Nonlinear Dynamics

, Volume 88, Issue 4, pp 2427–2433 | Cite as

Phase transitions induced by time-delay and different noises

Original Paper


The effects of global and local time-delay on a genotype selection model driven by colored or sine-Wiener noise are investigated. The stationary probability distributions are derived by simulating the Langevin Equation directly. It is found that compared to the colored noise, the bounded noise can enhance transitions, though they have the same mean and stationary correlation. Local time-delay and the global one have opposite role in the system with different noises. When time-delay is global, neither the colored noise nor the sine-Wiener noise can induce phase transitions.


Phase transitions Genotype selection model Time-delay Sine-Wiener noise 



This work was supported by National Natural Science Foundation of China under Grant Nos. 11202120 and 61273311, the Fundamental Research Funds for the Central Universities under No. GK201502007.


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Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.School of Mathematics and Information ScienceShaanxi Normal UniversityXi’anPeople’s Republic of China

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