Special Issue: Symmetry in Nonequilibrium Statistical Mechanics and Dynamical Systems by Carlo Bianca

“…The recent developments in dynamical systems theory and non-equilibrium statistical mechanics have allowed the birth of new challenges and research perspectives. …”
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A Comparative Study of Three Mathematical Models for the Interaction between the Human Immune System and a Virus by Florian Munteanu

“…A qualitative analysis of these three models based on dynamical systems theory will be performed by studying the local behavior of the equilibrium points and obtaining the local dynamics properties from the linear stability point of view. …”
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New geography-mathematic approaches in the tasks of design of distribution of harmful admixtures in an atmosphere by Yu.Ya. Bunyakova

“…It is presented a qualitative overview of the new conceptual approaches, which are based on the provisions of the chaos theory, dynamical systems theory, fractal geometry, analysis of  Lyapunov exponents, and others, to problems of modeling the propagation of pollution impurities in the atmosphere of industrial cities and predicting the evolutionary dynamics. …”
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Reconceiving Cybernetics in Light of Thomistic Realism by John T. Laracy, Fr. Joseph R. Laracy

“…Since its origins in the early twentieth century as a transdisciplinary approach connecting the fields of electrical and computer engineering, mechanical engineering, dynamical systems theory, logic and discrete mathematical modeling, neuroscience, and other disciplines, cybernetics has greatly expanded in scope, addressing salient issues across the disciplinary spectrum, including the social sciences and the humanities. …”
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Periodic and homoclinic orbits in a toy climate model by M. Toner, A. D. Kirwan, Jr.

“…We apply standard perturbative techniques from dynamical systems theory to study small amplitude periodic orbits about a constant equilibrium. …”
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Differentiability of the Largest Lyapunov Exponent for Non-Planar Open Billiards by Amal Al Dowais

“…Our findings contribute to the field of dynamical systems theory and have significant implications for the stability of open billiard systems, which are used to model physical phenomena. …”
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One parameter is always enough by Steven T. Piantadosi

“…To achieve this, we apply results about the logistic map, an iterated map in dynamical systems theory that can be solved exactly. The existence of an equation fθ with this property highlights that “parameter counting” fails as a measure of model complexity when the class of models under consideration is only slightly broad.…”
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Learning from the past: reservoir computing using delayed variables by Ulrich Parlitz, Ulrich Parlitz

“…Reservoir computing is a machine learning method that is closely linked to dynamical systems theory. This connection is highlighted in a brief introduction to the general concept of reservoir computing. …”
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Świadomość jako system względnie izolowany. U podstaw Ingardenowej ontologii umysłu (Consciousness as a relatively isolated system. Fundamentals of Ingardenian ontology of mind)... by Robert Poczobut

“…Ingarden’s position regarding the form and mode of existence of consciousness and the role of relatively isolated system in the structure of human being is compatible with the results of contemporary research within the general systems theory, dynamical systems theory and cognitive neuroscience. Still, in many respects it exceeds their findings. …”
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Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics by C. Coulliette, C. Coulliette, S. Wiggins

“…We will focus on the use of techniques from dynamical systems theory, particularly lobe dynamics, in the forming of geometric structures that govern transport. …”
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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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Sensitive dependence of trajectories on tracer seeding positions – coherent structures in German Bight backward drift simulations by U. Callies

“…Lines across which drift behaviour changes non-smoothly are obtained as ridges in the fields of the finite-time Lyapunov exponent (FTLE), a parameter used in dynamical systems theory to identify Lagrangian coherent structures (LCSs). …”
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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. …”

A study of a three-dimensional competitive Lotka–Volterra system by Munteanu Florian

“…A qualitative analysis of this Lotka-Volterra system based on dynamical systems theory will be performed, by studying the local behavior in equilibrium points and obtaining local dynamics properties.…”
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Not All Roads Lead to Resilience: a Complex Systems Approach to the Comparative Analysis of Tortoises in Arid Ecosystems by Thomas E. J. Leuteritz, Hamid R. Ekbia

“…We borrow the notions of control parameter and collective variable from dynamical systems theory to hypothesize that in present-day societies, social parameters might in fact be the control parameters of the greater social-ecological system, and that resilience is the collective variable that captures and demonstrates the overall behavior of the system.…”
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Estimating the stochastic bifurcation structure of cellular networks. by Carl Song, Hilary Phenix, Vida Abedi, Matthew Scott, Brian P Ingalls, Mads Kaern, Theodore J Perkins

“…High throughput measurement of gene expression at single-cell resolution, combined with systematic perturbation of environmental or cellular variables, provides information that can be used to generate novel insight into the properties of gene regulatory networks by linking cellular responses to external parameters. In dynamical systems theory, this information is the subject of bifurcation analysis, which establishes how system-level behaviour changes as a function of parameter values within a given deterministic mathematical model. …”
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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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The Law of Scale Independence by Jonathan D. Phillips

“…The LSI is evaluated here from five independent perspectives: geographic intuition, dynamical systems theory, Kolmogorov entropy, hierarchy theory, and algebraic graph theory. …”
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