Stochastic delay differential equations: Analysis and simulation studies
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DOI: 10.1016/j.chaos.2022.112819
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- Hu, Rong, 2020. "Almost sure exponential stability of the Milstein-type schemes for stochastic delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
- Singh, Ajeet & Shukla, Anurag & Vijayakumar, V. & Udhayakumar, R., 2021. "Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
- Huang, He & Feng, Gang, 2007. "Delay-dependent stability for uncertain stochastic neural networks with time-varying delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 93-103.
- He, Lingyun & Banihashemi, Seddigheh & Jafari, Hossein & Babaei, Afshin, 2021. "Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
- Astero Provata & Igor Sokolov & Bernardo Spagnolo, 2008. "Editorial: Ecological complex systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 307-314, October.
- Du, Lu-Chun & Mei, Dong-Cheng, 2011. "Stochastic resonance, reverse-resonance and stochastic multi-resonance in an underdamped quartic double-well potential with noise and delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3262-3266.
- Lee, Min-Ku & Kim, Jeong-Hoon & Kim, Joocheol, 2011. "A delay financial model with stochastic volatility; martingale method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2909-2919.
- Wang, Bing & Yin, Zhixiang, 2013. "Effects of colored noise and noise delay on a calcium oscillation system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4203-4209.
- Guo, Wei & Wang, Can-Jun & Du, Lu-Chun & Mei, Dong-Cheng, 2013. "Effects of time delay on transport processes in an active Brownian particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4210-4215.
- Li, Jiang-Cheng & Mei, Dong-Cheng, 2013. "The influences of delay time on the stability of a market model with stochastic volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 763-772.
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Keywords
Stochastic delay differential equations; Fokker–Planck equations; Path integral; Coloured noise; Bistable potential; Mean First Passage Time;All these keywords.
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