Dynamic behavior of nonlinear Goodwin oscillator based on data-driven modeling
•Fit investment function using real data.•Excited the Goodwin model with additive Lévy noise and multiplicative Lévy noise.•Mean First Passage Time (MFPT) was calculated for the Goodwin model.•Lévy noise can expedite transitions of the system's state between stable points. Recent advancements i...
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| Published in: | Chinese journal of physics (Taipei) Vol. 95; pp. 287 - 297 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.06.2025
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| ISSN: | 0577-9073 |
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| Abstract | •Fit investment function using real data.•Excited the Goodwin model with additive Lévy noise and multiplicative Lévy noise.•Mean First Passage Time (MFPT) was calculated for the Goodwin model.•Lévy noise can expedite transitions of the system's state between stable points.
Recent advancements in economic dynamics have been significantly shaped by the development of the Goodwin model and the application of nonlinear dynamics theory to economic systems. This study extends the classical Goodwin model by incorporating an empirically derived investment function to more precisely characterize investment dynamics within real economic systems. Furthermore, economic systems are frequently subject to exogenous shocks, leading to substantial market fluctuations that traditional deterministic models often fail to adequately capture. To address this limitation, this study employs a Goodwin model driven by Lévy noise to represent the stochastic evolution of economic systems. An analysis of the data-driven Goodwin model subject to Lévy noise excitation indicates that parameter variations significantly influence the steady-state probability density distribution, particularly affecting peak adjustments, which in turn impact income levels. This study underscores the pivotal role of parameter adjustments in economic modeling, particularly in relation to system dynamics and the mean first passage time (MFPT). The findings demonstrate that both additive and multiplicative Lévy noise expedite state transitions between stabilization points, thereby facilitating shifts between different equilibrium states. However, this transition acceleration is accompanied by an increase in income level fluctuations. Additionally, the results suggest that excessive government intervention in economic parameters may constrain income volatility, whereas targeted parameter adjustments can modulate transition rates and contribute to noise-induced stabilization.
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| AbstractList | •Fit investment function using real data.•Excited the Goodwin model with additive Lévy noise and multiplicative Lévy noise.•Mean First Passage Time (MFPT) was calculated for the Goodwin model.•Lévy noise can expedite transitions of the system's state between stable points.
Recent advancements in economic dynamics have been significantly shaped by the development of the Goodwin model and the application of nonlinear dynamics theory to economic systems. This study extends the classical Goodwin model by incorporating an empirically derived investment function to more precisely characterize investment dynamics within real economic systems. Furthermore, economic systems are frequently subject to exogenous shocks, leading to substantial market fluctuations that traditional deterministic models often fail to adequately capture. To address this limitation, this study employs a Goodwin model driven by Lévy noise to represent the stochastic evolution of economic systems. An analysis of the data-driven Goodwin model subject to Lévy noise excitation indicates that parameter variations significantly influence the steady-state probability density distribution, particularly affecting peak adjustments, which in turn impact income levels. This study underscores the pivotal role of parameter adjustments in economic modeling, particularly in relation to system dynamics and the mean first passage time (MFPT). The findings demonstrate that both additive and multiplicative Lévy noise expedite state transitions between stabilization points, thereby facilitating shifts between different equilibrium states. However, this transition acceleration is accompanied by an increase in income level fluctuations. Additionally, the results suggest that excessive government intervention in economic parameters may constrain income volatility, whereas targeted parameter adjustments can modulate transition rates and contribute to noise-induced stabilization.
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| Author | Guo, Yongfeng Liang, Yanming |
| Author_xml | – sequence: 1 givenname: Yanming surname: Liang fullname: Liang, Yanming – sequence: 2 givenname: Yongfeng surname: Guo fullname: Guo, Yongfeng email: sdjnwsgyf@163.com |
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| Cites_doi | 10.1103/PhysRevE.82.036118 10.1016/j.cnsns.2016.06.012 10.1103/PhysRevE.86.031143 10.1016/j.techfore.2021.120765 10.1103/PhysRevLett.69.2318 10.1016/j.strueco.2017.01.003 10.1016/j.chaos.2019.06.031 10.1016/j.chaos.2019.109420 10.1103/PhysRevLett.53.1260 10.1063/1.4775758 10.1016/S0960-0779(01)00121-7 10.1016/j.apm.2023.10.027 10.1016/j.chaos.2005.08.218 10.1103/PhysRevLett.71.1649 10.1016/j.jedc.2008.08.013 10.1063/1.5123179 10.1016/j.chaos.2023.114380 10.1016/j.nonrwa.2010.12.011 10.1142/S0218127414400203 10.2307/1907905 10.1007/s11071-021-06960-9 10.1103/PhysRevE.77.046110 10.1016/0167-7152(95)00113-1 10.1016/S0304-405X(03)00171-5 10.1016/j.physa.2016.06.015 10.5506/APhysPolB.44.997 10.1103/PhysRevA.96.023864 10.1016/j.ijnonlinmec.2022.104339 |
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| References | Zhang, Jin (bib0010) 2021; 16 Janicki, Weron (bib0021) 1994 Matsumoto (bib0001) 2009; 33 Lin, Li, Wu (bib0002) 2020; 30 Rivolta, Benisty, Maes (bib0004) 2017; 96 Guo, Ding, Mi (bib0028) 2024; 179 Weron, Weron (bib0022) 1995 Guo, Wang, Wei (bib0029) 2019; 127 Bier, Astumian (bib0033) 1993; 71 Tao (bib0006) 2010; 82 Goodwin (bib0015) 1951 Lorenz (bib0020) 1993 Chian, Rempel, Rogers (bib0014) 2006; 29 Guo, Wang, Wei (bib0017) 2019; 127 Chen, Kang (bib0025) 2017; 42 Xu, Feng, Li (bib0026) 2013; 23 Li, Li, Li (bib0003) 2011; 12 Zhang, Li, Jin (bib0009) 2024; 125 McDonald, Suleman, Williams (bib0005) 2008; 77 Guarcello, Valenti, Augello (bib0032) 2013; 44 Devoret, Martinis, Esteve (bib0035) 1984; 53 Zhang, Liu, Wang (bib0007) 2021; 169 Grassetti, Guzowska, Michetti (bib0013) 2020; 130 Peter, Wu (bib0008) 2004; 71 Jungeilges, Ryazanova (bib0012) 2017; 40 Yuan, Wang (bib0018) 2023; 150 Lin, Zhao (bib0034) 2025 Doering, Gadoua (bib0031) 1992; 69 Lorenz, Nusse (bib0016) 2002; 13 Mattos, Mejía-Monasterio, Metzler (bib0027) 2012; 86 Dybiec, Gudowska-Nowak (bib0024) 2006; 37 Weron (bib0023) 1996; 28 Zhang, Duan, Jin (bib0011) 2021; 106 Bashkirtseva, Ryazanova, Ryashko (bib0019) 2014; 24 Wijesundera, Halgamuge, Nirmalathas (bib0030) 2016; 462 Xu (10.1016/j.cjph.2025.02.043_bib0026) 2013; 23 Chen (10.1016/j.cjph.2025.02.043_bib0025) 2017; 42 Lin (10.1016/j.cjph.2025.02.043_bib0002) 2020; 30 Rivolta (10.1016/j.cjph.2025.02.043_bib0004) 2017; 96 Guo (10.1016/j.cjph.2025.02.043_bib0028) 2024; 179 Guo (10.1016/j.cjph.2025.02.043_bib0029) 2019; 127 Doering (10.1016/j.cjph.2025.02.043_bib0031) 1992; 69 Weron (10.1016/j.cjph.2025.02.043_bib0023) 1996; 28 Dybiec (10.1016/j.cjph.2025.02.043_bib0024) 2006; 37 Janicki (10.1016/j.cjph.2025.02.043_bib0021) 1994 Peter (10.1016/j.cjph.2025.02.043_bib0008) 2004; 71 Zhang (10.1016/j.cjph.2025.02.043_bib0010) 2021; 16 Matsumoto (10.1016/j.cjph.2025.02.043_bib0001) 2009; 33 Guo (10.1016/j.cjph.2025.02.043_bib0017) 2019; 127 Mattos (10.1016/j.cjph.2025.02.043_bib0027) 2012; 86 Grassetti (10.1016/j.cjph.2025.02.043_bib0013) 2020; 130 Jungeilges (10.1016/j.cjph.2025.02.043_bib0012) 2017; 40 Zhang (10.1016/j.cjph.2025.02.043_bib0007) 2021; 169 McDonald (10.1016/j.cjph.2025.02.043_bib0005) 2008; 77 Chian (10.1016/j.cjph.2025.02.043_bib0014) 2006; 29 Guarcello (10.1016/j.cjph.2025.02.043_bib0032) 2013; 44 Weron (10.1016/j.cjph.2025.02.043_bib0022) 1995 Bashkirtseva (10.1016/j.cjph.2025.02.043_bib0019) 2014; 24 Lin (10.1016/j.cjph.2025.02.043_bib0034) 2025 Zhang (10.1016/j.cjph.2025.02.043_bib0011) 2021; 106 Goodwin (10.1016/j.cjph.2025.02.043_bib0015) 1951 Lorenz (10.1016/j.cjph.2025.02.043_bib0020) 1993 Zhang (10.1016/j.cjph.2025.02.043_bib0009) 2024; 125 Yuan (10.1016/j.cjph.2025.02.043_bib0018) 2023; 150 Lorenz (10.1016/j.cjph.2025.02.043_bib0016) 2002; 13 Li (10.1016/j.cjph.2025.02.043_bib0003) 2011; 12 Devoret (10.1016/j.cjph.2025.02.043_bib0035) 1984; 53 Wijesundera (10.1016/j.cjph.2025.02.043_bib0030) 2016; 462 Bier (10.1016/j.cjph.2025.02.043_bib0033) 1993; 71 Tao (10.1016/j.cjph.2025.02.043_bib0006) 2010; 82 |
| References_xml | – volume: 71 start-page: 1649 year: 1993 ident: bib0033 article-title: Matching a diffusive and a kinetic approach for escape over a fluctuating barrier publication-title: Phys. Rev. Lett. – volume: 29 start-page: 1194 year: 2006 end-page: 1218 ident: bib0014 article-title: Complex economic dynamics: chaotic saddle, crisis and intermittency publication-title: Chaos Solit. Fractals. – volume: 130 year: 2020 ident: bib0013 article-title: A dynamically consistent discretization method for Goodwin model publication-title: Chaos Solit. Fractals. – start-page: 379 year: 1995 end-page: 392 ident: bib0022 article-title: Computer simulation of Lévy α-stable variables and processes – volume: 462 start-page: 986 year: 2016 end-page: 1002 ident: bib0030 article-title: MFPT calculation for random walks in inhomogeneous networks publication-title: Phys. A: Stat. Mech. Appl. – volume: 16 year: 2021 ident: bib0010 article-title: Colored Lévy noise-induced stochastic dynamics in a tri-stable hybrid energy harvester publication-title: J. Comput. Nonlinear. Dyn. – volume: 13 start-page: 957 year: 2002 end-page: 965 ident: bib0016 article-title: Chaotic attractors, chaotic saddles, and fractal basin boundaries: goodwin's nonlinear accelerator model reconsidered publication-title: Chaos Solit. Fractals. – volume: 169 year: 2021 ident: bib0007 article-title: Extreme climate events and economic impacts in China: a CGE analysis with a new damage function in IAM publication-title: Technol. Forecast. Soc. Change. – volume: 179 year: 2024 ident: bib0028 article-title: Statistical complexity and stochastic resonance of an underdamped bistable periodic potential system excited by Lévy noise publication-title: Chaos Solit. Fractals. – volume: 69 start-page: 2318 year: 1992 ident: bib0031 article-title: Resonant activation over a fluctuating barrier publication-title: Phys. Rev. Lett. – volume: 33 start-page: 832 year: 2009 end-page: 842 ident: bib0001 article-title: Note on Goodwin's 1951 nonlinear accelerator model with an investment delay publication-title: J. Econ. Dyn. Control – volume: 106 start-page: 2829 year: 2021 end-page: 2840 ident: bib0011 article-title: Discovering governing equation from data for multi-stable energy harvester under white noise publication-title: Nonlinear. Dyn. – volume: 127 start-page: 118 year: 2019 end-page: 126 ident: bib0017 article-title: Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and gaussian white noise publication-title: Chaos Solit. Fractals. – volume: 82 year: 2010 ident: bib0006 article-title: Competitive market for multiple firms and economic crisis publication-title: Phys. Rev. E – start-page: 1 year: 1951 end-page: 17 ident: bib0015 article-title: The nonlinear accelerator and the persistence of business cycles publication-title: Econometrica: J. Econ. Soc. – volume: 77 year: 2008 ident: bib0005 article-title: Impact of unexpected events, shocking news, and rumors on foreign exchange market dynamics publication-title: Phys. Rev. E – start-page: 1 year: 2025 end-page: 15 ident: bib0034 article-title: Nonlinear modeling of financial state variables and multiscale numerical analysis publication-title: Eur. Phys. J. Spec. Top. – volume: 30 year: 2020 ident: bib0002 article-title: Effect of the policy and consumption delay on the amplitude and length of business cycle publication-title: Chaos: An Interdiscip. J. Nonlinear Sci. – volume: 28 start-page: 165 year: 1996 end-page: 171 ident: bib0023 article-title: On the Chambers-Mallows-Stuck method for simulating skewed stable random variables publication-title: Stat. Probab. Lett. – volume: 86 year: 2012 ident: bib0027 article-title: First passages in bounded domains: when is the mean first passage time meaningful? publication-title: Phys. Rev. E – volume: 53 start-page: 1260 year: 1984 ident: bib0035 article-title: Resonant activation from the zero-voltage state of a current-biased Josephson junction publication-title: Phys. Rev. Lett. – year: 1994 ident: bib0021 article-title: Simulation and chaotic behavior of -stable stochastic processes – volume: 96 year: 2017 ident: bib0004 article-title: Topological edge modes with PT symmetry in a quasiperiodic structure publication-title: Phys. Rev. A – volume: 125 start-page: 390 year: 2024 end-page: 403 ident: bib0009 article-title: Data-driven modelling and dynamic analysis of the multistable energy harvester with non-Gaussian Lévy noise publication-title: Appl. Math. Model. – volume: 150 year: 2023 ident: bib0018 article-title: Bifurcation and chaotic behavior in stochastic Rosenzweig–MacArthur prey–predator model with non-Gaussian stable Lévy noise publication-title: Int. J. Non. Linear. Mech. – volume: 127 start-page: 118 year: 2019 end-page: 126 ident: bib0029 article-title: Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and gaussian white noise publication-title: Chaos Solit. Fractals. – volume: 24 year: 2014 ident: bib0019 article-title: Confidence domains in the analysis of noise-induced transition to chaos for Goodwin model of business cycles publication-title: Int. J. Bifurc. Chaos – volume: 23 year: 2013 ident: bib0026 article-title: Lévy noise induced switch in the gene transcriptional regulatory system publication-title: Chaos: An Interdiscip. J. Nonlinear Sci. – volume: 37 start-page: 1479 year: 2006 end-page: 1490 ident: bib0024 article-title: Stochastic resonance: the role of -stable noises publication-title: Acta Phys. Pol. B – volume: 12 start-page: 1950 year: 2011 end-page: 1960 ident: bib0003 article-title: Chaos prediction and control of Goodwin's nonlinear accelerator model publication-title: Nonlinear Anal. Real World Appl. – volume: 40 start-page: 103 year: 2017 end-page: 115 ident: bib0012 article-title: Noise-induced transitions in a stochastic Goodwin-type business cycle model publication-title: Struct. Chang. Econ. Dyn. – volume: 44 start-page: 997 year: 2013 end-page: 1005 ident: bib0032 article-title: The role of non-Gaussian sources in the transient dynamics of long Josephson junctions publication-title: Acta Phys. Pol. B – volume: 71 start-page: 113 year: 2004 end-page: 141 ident: bib0008 article-title: Time-changed Lévy processes and option pricing publication-title: J. Financ. Econ. – start-page: 26 year: 1993 end-page: 77 ident: bib0020 article-title: Nonlinear dynamical economics and chaotic motion – volume: 42 start-page: 379 year: 2017 end-page: 395 ident: bib0025 article-title: Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise publication-title: Commun. Nonlinear Sci. Numer. Simul. – year: 1994 ident: 10.1016/j.cjph.2025.02.043_bib0021 – volume: 82 issue: 3 year: 2010 ident: 10.1016/j.cjph.2025.02.043_bib0006 article-title: Competitive market for multiple firms and economic crisis publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.82.036118 – volume: 42 start-page: 379 year: 2017 ident: 10.1016/j.cjph.2025.02.043_bib0025 article-title: Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2016.06.012 – volume: 86 issue: 3 year: 2012 ident: 10.1016/j.cjph.2025.02.043_bib0027 article-title: First passages in bounded domains: when is the mean first passage time meaningful? publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.86.031143 – volume: 169 year: 2021 ident: 10.1016/j.cjph.2025.02.043_bib0007 article-title: Extreme climate events and economic impacts in China: a CGE analysis with a new damage function in IAM publication-title: Technol. Forecast. Soc. Change. doi: 10.1016/j.techfore.2021.120765 – start-page: 26 year: 1993 ident: 10.1016/j.cjph.2025.02.043_bib0020 – volume: 69 start-page: 2318 issue: 16 year: 1992 ident: 10.1016/j.cjph.2025.02.043_bib0031 article-title: Resonant activation over a fluctuating barrier publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.69.2318 – volume: 16 issue: 4 year: 2021 ident: 10.1016/j.cjph.2025.02.043_bib0010 article-title: Colored Lévy noise-induced stochastic dynamics in a tri-stable hybrid energy harvester publication-title: J. Comput. Nonlinear. Dyn. – volume: 40 start-page: 103 year: 2017 ident: 10.1016/j.cjph.2025.02.043_bib0012 article-title: Noise-induced transitions in a stochastic Goodwin-type business cycle model publication-title: Struct. Chang. Econ. Dyn. doi: 10.1016/j.strueco.2017.01.003 – volume: 127 start-page: 118 year: 2019 ident: 10.1016/j.cjph.2025.02.043_bib0017 article-title: Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and gaussian white noise publication-title: Chaos Solit. Fractals. doi: 10.1016/j.chaos.2019.06.031 – start-page: 1 year: 2025 ident: 10.1016/j.cjph.2025.02.043_bib0034 article-title: Nonlinear modeling of financial state variables and multiscale numerical analysis publication-title: Eur. Phys. J. Spec. Top. – volume: 130 year: 2020 ident: 10.1016/j.cjph.2025.02.043_bib0013 article-title: A dynamically consistent discretization method for Goodwin model publication-title: Chaos Solit. Fractals. doi: 10.1016/j.chaos.2019.109420 – start-page: 379 year: 1995 ident: 10.1016/j.cjph.2025.02.043_bib0022 – volume: 53 start-page: 1260 issue: 13 year: 1984 ident: 10.1016/j.cjph.2025.02.043_bib0035 article-title: Resonant activation from the zero-voltage state of a current-biased Josephson junction publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.53.1260 – volume: 23 issue: 1 year: 2013 ident: 10.1016/j.cjph.2025.02.043_bib0026 article-title: Lévy noise induced switch in the gene transcriptional regulatory system publication-title: Chaos: An Interdiscip. J. Nonlinear Sci. doi: 10.1063/1.4775758 – volume: 13 start-page: 957 issue: 5 year: 2002 ident: 10.1016/j.cjph.2025.02.043_bib0016 article-title: Chaotic attractors, chaotic saddles, and fractal basin boundaries: goodwin's nonlinear accelerator model reconsidered publication-title: Chaos Solit. Fractals. doi: 10.1016/S0960-0779(01)00121-7 – volume: 37 start-page: 1479 year: 2006 ident: 10.1016/j.cjph.2025.02.043_bib0024 article-title: Stochastic resonance: the role of -stable noises publication-title: Acta Phys. Pol. B – volume: 125 start-page: 390 year: 2024 ident: 10.1016/j.cjph.2025.02.043_bib0009 article-title: Data-driven modelling and dynamic analysis of the multistable energy harvester with non-Gaussian Lévy noise publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2023.10.027 – volume: 29 start-page: 1194 issue: 5 year: 2006 ident: 10.1016/j.cjph.2025.02.043_bib0014 article-title: Complex economic dynamics: chaotic saddle, crisis and intermittency publication-title: Chaos Solit. Fractals. doi: 10.1016/j.chaos.2005.08.218 – volume: 71 start-page: 1649 issue: 10 year: 1993 ident: 10.1016/j.cjph.2025.02.043_bib0033 article-title: Matching a diffusive and a kinetic approach for escape over a fluctuating barrier publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.71.1649 – volume: 33 start-page: 832 issue: 4 year: 2009 ident: 10.1016/j.cjph.2025.02.043_bib0001 article-title: Note on Goodwin's 1951 nonlinear accelerator model with an investment delay publication-title: J. Econ. Dyn. Control doi: 10.1016/j.jedc.2008.08.013 – volume: 30 issue: 10 year: 2020 ident: 10.1016/j.cjph.2025.02.043_bib0002 article-title: Effect of the policy and consumption delay on the amplitude and length of business cycle publication-title: Chaos: An Interdiscip. J. Nonlinear Sci. doi: 10.1063/1.5123179 – volume: 179 year: 2024 ident: 10.1016/j.cjph.2025.02.043_bib0028 article-title: Statistical complexity and stochastic resonance of an underdamped bistable periodic potential system excited by Lévy noise publication-title: Chaos Solit. Fractals. doi: 10.1016/j.chaos.2023.114380 – volume: 12 start-page: 1950 issue: 4 year: 2011 ident: 10.1016/j.cjph.2025.02.043_bib0003 article-title: Chaos prediction and control of Goodwin's nonlinear accelerator model publication-title: Nonlinear Anal. Real World Appl. doi: 10.1016/j.nonrwa.2010.12.011 – volume: 24 issue: 08 year: 2014 ident: 10.1016/j.cjph.2025.02.043_bib0019 article-title: Confidence domains in the analysis of noise-induced transition to chaos for Goodwin model of business cycles publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127414400203 – start-page: 1 year: 1951 ident: 10.1016/j.cjph.2025.02.043_bib0015 article-title: The nonlinear accelerator and the persistence of business cycles publication-title: Econometrica: J. Econ. Soc. doi: 10.2307/1907905 – volume: 106 start-page: 2829 issue: 4 year: 2021 ident: 10.1016/j.cjph.2025.02.043_bib0011 article-title: Discovering governing equation from data for multi-stable energy harvester under white noise publication-title: Nonlinear. Dyn. doi: 10.1007/s11071-021-06960-9 – volume: 77 issue: 4 year: 2008 ident: 10.1016/j.cjph.2025.02.043_bib0005 article-title: Impact of unexpected events, shocking news, and rumors on foreign exchange market dynamics publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.77.046110 – volume: 28 start-page: 165 issue: 2 year: 1996 ident: 10.1016/j.cjph.2025.02.043_bib0023 article-title: On the Chambers-Mallows-Stuck method for simulating skewed stable random variables publication-title: Stat. Probab. Lett. doi: 10.1016/0167-7152(95)00113-1 – volume: 127 start-page: 118 year: 2019 ident: 10.1016/j.cjph.2025.02.043_bib0029 article-title: Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and gaussian white noise publication-title: Chaos Solit. Fractals. doi: 10.1016/j.chaos.2019.06.031 – volume: 71 start-page: 113 issue: 1 year: 2004 ident: 10.1016/j.cjph.2025.02.043_bib0008 article-title: Time-changed Lévy processes and option pricing publication-title: J. Financ. Econ. doi: 10.1016/S0304-405X(03)00171-5 – volume: 462 start-page: 986 year: 2016 ident: 10.1016/j.cjph.2025.02.043_bib0030 article-title: MFPT calculation for random walks in inhomogeneous networks publication-title: Phys. A: Stat. Mech. Appl. doi: 10.1016/j.physa.2016.06.015 – volume: 44 start-page: 997 issue: 5 year: 2013 ident: 10.1016/j.cjph.2025.02.043_bib0032 article-title: The role of non-Gaussian sources in the transient dynamics of long Josephson junctions publication-title: Acta Phys. Pol. B doi: 10.5506/APhysPolB.44.997 – volume: 96 issue: 2 year: 2017 ident: 10.1016/j.cjph.2025.02.043_bib0004 article-title: Topological edge modes with PT symmetry in a quasiperiodic structure publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.96.023864 – volume: 150 year: 2023 ident: 10.1016/j.cjph.2025.02.043_bib0018 article-title: Bifurcation and chaotic behavior in stochastic Rosenzweig–MacArthur prey–predator model with non-Gaussian stable Lévy noise publication-title: Int. J. Non. Linear. Mech. doi: 10.1016/j.ijnonlinmec.2022.104339 |
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| Title | Dynamic behavior of nonlinear Goodwin oscillator based on data-driven modeling |
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