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Performance analysis of indicators of chaos for nonlinear dynamical systems [PDF]
Physical Review E, 2023 The efficient detection of chaotic behavior in orbits of a complex dynamical system is an active domain of research. Several indicators have been proposed, and new ones have recently been developed in view of improving the performance of chaos detection ...
M Giovannozzi, G Turchetti
exaly +6 more sources
New Indicators of Spatial Chaos in the Context of the Need for Retrofitting Suburbs
Land, 2020 The article is dedicated to the phenomenon of spatial chaos in the suburban areas of Polish cities, which, due to uncontrolled scattering of buildings (urban sprawl), require urgent retrofitting.
Dorota Mántey, Wojciech Pokojski
exaly +4 more sources
LP-VIcode : A program to compute a suite of variational chaos indicators [PDF]
Astronomy and Computing, 2014 An important point in analyzing the dynamics of a given stellar or planetary system is the reliable identification of the chaotic or regular behavior of its orbits.
Carpintero, Daniel D. +4 more
exaly +8 more sources
Investigation of the Relationship Between Chaos Data and €/$ Exchange Rate Index Data with RQA Method [PDF]
Chaos Theory and Applications, 2023 A time series data contains a large amount of information in itself. Chaos data and volatility data which calculated by any time series are also derivative information included in the same time series. According to these assumptions, it is very important
Nizamettin BAŞARAN +3 more
core +3 more sources
Comparative study of variational chaos indicators and ODEs' numerical integrators [PDF]
International Journal of Bifurcation and Chaos, 2020 The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithstanding the recent work of Maffione et al. (2011a) for mappings, a detailed
Maffione, Nicolás Pablo +3 more
core +7 more sources
Physical Review Research, 2020 It has been shown that, despite being local, a perturbation applied to a single site of the one-dimensional XXZ model is enough to bring this interacting integrable spin-1/2 system to the chaotic regime.
Torres Herrera, E. Jonathan +5 more
core +2 more sources
A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings [PDF]
Celestial Mechanics and Dynamical Astronomy, 2011 Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.Fil: Darriba, Luciano A. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas.
Pablo M Cincotta, Cincotta P M
exaly +2 more sources
Chaos indicators for nonlinear dynamics in circular particle accelerators [PDF]
The European Physical Journal PlusThe understanding of nonlinear effects in circular storage rings and colliders based on superconducting magnets is a key issue for the luminosity and the beam lifetime optimisation. A detailed analysis of the multidimensional phase space requires a large
Sterbini, G. +7 more
core +5 more sources
Procedia Computer Science, 2011 They were applied the chaos theory and a complex model of health to determine relationships among aggregate indicators of financial statements. Cash flow, profit and loss, and assets of 70 companies in the sector of crude oil mining and natural gas in ...
Fernando Juarez
exaly +2 more sources
Introduction to special issue: Chaos Indicators, Phase Space and Chemical Reaction Dynamics
, 2023 The study of the phase space of multidimensional systems is one of the central open problems in dynamical systems. Being able to distinguish chaoticity from regularity in nonlinear dynamical systems, as well as to determine the subspace of the phase ...
Katsanikas, M. +2 more
core +1 more source