Determination of invariant measures: An approach based on homotopy perturbations
Апстракт
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.
Кључне речи:
Invariant measures / Frobenius-Perron equation / homotopy perturbations / chaotic mappings / probability distributionИзвор:
University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics, 2018, 80, 2, 119-128Издавач:
- Univ Politehnica Bucharest, Sci Bull, Bucuresti
Институција/група
JakovTY - 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 - https://hdl.handle.net/21.15107/rcub_jakov_841 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 = "https://hdl.handle.net/21.15107/rcub_jakov_841" }
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. https://hdl.handle.net/21.15107/rcub_jakov_841
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. https://hdl.handle.net/21.15107/rcub_jakov_841 .
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, https://hdl.handle.net/21.15107/rcub_jakov_841 .