Results 11 to 20 of about 48,090 (99)
Transport in Transitory Dynamical Systems [PDF]
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.
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On the spectrum of Farey and Gauss maps
In this paper we introduce Hilbert spaces of holomorphic functions given by generalized Borel and Laplace transforms which are left invariant by the transfer operators of the Farey map and its induced version, the Gauss map, respectively.
Baladi V +32 more
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Puzzles of Quasi-Finite Type, Zeta Functions and Symbolic Dynamics for Multi-Dimensional Maps [PDF]
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
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We investigate the intensity enhancement and the duration of starburst episodes, triggered by major galaxy interactions and mergers. To this aim, we analyze two large statistical datasets of numerical simulations.
A.-L. Melchior +91 more
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Global bifurcations close to symmetry [PDF]
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds, occur persistently in some symmetric differential equations on the 3-dimensional sphere.
Labouriau, Isabel S. +1 more
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We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices. Noise from different lattice nodes can diffuse across the lattice and lower the noise level of individual ...
Ditto, William L. +4 more
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Logarithm laws and shrinking target properties [PDF]
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation, and probability theory.Comment: This is a ...
Athreya, Jayadev S.
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The role of continuity and expansiveness on leo and periodic specification properties
In this short note we prove that a continuous map which is locally eventually onto and is expansive satisfies the periodic specification property. We also discuss the role of continuity as a key condition in the previous characterization.
Troubetzkoy, Serge, Varandas, Paulo
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Noise-amplitude dependence of the invariant density for noisy, fully chaotic one-dimensional maps
We present some analytic, non-perturbative results for the invariant density rho(x) for noisy one-dimensional maps at fully developed chaos. Under periodic boundary conditions, the Fourier expansion method is used to show precisely how noise makes rho(x)
Balakrishnan, V. +2 more
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Synchronization time in a hyperbolic dynamical system with long-range interactions
We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace.
Anteneodo +25 more
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