Results 51 to 60 of about 1,865,782 (225)
Chaotic Dynamics in Asymmetric Rock-Paper-Scissors Games
IEEE Access, 2019 Evolutionary game dynamics is a combination of game theory and dynamical systems. Using dynamical theory, we investigate chaotic behavior in asymmetric Rock-Paper-Scissors games under imitative dynamics with two different populations.
Wenjun Hu +3 more
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Global theory of nonlinear systems-chaos, knots and stability [PDF]
Acta Montanistica Slovaca, 2003 In this paper we shall give a brief overview of nonlinear dynamical systems theory including the theory of chaos, knots, approximation theory and stability.
Banks Stephen P.
doaj
Thermodynamic and dynamical predictions for bifurcations and non-equilibrium phase transitions
Communications Physics, 2023 “Critical transitions”, in which systems switch abruptly from one state to another are ubiquitous in physical and biological systems. Such critical transitions in complex systems are commonly described as dynamical processes within the framework of ...
Han Yan, Feng Zhang, Jin Wang
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Dynamical stability and chaos in artificial neural network trajectories along training
Frontiers in Complex SystemsThe process of training an artificial neural network involves iteratively adapting its parameters so as to minimize the error of the network’s prediction, when confronted with a learning task.
Kaloyan Danovski +2 more
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Ergodicity of hard spheres in a box [PDF]
Ergodic Theory and Dynamical Systems Vol. 19 (1999), pp. 741--766, 1997 We prove that the system of two hard balls in a $\nu$-dimensional ($\nu\ge2$) rectangular box is ergodic and, therefore, actually it is a Bernoulli flow.
arxiv +1 more source
Entropy, 2014 Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era.
Wassim M. Haddad +2 more
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Topological field theory of dynamical systems [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012 Here, it is shown that the path-integral representation of any stochastic or deterministic continuous-time dynamical model is a cohomological or Witten-type topological field theory, i.e., a model with global topological supersymmetry (Q-symmetry). As many other supersymmetries, Q-symmetry must be perturbatively stable due to what is generically known ...
openaire +4 more sources
Leafwise cohomological expression of dynamical zeta functions on foliated dynamical systems [PDF]
arXiv, 2019 A Riemmanian foliated dynamical system of 3-dimension $(\mathrm{RFDS}^{3})$ is a closed Riemannian 3-manifold with additional structures: foliation, dynamical system. In the context of arithmetic topology, it is a geometric/analytic analogue of an arithmetic scheme with a conjectural dynamical system suggested by C. Deninger.
arxiv
On the Relation between Topological Entropy and Restoration Entropy
Entropy, 2018 In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most
Christoph Kawan
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Controlling complex dynamical systems based on the structure of the networks
Biophysics and Physicobiology, 2023 Progress of molecular biology resulted in the accumulation of information on biomolecular interactions, which are complex enough to be termed as networks.
Atsushi Mochizuki
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