Exact solutions of the stochastic Maccari system forced by multiplicative noise
Farah M. Al‐Askar, Wael W. Mohammed, Elkhateeb S. Aly, Mahmoud El-Morshedy
2022ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik15 citationsDOI
Abstract
Abstract In the Itô sense, we look at the stochastic Maccari system (SMS) with multiplicative noise. To generate new analytical stochastic solutions, we use three separate techniques including sine‐cosine, Riccati‐Bernoulli sub‐ODE, and semi‐inverse. Such solutions are critical for comprehending some fascinating and complex physical phenomena. In addition, some results from earlier studies are generalized. Furthermore, we investigate the impact of stochastic term on the exact solutions of the SMS.
Topics & Concepts
OdeMultiplicative noiseStochastic resonanceMultiplicative functionApplied mathematicsSineNoise (video)MathematicsBernoulli's principleTerm (time)Continuous-time stochastic processComputer scienceStochastic differential equationMathematical analysisDigital signal processingEngineeringPhysicsImage (mathematics)Quantum mechanicsSignal transfer functionComputer hardwareArtificial intelligenceGeometryAnalog signalAerospace engineeringNonlinear Waves and SolitonsFractional Differential Equations SolutionsChaos control and synchronization