Results 1 to 10 of about 21,395 (266)
On Mathematics of Bubbles in Dynamical Systems
CoRR, 2021 A new concept called biased derivative is proposed. It has a potential to better understand and model some aspects of dynamical systems associated with creating bubbles.
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The simulation of dynamic systems using combined modelling
Mathematical Modelling and Analysis, 2000 The new approach to the problems of dynamic systems simulation is proposed. The analytical and imitation modelling of non‐linear complex dynamic systems which comprise simulation of continuous and discrete processes with constant and variable parameters,
R. Alzbutas, V. Janilionis
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Operadic Modeling of Dynamical Systems: Mathematics and Computation
Electronic Proceedings in Theoretical Computer Science, 2022 Dynamical systems are ubiquitous in science and engineering as models of phenomena that evolve over time. Although complex dynamical systems tend to have important modular structure, conventional modeling approaches suppress this structure. Building on recent work in applied category theory, we show how deterministic dynamical systems, discrete and ...
Sophie Libkind +3 more
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Chaos on Fuzzy Dynamical Systems
, 2021 Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with ...
Félix Martínez-Giménez +2 more
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On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]
, 2011 This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Werndl, Charlotte +3 more
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Dynamic Mathematical Models’ System and Synchronization [PDF]
Mathematical Problems in Engineering, 2021 We created the equilibrium, which includes sickness outcomes, health and risk behaviors, environmental factors, and health-related assets and delivery systems, and it should be incorporated in system Dyc (dynamic) modelling of chronic disease prevention.
Malik Bader Alazzam +2 more
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Mathematical Analysis of an Epidemic‐Species Hybrid Dynamical System [PDF]
Mathematical Problems in Engineering, 2014 We consider an epidemic‐species hybrid dynamical system. The disease is spread among the prey only and the infected prey can reproduce virus. The predator only eats the infected prey. Mathematical analyses are given for the system with regard to the existence of equilibria, local stability, Hopf bifurcation, and the orbital stability of the Hopf ...
Hui, Jing +2 more
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Gradient Infinite-Dimensional Random Dynamical Systems [PDF]
, 2012 In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous random Lyapunov function which describes the asymptotic regime of the system.
Caraballo Garrido, Tomás +2 more
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Dynamical Systems in Pure Mathematics
, 2023 Supplemental file(s) description: Interactive visualization of knot electric potential critical sets, Interactive visualization of equipotential surfaces, Python code for numerics of charged knots. ; The author's research program involves several topics which differ at first glance. However, they all share the common theme of exploring how geometry and
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