Results 1 to 10 of about 48,070 (79)
Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping [PDF]
, 2002 Basins generated by a noninvertible mapping formed by two symmetrically coupled logistic maps are studied when the only parameter \lambda of the system is modified.
Collet P. +3 more
core +1 more source
Symbolic extensions in intermediate smoothness on surfaces [PDF]
, 2011 We prove that $\mathcal{C}^r$ maps with $r>1$ on a compact surface have symbolic extensions, i.e. topological extensions which are subshifts over a finite alphabet.
Burguet, David
core +4 more sources
Mutual synchronization and clustering in randomly coupled chaotic dynamical networks [PDF]
, 1999 We introduce and study systems of randomly coupled maps (RCM) where the relevant parameter is the degree of connectivity in the system. Global (almost-) synchronized states are found (equivalent to the synchronization observed in globally coupled maps ...
A.S. Mikhailov +34 more
core +2 more sources
Rare events, escape rates and quasistationarity: some exact formulae [PDF]
, 2008 We present a common framework to study decay and exchanges rates in a wide class of dynamical systems. Several applications, ranging form the metric theory of continuons fractions and the Shannon capacity of contrained systems to the decay rate of ...
A. Lasota +22 more
core +1 more source
Robust Emergent Activity in Dynamical Networks [PDF]
, 2005 We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes.
B. Bollobas +4 more
core +2 more sources
Open circle maps: Small hole asymptotics
, 2012 We consider escape from chaotic maps through a subset of phase space, the hole. Escape rates are known to be locally constant functions of the hole position and size.
Dettmann, Carl
core +1 more source
Concepts of quantum non-Markovianity: a hierarchy
, 2018 Markovian approximation is a widely-employed idea in descriptions of the dynamics of open quantum systems (OQSs). Although it is usually claimed to be a concept inspired by classical Markovianity, the term quantum Markovianity is used inconsistently and ...
Hall, Michael J. W. +2 more
core +1 more source
Simultaneous Border-Collision and Period-Doubling Bifurcations
, 2009 We unfold the codimension-two simultaneous occurrence of a border-collision bifurcation and a period-doubling bifurcation for a general piecewise-smooth, continuous map.
Angulo F. +7 more
core +1 more source
The long-term stability of extrasolar system HD 37124. Numerical study of resonance effects [PDF]
, 2007 We describe numerical tools for the stability analysis of extrasolar planetary systems. In particular, we consider the relative Poincare variables and symplectic integration of the equations of motion.
Arnold +42 more
core +1 more source
Picture of the low-dimensional structure in chaotic dripping faucets
, 2002 Chaotic dynamics of the dripping faucet was investigated both experimentally and theoretically. We measured continuous change in drop position and velocity using a high-speed camera.
Ambravaneswaran +30 more
core +1 more source