The nonlinear GDP dynamics
The oscillatory behavior of GDP and its components leads to a Fourier transform analysis that results in the eigen values of the dynamic economic system. The larger values are dominating the transient behavior of the GDP components and these transients are discussed along with the specific behavior...
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| Format: | Article |
| Language: | English |
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Faculty of Economic Sciences, Hyperion University, Bucharest, Romania
2013-06-01
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| Series: | Hyperion Economic Journal |
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| Online Access: | http://www.hej.hyperion.ro/articles/2(1)_2013/HEJ%20nr2(1)_2013_S1Purica.pdf |
| _version_ | 1828473716323909632 |
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| author | Ionut Purica |
| author_facet | Ionut Purica |
| author_sort | Ionut Purica |
| collection | DOAJ |
| description | The oscillatory behavior of GDP and its components leads to a Fourier transform analysis that results in the eigen values of the dynamic economic system. The larger values are dominating the transient behavior of the GDP components and these transients are discussed along with the specific behavior of each component. The second order differential equations are determined, for each component, to describe the oscillatory behavior and the transient resulting from a step excitation. The natural frequencies are determined and the correlation of pairs of components’ cycles result in ‘beats’ process where the modulated wave cycles are compared and discussed. Based on these correlated influence terms the solutions of the differential equations of each component are determined along with their evolution in the phase space and with the specific Lagrangian. The possible occurrence of dynamical behavior basins for GDP is explored, associated to time interval least action considerations. Important conclusions are drawn from this analysis on the dynamics of GDP and its components, in terms of general versus local equilibriums and their evolution. |
| first_indexed | 2024-12-11T05:49:11Z |
| format | Article |
| id | doaj.art-9f304442961944f18b4dc6cf67b7d1a6 |
| institution | Directory Open Access Journal |
| issn | 2343-7995 |
| language | English |
| last_indexed | 2024-12-11T05:49:11Z |
| publishDate | 2013-06-01 |
| publisher | Faculty of Economic Sciences, Hyperion University, Bucharest, Romania |
| record_format | Article |
| series | Hyperion Economic Journal |
| spelling | doaj.art-9f304442961944f18b4dc6cf67b7d1a62022-12-22T01:18:52ZengFaculty of Economic Sciences, Hyperion University, Bucharest, RomaniaHyperion Economic Journal2343-79952013-06-01124259The nonlinear GDP dynamicsIonut PuricaThe oscillatory behavior of GDP and its components leads to a Fourier transform analysis that results in the eigen values of the dynamic economic system. The larger values are dominating the transient behavior of the GDP components and these transients are discussed along with the specific behavior of each component. The second order differential equations are determined, for each component, to describe the oscillatory behavior and the transient resulting from a step excitation. The natural frequencies are determined and the correlation of pairs of components’ cycles result in ‘beats’ process where the modulated wave cycles are compared and discussed. Based on these correlated influence terms the solutions of the differential equations of each component are determined along with their evolution in the phase space and with the specific Lagrangian. The possible occurrence of dynamical behavior basins for GDP is explored, associated to time interval least action considerations. Important conclusions are drawn from this analysis on the dynamics of GDP and its components, in terms of general versus local equilibriums and their evolution.http://www.hej.hyperion.ro/articles/2(1)_2013/HEJ%20nr2(1)_2013_S1Purica.pdfnonlinear modelsoscillatory behaviorGDP cyclesequilibrium |
| spellingShingle | Ionut Purica The nonlinear GDP dynamics Hyperion Economic Journal nonlinear models oscillatory behavior GDP cycles equilibrium |
| title | The nonlinear GDP dynamics |
| title_full | The nonlinear GDP dynamics |
| title_fullStr | The nonlinear GDP dynamics |
| title_full_unstemmed | The nonlinear GDP dynamics |
| title_short | The nonlinear GDP dynamics |
| title_sort | nonlinear gdp dynamics |
| topic | nonlinear models oscillatory behavior GDP cycles equilibrium |
| url | http://www.hej.hyperion.ro/articles/2(1)_2013/HEJ%20nr2(1)_2013_S1Purica.pdf |
| work_keys_str_mv | AT ionutpurica thenonlineargdpdynamics AT ionutpurica nonlineargdpdynamics |