Numerical scheme and dynamic analysis for variable-order fractional van der Pol model of nonlinear economic cycle
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Publication:1627973
DOI10.1186/s13662-016-0920-5zbMath1422.91475OpenAlexW2503992287WikidataQ59466722 ScholiaQ59466722MaRDI QIDQ1627973
Publication date: 3 December 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-016-0920-5
Fractional derivatives and integrals (26A33) Economic dynamics (91B55) Fractional ordinary differential equations (34A08)
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Cites Work
- Models and numerical schemes for generalized van der Pol equations
- Variable-order fractional derivatives and their numerical approximations
- Analysis of a fractional order Van der Pol-like oscillator via describing function method
- The global bifurcation characteristics of the forced van der Pol oscillator.
- Complex economic dynamics: Chaotic saddle, crisis and intermittency
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Goodwin's nonlinear accelerator and chaotic motion
- Numerical solutions of a variable-order fractional financial system
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Chaos control of chaotic limit cycles of real and complex van der Pol oscillators
- A pair of van der Pol oscillators coupled by fractional derivatives
- Chaos excited chaos synchronizations of integral and fractional order generalized van der Pol systems
- More Details on Analysis of Fractional-order Van der Pol Oscillator
- Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order
- BIFURCATION STRUCTURE OF THE DRIVEN VAN DER POL OSCILLATOR
- The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined