Results 11 to 20 of about 4,078 (232)
Axioms, 2015 Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Török
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Multifrequency optical lattice for dynamic lattice-geometry control
Physical Review Research, 2022 Ultracold atoms in optical lattices are pristine model systems with a tunability and flexibility that goes beyond solid-state analogies, e.g., dynamical lattice-geometry changes allow tuning a graphene lattice into a boron-nitride lattice.
M. N. Kosch +4 more
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Phonons of electronic crystals in two‐dimensional semiconductor moiré patterns
Natural Sciences, 2023 We theoretically studied the phonon properties of the triangular‐, stripe‐, and honeycomb‐type electronic crystals recently found in two‐dimensional semiconductor moiré patterns.
Hongyi Yu, Jiyong Zhou
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Computational aspects of large-length cycle search algorithms for nonlinear discrete systems
Trudy Odesskogo Politehničeskogo Universiteta, 2019 Even the simplest nonlinear discrete systems dynamics is very complex. It includes both periodic movements and quasi-periodic or recurrent ones. In such systems, almost always present are the chaotic attractors, whose nature is currently well studied ...
Іван Михайлович Скринник +3 more
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Topological conjugacy and structural stability for discrete dynamical systems [PDF]
Bulletin of the American Mathematical Society, 1972 Topological conjugacy and various concepts of structural stability are defined, motivated, and criticized. Two basic problems emerge: characterization of structural stability and classification up to topological conjugacy. Solutions to these problems are outlined for linear automorphisms and the general characterization problem is discussed. This paper
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Discrete Dynamics in Nature and Society, 2014 The modified projective outer synchronization between two different fractional order complex dynamical networks with different node dynamics and different topological structures is investigated in this paper.
Hong-juan Liu +3 more
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Topological stability criteria for networking dynamical systems with Hermitian Jacobian
European Journal of Applied Mathematics, 2016 The central theme of complex systems research is to understand the emergent macroscopic properties of a system from the interplay of its microscopic constituents. The emergence of macroscopic properties is often intimately related to the structure of the microscopic interactions. Here, we present an analytical approach for deriving necessary conditions
Do, A. L. +4 more
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Advanced Chemical Computing Using Discrete Turing Patterns in Arrays of Coupled Cells
Frontiers in Chemistry, 2020 We examine dynamical switching among discrete Turing patterns that enable chemical computing performed by mass-coupled reaction cells arranged as arrays with various topological configurations: three coupled cells in a cyclic array, four coupled cells in
František Muzika +2 more
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Additive functions in boolean models of gene regulatory network modules. [PDF]
PLoS ONE, 2011 Gene-on-gene regulations are key components of every living organism. Dynamical abstract models of genetic regulatory networks help explain the genome's evolvability and robustness.
Christian Darabos +5 more
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Deciphering the imprint of topology on nonlinear dynamical network stability
New Journal of Physics, 2017 Coupled oscillator networks show complex interrelations between topological characteristics of the network and the nonlinear stability of single nodes with respect to large but realistic perturbations.
J Nitzbon +4 more
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