The stochastic stability and bifurcation analysis of permanent magnet synchronous motor excited by Gaussian white noise

Ye, Z.; Qiao, Shuai

doi:10.1007/s12043-023-02560-x

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…First, we will discuss the Lyapunov exponent (LE). Recently, many scholars have addressed this type of behavior in different models (see [51], [52], and [53]). We choose the step size h = 0 : 01.…”

Section: Two Parameters Lyapunov Exponent and Basin Of Attractionsmentioning

confidence: 99%

A Predator-Prey model with Prey Refuse: under a stochastic and deterministic environment

Chatterjee,

Abbasi,

Venturino

et al. 2024

Preprint

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This study aims to thoroughly investigate the dynamics of a predator-prey model with a Beddington-De Angelis functional response. We assume that the prey refuge is proportional to both species. We establish the standard properties of boundedness, permanence, and local stability. We show that under certain parameter conditions, transcritical bifurcation and Hopf bifurcation occur. To understand the nature of the limit cycle, we determine the direction of the Hopf bifurcation. We focus on the significant ranges of the predators' Prey capturing rate and examine how the level of prey fear and the predator's mutual interference affect the system's stability. Through numerical analysis, we study the behavior of the Lyapunov exponent and observe multiple self-repeating shrimp-shaped patterns that indicate periodic attractors in discrete-time predator-prey system. These structures appear across a broad region associated with chaotic dynamics. Additionally, if the intensity of white noise is kept below a specific threshold, the deterministic control approach is equally effective in environmental fluctuation. Numerical simulations support these findings..

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Section: Two Parameters Lyapunov Exponent and Basin Of Attractionsmentioning

confidence: 99%

A Predator-Prey model with Prey Refuse: under a stochastic and deterministic environment

Chatterjee,

Abbasi,

Venturino

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

A predator–prey model with prey refuge: under a stochastic and deterministic environment

Chatterjee,

Abbasi,

Venturino

et al. 2024

Nonlinear Dyn

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The stochastic stability and bifurcation analysis of permanent magnet synchronous motor excited by Gaussian white noise

Cited by 2 publications

References 26 publications

A Predator-Prey model with Prey Refuse: under a stochastic and deterministic environment

A Predator-Prey model with Prey Refuse: under a stochastic and deterministic environment

A predator–prey model with prey refuge: under a stochastic and deterministic environment

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