Results 41 to 50 of about 3,332 (64)
Linear Fractional p-Adic and Adelic Dynamical Systems
, 2006 Using an adelic approach we simultaneously consider real and p-adic aspects of dynamical systems whose states are mapped by linear fractional transformations isomorphic to some subgroups of GL (2, Q), SL (2, Q) and SL (2, Z) groups.
Albeverio +20 more
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The continuous limit of large random planar maps [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulations with $n$ faces. This leads to a limiting space called the Brownian map, which is viewed as a random compact metric space.
Jean-François Le Gall
doaj +1 more source
, 2010 We prove a uniqueness result for limit cycles of the second order ODE $\ddot x + \dot x \phi(x,\dot x) + g(x) = 0$. Under mild additional conditions, we show that such a limit cycle attracts every non-constant solution.
Bhatia +14 more
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Plane recursive trees, Stirling permutations and an urn model [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We exploit a bijection between plane recursive trees and Stirling permutations; this yields the equivalence of some results previously proven separately by different methods for the two types of objects as well as some new results.
Svante Janson
doaj +1 more source
Adaptive Complex Contagions and Threshold Dynamical Systems [PDF]
, 2013 A broad range of nonlinear processes over networks are governed by threshold dynamics. So far, existing mathematical theory characterizing the behavior of such systems has largely been concerned with the case where the thresholds are static.
Chang, Leon +4 more
core
, 2007 The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied.
Arnold V. +11 more
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Generating Functions of Stochastic L-Systems and Application to Models of Plant Development [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 If the interest of stochastic L-systems for plant growth simulation and visualization is broadly acknowledged, their full mathematical potential has not been taken advantage of.
Cedric Loi, Paul Henry Cournède
doaj +1 more source
Compression and diffusion: a joint approach to detect complexity
, 2002 The adoption of the Kolmogorov-Sinai (KS) entropy is becoming a popular research tool among physicists, especially when applied to a dynamical system fitting the conditions of validity of the Pesin theorem.
Allegrini, P. +10 more
core +3 more sources
Orbits of the Bernoulli measure in single-transition asynchronous cellular automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study iterations of the Bernoulli measure under nearest-neighbour asynchronous binary cellular automata (CA) with a single transition. For these CA, we show that a coarse-level description of the orbit of the Bernoulli measure can be obtained, that is,
Henryk Fukś, Andrew Skelton
doaj +1 more source
Superconvergence of Topological Entropy in the Symbolic Dynamics of Substitution Sequences
, 2018 We consider infinite sequences of superstable orbits (cascades) generated by systematic substitutions of letters in the symbolic dynamics of one-dimensional nonlinear systems in the logistic map universality class.
Flicker, Felix, Zaporski, Leon
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