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Data-driven prediction in dynamical systems: recent developments
Philosophical Transactions of the Royal Society A, 2022 In recent years, we have witnessed a significant shift toward ever-more complex and ever-larger-scale systems in the majority of the grand societal challenges tackled in applied sciences. The need to comprehend and predict the dynamics of complex systems
Amin Ghadami, B. Epureanu
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Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems
Physical Review Research, 2023 In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in noninteracting strongly disordered Fermi systems after a quench.
Tuomas I. Vanhala, Teemu Ojanen
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Spectral Theory of Dynamical Systems
, 2020 This is a survey on spectral theory of dynamical systems.
Kanigowski, Adam, Lemańczyk, Mariusz
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Dynamical systems : control and stability [PDF]
, 2015 Proceedings of the 13th Conference „Dynamical Systems - Theory and Applications" summarize 164 and the Springer Proceedings summarize 60 best papers of university teachers and students, researchers and engineers from whole the world.
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A survey on impulsive dynamical systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous cases. In the former, we will show two different approaches which have been proposed to analyze such kind of dynamical systems
Everaldo Bonotto +3 more
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Dynamical Mean-Field Theory for Markovian Open Quantum Many-Body Systems
Physical Review X, 2021 A number of experimental platforms relevant for quantum simulations, ranging from arrays of superconducting circuits hosting correlated states of light to ultracold atoms in optical lattices in the presence of controlled dissipative processes, are ...
Orazio Scarlatella +3 more
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Bifurcations in dynamical systems with interior symmetry [PDF]
, 2010 We propose a definition of interior symmetry in the context of general dynamical systems. This concept appeared originally in the theory of coupled cell networks, as a generalization of the idea of symmetry of a network.
Antoneli, Fernando
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Introduction to the application of dynamical systems theory in the study of the dynamics of cosmological models of dark energy [PDF]
, 2015 The theory of dynamical systems is a very complex subject that has produced several surprises in the recent past in connection with the theory of chaos and fractals. The application of the tools of dynamical systems in cosmological settings is less known,
Ricardo Garc'ia-Salcedo +4 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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Dynamical systems theory in physiology [PDF]
Journal of General Physiology, 2011 Readers of the current issue will find something unfamiliar, perhaps tantalizing, perhaps unsettling. I am referring to the articles by Cha et al. (see [“Ionic mechanisms and Ca2+ dynamics…”][1] and [“Time-dependent changes in membrane excitability…”][2]).
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