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- W2007294441 abstract "Complex chaotic dynamics is studies in the van der Pol oscillator model of business cycle forced by a sinusoidal function. The famous topological horseshoe theorem is applied to prove the existence of chaos from the mathematical viewpoint in this business cycle model. A rigorous proof for the existence of topological horseshoe is given. This technique combines the topological theory with the computer-assisted computations. A proper Poincare section is first chosen to obtain the corresponding Poincare map, which is proved to be semi-conjugate to the 2 -shift map. This result implies that the business cycle model has positive topological entropy, and thus is definitely chaotic." @default.
- W2007294441 created "2016-06-24" @default.
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- W2007294441 date "2010-05-01" @default.
- W2007294441 modified "2023-09-25" @default.
- W2007294441 title "A new proof for the existence of topological horseshoe in a business cycle model" @default.
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- W2007294441 doi "https://doi.org/10.1109/ccdc.2010.5498517" @default.
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