Normal deviation for a special class of fast slow system with multiplicative noise
Source abstract
Abstract
In this paper, we investigate normal deviation principles for a specific category of a fast slow system driven by multiplicative noise. By establishing an equivalent transformation framework, we decouple the original coupled system into a fast slow system. Through employing the martingale approach, we derive explicit normal deviation for the multi-scale system. Furthermore, comprehensive numerical simulations are conducted to validate the theoretical findings and demonstrate the practical implications of our results.
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Research context
OpenAlex topics: Nonlinear Dynamics and Pattern Formation · stochastic dynamics and bifurcation · Quantum chaos and dynamical systems
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Affiliations
Operations Research and Data Science Laboratory, School of Mathematics and Physics, Anhui Jianzhu University , Hefei, Anhui 230601,
Funding
NSFs of China · The Ph.D. Research Startup Fund for Anhui Jianzhu University · The Research of Department of Education for Anhui Province · The Innovation Team of Operation Research and Combinatorial Optimization of Anhui Province
References (27)
Show source-provided references
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