Multiple stochastic and inverse stochastic resonances with transition phenomena in complex corporate financial systems
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View abstract on PubMed
Summary
This summary is machine-generated.This study introduces a new model for complex corporate finance, demonstrating controllable stochastic resonance. The findings show how financial information variations can be used to manage resonance behaviors in financial systems.
Area Of Science
- Financial Mathematics
- Complex Systems Analysis
- Economic Modeling
Background
- Complex corporate financial systems are influenced by periodic information and exhibit stochastic resonance.
- Understanding and controlling these phenomena are crucial for financial stability and predictability.
Purpose Of The Study
- To propose a stochastic predator-prey complex corporate financial system model driven by periodic information.
- To introduce signal power amplification for quantifying stochastic resonance and develop analysis methods.
- To investigate the controllable analysis of stochastic resonance in financial predator-prey dynamics.
Main Methods
- Development of a stochastic predator-prey complex corporate financial system model.
- Introduction of signal power amplification for quantifying stochastic resonance.
- Optimization of a simplified integral calculation method for model enhancement.
- Stochastic simulations and numerical calculations to observe resonance phenomena.
Main Results
- Observation of multiple stochastic resonance and multiple inverse stochastic resonance phenomena.
- Demonstration that initial financial information, periodic information frequency, and corporate growth capacity induce these resonances.
- Identification of state transitions between stochastic and inverse stochastic resonance behaviors.
Conclusions
- The proposed model offers superior performance over benchmark models.
- Findings suggest the potential for regulating and controlling stochastic and inverse stochastic resonance in complex corporate finance.
- Controllable stochastic resonance behaviors can be achieved through parameter manipulation.
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