Results 1 to 10 of about 48,270 (72)

Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping [PDF]

open access: yes, 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

Trojan pairs in the HD 128311 and HD 82943 planetary systems? [PDF]

open access: yes, 2006
Two nearby stars, HD 128311 and HD 82943, are believed to host pairs of Jupiter-like planets involved in a strong first order 2:1 mean motion resonance (MMR).
Gozdziewski, Krzysztof, Konacki, Maciej
core   +2 more sources

Transport in Transitory Dynamical Systems [PDF]

open access: yes, 2010
We introduce the concept of a "transitory" dynamical system---one whose time-dependence is confined to a compact interval---and show how to quantify transport between two-dimensional Lagrangian coherent structures for the Hamiltonian case.
B. A. Mosovsky, J. D. Meiss, Kaper T. J.
core   +1 more source

The Lagrangian description of aperiodic flows: a case study of the Kuroshio Current [PDF]

open access: yes, 2012
This article reviews several recently developed Lagrangian tools and shows how their combined use succeeds in obtaining a detailed description of purely advective transport events in general aperiodic flows.
Mancho, Ana M., Mendoza, Carolina
core   +4 more sources

Lyapunov exponent and natural invariant density determination of chaotic maps: An iterative maximum entropy ansatz

open access: yes, 2009
We apply the maximum entropy principle to construct the natural invariant density and Lyapunov exponent of one-dimensional chaotic maps. Using a novel function reconstruction technique that is based on the solution of Hausdorff moment problem via ...
Akheizer N I   +12 more
core   +1 more source

Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

open access: yes, 2017
This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission.
Rubin, Jonathan E.   +3 more
core   +2 more sources

Puzzles of Quasi-Finite Type, Zeta Functions and Symbolic Dynamics for Multi-Dimensional Maps [PDF]

open access: yes, 2009
We introduce "puzzles of quasi-finite type" which are the counterparts of our subshifts of quasi-finite type (Invent. Math. 159 (2005)) in the setting of combinatorial puzzles as defined in complex dynamics.
Buzzi, Jerome
core   +5 more sources

Intermittency in relation with 1/f noise and stochastic differential equations

open access: yes, 2013
One of the models of intermittency is on-off intermittency, arising due to time-dependent forcing of a bifurcation parameter through a bifurcation point.
Kaulakys, B., Ruseckas, J.
core   +1 more source

Robust Emergent Activity in Dynamical Networks [PDF]

open access: yes, 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

Approximating invariant densities of metastable systems

open access: yes, 2009
We consider a piecewise smooth expanding map of the interval possessing two invariant subsets of positive Lebesgue measure and exactly two ergodic absolutely continuous invariant probability measures (ACIMs).
Blank   +5 more
core   +1 more source

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