Analysis of traffic dynamics on a ring road-based transportation network by means of 0–1 test for chaos and Lyapunov spectrum

Do new sources of traffic data make the application of Chaos Theory to traffic management a realistic possibility?

“…This study concluded that in order to achieve a reliable forecast, the sample size should be more than ten times that of the correlation dimension of the short-term traffic flow. Krese and Govekar (2013) distinguished between the traffic dynamics of a ring road around Ljubljana in Slovenia and several adjoining highways, based on chaos and the Lyapunov spectrum. The study concluded that the maximal Lyapunov exponents showed the sensitivity of the highway as higher than the ring road, which is an indication that the ring road was capable of responding better to small traffic perturbations than the highway.…”

An experimental analogue for memristor based Chua's circuit

“…It is applied to analyze electronic circuits [27], plasma [28], stock market [29] and road transport [30]. Consider a set of discrete one dimensional data Φ(n) sampled at the interval n = 1, 2, 3, ...Φ(n).…”

Does determinism imply caos in hydrological variables?

“…In some cases, the test has also been shown to perform better than the traditional methods using phase space reconstruction and Lyapunov exponents, when the time series is contaminated with noise, see (Gottwald and Melbourne, 2016). Applications of the 0-1 test in physics, finance, and oceanography can be found in (Lugo-Fernandez, 2007;Litak et al, 2009a;Litak et al, 2009b;Krese and Goverkar, 2012;Chowdhury et al, 2012;Zachilas and Psarianos, 2012;Xin and Li, 2013;Prabin Devi et al, 2013;Krese and Govekar, 2013;Kriz and Kratochvil, 2014;Kriz, 2014). In particular, we found two applications to hydrological variables related to river flows and runoff time series in (Li et al, 2014;Kedra, 2014).…”