This paper describes the application of the homotopy perturbations method (HPM) in the computation of invariant measures (IMs) of the non-linear dynamical systems which are characterized by the complex, chaotic behavior. The convergence of the HPM is formally investigated and confirmed, and its efficiency is illustrated in several examples of widely used chaotic maps.
Keywords:
Invariant measures / Frobenius-Perron equation / homotopy perturbations / chaotic mappings / probability distribution
Source:
University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics, 2018, 80, 2, 119-128
TY - JOUR
AU - Stojanović, Vladica
AU - Kevkić, Tijana
AU - Jelić, Gordana
AU - Ranđelović, Dragan
PY - 2018
UR - http://jakov.kpu.edu.rs/handle/123456789/841
AB - This paper describes the application of the homotopy perturbations method (HPM) in the computation of invariant measures (IMs) of the non-linear dynamical systems which are characterized by the complex, chaotic behavior. The convergence of the HPM is formally investigated and confirmed, and its efficiency is illustrated in several examples of widely used chaotic maps.
PB - Univ Politehnica Bucharest, Sci Bull, Bucuresti
T2 - University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics
T1 - Determination of invariant measures: An approach based on homotopy perturbations
VL - 80
IS - 2
SP - 119
EP - 128
UR - conv_1226
ER -
@article{
author = "Stojanović, Vladica and Kevkić, Tijana and Jelić, Gordana and Ranđelović, Dragan",
year = "2018",
abstract = "This paper describes the application of the homotopy perturbations method (HPM) in the computation of invariant measures (IMs) of the non-linear dynamical systems which are characterized by the complex, chaotic behavior. The convergence of the HPM is formally investigated and confirmed, and its efficiency is illustrated in several examples of widely used chaotic maps.",
publisher = "Univ Politehnica Bucharest, Sci Bull, Bucuresti",
journal = "University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics",
title = "Determination of invariant measures: An approach based on homotopy perturbations",
volume = "80",
number = "2",
pages = "119-128",
url = "conv_1226"
}
Stojanović, V., Kevkić, T., Jelić, G.,& Ranđelović, D.. (2018). Determination of invariant measures: An approach based on homotopy perturbations. in University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics
Univ Politehnica Bucharest, Sci Bull, Bucuresti., 80(2), 119-128.
conv_1226
Stojanović V, Kevkić T, Jelić G, Ranđelović D. Determination of invariant measures: An approach based on homotopy perturbations. in University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics. 2018;80(2):119-128.
conv_1226 .
Stojanović, Vladica, Kevkić, Tijana, Jelić, Gordana, Ranđelović, Dragan, "Determination of invariant measures: An approach based on homotopy perturbations" in University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics, 80, no. 2 (2018):119-128,
conv_1226 .
