, I. Ajala, A.K. Irhanida

“…Three types of interaction dynamics are investigated: competition, mutualism (or cooperation) and predator–prey. Using dynamical systems theory, aqualitative analysis of the proposed model is performed and all possible tourist equilibria are identified. …”
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Temporal Asymmetry, Entropic Irreversibility, and Finite-Time Thermodynamics: From Parmenides–Einstein Time-Reversal Symmetry to the Heraclitan Entropic Arrow of Time by Wassim M. Haddad

“…In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. …”
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Corticosterone oscillations during mania induction in the lateral hypothalamic kindled rat-Experimental observations and mathematical modeling. by Osama A Abulseoud, Man Choi Ho, Doo-Sup Choi, Ana Stanojević, Željko Čupić, Ljiljana Kolar-Anić, Vladana Vukojević

“…Synergistic combination of the LHK rat model and dynamical systems theory allows us to quantitatively characterize changes in HPA axis activity under controlled induction of acute manic-like states and provides a framework to study in silico how the dynamic integration of neurochemical transformations underlying the HPA axis is disrupted in these states.…”
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OSCILLATORY AND COMPETING INSTABILITIES IN A NONLINEAR MODEL FOR LANGMUIR CIRCULATIONS by Moroz, I, Leibovich, S

“…Techniques from dynamical systems theory are used to derive equations which describe nonlinear oscillatory convection and the multiple bifurcation, whose character has been explored in the literature. …”

Coupled quintessence and the impossibility of an interaction: a dynamical analysis study by Fabrízio F. Bernardi, Ricardo G. Landim

“…Abstract We analyze the coupled quintessence in the light of the linear dynamical systems theory, with two different interactions: (1) proportional to the energy density of the dark energy and (2) proportional to the sum of the energy densities of the dark matter and dark energy. …”
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Multi-condensate state as a functional strategy to optimize the cell signaling output by Aniruddha Chattaraj, Eugene I. Shakhnovich

“…We combine Langevin dynamics, reaction-diffusion simulation, and dynamical systems theory to demonstrate that MCS can indeed be a function optimization strategy. …”
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Study of self-oscillations of a distributed rotor from a material with hereditarily elastic properties by E.P. Kubyshkin

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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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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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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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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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The Dynamical Footprint of Year‐Round North American Weather Regimes by Simon H. Lee, Gabriele Messori

“…Here, we adopt a year‐round classification of four North American weather regimes, with a fifth “no regime” class, and leverage dynamical systems theory to investigate their dynamical properties. …”
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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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