Nonlinear differential delay equations using the Poincaré section technique

Zhao Hong; Zhang Feizhou; Yan Jie; Wang Yinghai

doi:10.1103/PhysRevE.54.6925

APS Statement on Ukraine

Nonlinear differential delay equations using the Poincaré section technique

Zhao Hong, Zhang Feizhou, Yan Jie, and Wang Yinghai

Phys. Rev. E 54, 6925 – Published 1 December 1996

Abstract

This paper shows that the Poincaré section technique is a powerful tool for representing the solutions of differential delay equations (DDEs). The tool enables us to conveniently identify the periodicity of solutions of a DDE. With this tool we illustrated the fine structure, including the Farey tree structure, of the bifurcation diagram with a DDE related to optical bistability.

Received 4 October 1995

DOI:https://doi.org/10.1103/PhysRevE.54.6925

Authors & Affiliations

Zhao Hong¹, Zhang Feizhou¹, Yan Jie^1,2, and Wang Yinghai^1,*

¹Department of Physics, Lanzhou University, Lanzhou, Gansu, 730000, China
²Institute of Theoretical Physics, Academia Sinica, Beijing, China

^*Author to whom correspondence should be addressed.

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Vol. 54, Iss. 6 — December 1996

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Nonlinear differential delay equations using the Poincaré section technique

Zhao Hong, Zhang Feizhou, Yan Jie, and Wang Yinghai

Phys. Rev. E 54, 6925 – Published 1 December 1996

Abstract

Authors & Affiliations

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Nonlinear differential delay equations using the Poincaré section technique

Zhao Hong, Zhang Feizhou, Yan Jie, and Wang Yinghai

Phys. Rev. E 54, 6925 – Published 1 December 1996

Abstract

Authors & Affiliations

References (Subscription Required)

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