Quasiperiodic Route to Chaos for the Dust Ion Acoustic Waves in Magnetized Dusty Plasmas

Mandi, Laxmikanta; Ali, Rustam; Chatterjee, Prasanta

doi:10.1134/s1063780x2105007x

Cited by 1 publication

(2 citation statements)

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“…Replacing Φ (1) by ψ in the EKdV equation (28) we obtain Phase portraits of the system (30) for δ = 0, δ = 0.9979402655783319 and δ = 0.9999 with Ω = 0.3, H = 0.2, M = 0.5 and l z = 0.5 are shown in figures 8(a)-(c), respectively. From these three figures one can notice qualitative change in phase portrait when the value of δ is varied.…”

Section: E E I E E I E E I E E I E E I E E I E E I E E I E E I E E I ...mentioning

confidence: 99%

“…Recently, dynamical behaviors like quasiperiodicity and chaos have been explored and reported in various plasma systems by employing perturbative [28] and non-perturbative [29] approaches. Quasiperiodic motion executed by a dynamical system is the type of motion that contains a finite number (two or more) of incommensurable frequencies [30].…”

Section: Introductionmentioning

confidence: 99%

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Propagation of ion-acoustic wave and its fractal representations in spin polarized electron plasma

et al. 2023

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Propagation of small-amplitude ion-acoustic waves and its fractal representations is investigated in an electron-ion quantum plasma with separated spin electrons in the framework of the KdV and EKdV equations derived using reductive perturbation technique. The two evolution equations are transformed into planar dynamical systems by using suitable traveling wave transformation. Qualitatively diﬀerent phase portraits of these two systems are drawn with their respective Sagdeev’s pseudopotential curves and surface plots. Distinct orbits in the phase portraits give rise to distinct wave solutions. Periodic and superperiodic wave solutions are investigated numerically and solitary wave solutions are derived analytically. The eﬀect of parameters such as Mach number, direction cosine, spin polarization and frequency ratio on these wave solutions are presented. For instance, it is seen that the spin density polarization ratio has an impressive eﬀect on the amplitude of the wave solution, while the frequency ratio has no eﬀect on its amplitude. Also, we have provided a physical explanation for our ﬁnding. Further, the dynamical features of the original system and reconstructed system using fractal interpolation function are investigated under the external forcing term. Chaotic and quasiperiodic phenomena are observed for diﬀerent initial conditions. The results may help to better understand the degenerate electron gas that exists in astrophysical bodies and laboratory plasmas such as paramagnetic and ferromagnetic metals in exposing the external magnetic ﬁeld.

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Section: E E I E E I E E I E E I E E I E E I E E I E E I E E I E E I ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagation of ion-acoustic wave and its fractal representations in spin polarized electron plasma

et al. 2023

View full text Add to dashboard Cite

show abstract

Quasiperiodic Route to Chaos for the Dust Ion Acoustic Waves in Magnetized Dusty Plasmas

Cited by 1 publication

References 53 publications

Propagation of ion-acoustic wave and its fractal representations in spin polarized electron plasma

Propagation of ion-acoustic wave and its fractal representations in spin polarized electron plasma

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