Routes to chaos, universality and glass formation
نویسندگان
چکیده
منابع مشابه
Routes to chaos, universality and glass formation
We review recent results obtained for the dynamics of incipient chaos. These results suggest a common picture underlying the three universal routes to chaos displayed by the prototypical logistic and circle maps. Namely, the period doubling, intermittency, and quasiperiodicity routes. In these situations the dynamical behavior is exactly describable through infinite families of Tsallis’ q-expon...
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We present examples of simple dynamical systems containing alternative routes to chaos which are degenerate with a period-doubling route. The existence of degenerate routes implies the possibility of having more entangled dynamical behaviors hidden in observations based on a single-variable time series, possibly requiring, therefore, special care to discriminate them. A model system allowing th...
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At the dawn of the quantum mechanics, entangled states of spatially separated bi-particle systems triggered fierce discussions because of their paradoxical property [1]. These discussions lead to the finding of the inequalities which measure how quantum systems deviate from the classical reality [2]. Recently, a renewed interest has been paid to entanglement since it is recognized as an invalua...
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What is the minimum possible number of edges in a graph that contains a copy of every graph on n vertices with maximum degree a most k ? This question, as well as several related variants, received a considerable amount of attention during the last decade. In this short survey we describe the known results focusing on the main ideas in the proofs, discuss the remaining open problems, and mentio...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2006
ISSN: 0378-4371
DOI: 10.1016/j.physa.2006.08.057