Fractional Stochastic Van der Pol Oscillator with Piecewise Derivatives DOI Creative Commons
Atul Kumar, Khursheed Alam, Mati ur Rahman

et al.

Journal of Mathematics, Journal Year: 2024, Volume and Issue: 2024(1)

Published: Jan. 1, 2024

This work investigates piecewise Vand der Pol oscillator under the arbitrary order, derivatives, and power nonlinearities to present a novel idea of systems using classical‐power‐law randomness classical Mittag–Leffler‐law‐randomness. We are able study dynamics Van oscillators because is one prototype models systems. It has become famous for examining To obtain approximate solution aforementioned system, Adams–Bashforth method applied. The algorithm obtaining numerical solutions presented as well obtained results were graphically along with their different behavior. successfully applied model, diversity physical processes like nonlinear electronic circuits. Despite simplicity this oscillator, behavior extremely prosperous research still ongoing.

Language: Английский

Fractional Stochastic Van der Pol Oscillator with Piecewise Derivatives DOI Creative Commons
Atul Kumar, Khursheed Alam, Mati ur Rahman

et al.

Journal of Mathematics, Journal Year: 2024, Volume and Issue: 2024(1)

Published: Jan. 1, 2024

This work investigates piecewise Vand der Pol oscillator under the arbitrary order, derivatives, and power nonlinearities to present a novel idea of systems using classical‐power‐law randomness classical Mittag–Leffler‐law‐randomness. We are able study dynamics Van oscillators because is one prototype models systems. It has become famous for examining To obtain approximate solution aforementioned system, Adams–Bashforth method applied. The algorithm obtaining numerical solutions presented as well obtained results were graphically along with their different behavior. successfully applied model, diversity physical processes like nonlinear electronic circuits. Despite simplicity this oscillator, behavior extremely prosperous research still ongoing.

Language: Английский

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