Results 51 to 60 of about 140,172 (317)
Attractors in hyperspace [PDF]
Topological Methods in Nonlinear Analysis, 2016 Given a map $\Phi$ defined on bounded subsets of the (base) metric space $X$ and with bounded sets as its values, one can follow the orbits $A$, $\Phi(A)$, $\Phi^2(A)$, $\ldots$, of nonempty, closed, and bounded sets $A$ in $X$. This is the system $(\Phi, X)$.
Kapitanski, Lev +1 more
openaire +2 more sources
Ergodic Theory and Dynamical Systems, 1981 AbstractLet f be a diffeomorphism of a manifold and Λ be an f-invariant set supporting an ergodic Borel probability measure μ with certain properties. A lower bound on the capacity of Λ is given in terms of the μ-Lyapunov exponents. This applies in particular to Axiom A attractors and their Bowen-Ruelle measure.
openaire +3 more sources
Inflation as an attractor in scalar cosmology
, 2013 We study an inflation mechanism based on attractor properties in cosmological evolutions of a spatially flat Friedmann-Robertson-Walker spacetime based on the Einstein-scalar field theory. We find a new way to get the Hamilton-Jacobi equation solving the
Kim, Hyeong-Chan
core +1 more source
String attractors and combinatorics on words [PDF]
, 2019 The notion of string attractor has recently been introduced in [Prezza, 2017] and studied in [Kempa and Prezza, 2018] to provide a unifying framework for known dictionary-based compressors.
Mantaci S. +4 more
core
Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
wiley +1 more source
Systems, 2016 Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions.
Geoff Boeing
doaj +1 more source
Topological analysis of differential effects of ketamine and propofol anaesthesia on brain dynamics
Royal Society Open Science, 2021 Research has found that the vividness of conscious experience is related to brain dynamics. Despite both being anaesthetics, propofol and ketamine produce different subjective states: we explore the different effects of these two anaesthetics on the ...
Thomas F. Varley +3 more
doaj +1 more source
Non-Supersymmetric Attractors in $R^2$ Gravities
, 2006 We investigate the attractor mechanism for spherically symmetric extremal black holes in a theory of general $R^2$ gravity in 4-dimensions, coupled to gauge fields and moduli fields.
A. Dabholkar +29 more
core +4 more sources
Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
wiley +1 more source
Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns
Mathematical Modelling and Analysis, 2017 In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3.
Aibo Liu, Changchun Liu
doaj +1 more source