Dynamical Complexity and Multistability in a Novel Lunar Wake Plasma System

Prasad, Punam Kumari; Mukherjee, Sayan; Saha, Asit; Banerjee, Santo

doi:10.1155/2020/5428548

Cited by 11 publications

(4 citation statements)

References 29 publications

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“…However, there are reports of multistability property [63] existing in a system which shows two or more different dynamical behaviors for same set of parameters but at different initial conditions. Recently, using the concept of dynamical system multistability of small-amplitude SNWs are reported in various plasma systems [64][65][66]. There are few works that contribute on studies of nonlinear waves in magnetized plasma system [67,68].…”

Section: Introductionmentioning

confidence: 99%

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

2021

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Supernonlinear ion-acoustic waves (IAWs) and their multistability are studied under the Zakharov-Kuznetsov (ZK) and modified ZK (mZK) equations in a rotating magnetized electron-ion plasma that consists of generalized (r, q)-distributed electrons. Bifurcation of IAW is presented through phase plane analysis and existence of IAW solutions is also shown through graphs of potential energy function. Supernonlinear wave exists for system corresponding to mZK equation with nonlinear periodic and solitary wave solutions. Effects of strength (q) and flatness (r) of the (r, q)-distribution on IAW solutions are shown along with other parameters, such as speed of the wave (V) and direction cosine (n). Furthermore, introducing an extraneous periodic perturbation, multistability property of the perturbed dynamical system is examined, and it is displayed using phase space and time series plots. Features of coexisting trajectories are examined for different values of spectral indices (r, q). Existence of two different types of chaos are supported through Lyapunov exponent graphs. Here, acceptable parametric values of spectral indices (r, q) are considered from data values of slow solar wind streams. Hence, supernonlinear periodic IAW and multistability property under the modified ZK equation are reported for the first time in rotating electron-ion magnetized plasma with (r, q)-distributed electrons. This study is applicable to understand supernonlinear wave features and multistability property of ion-acoustic wave motions featured in slow solar wind streams.

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Section: Introductionmentioning

confidence: 99%

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

2021

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“…They also showed multistability features for electron-acoustic waves. Yan et al [49] performed 0-1 chaos test to verify chaotic nature of electrostatic waves in the perturbed lunar wake plasma.…”

Section: Introductionmentioning

confidence: 99%

Coexisting wave features and various nonlinear waves for Schrödinger equation in superthermal dusty plasma

et al. 2022

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Coexistence of dust-acoustic wave (DAW) features and their properties are studied in a four-component dusty plasma constituting superthermal plasma particles in the framework of nonlinear Schrodinger equation (NLSE). Dynamical behaviors of the system are first explored by phase portraits and then the solutions corresponding to phase trajectories are explained analytically as well as numerically with physical perceptions. Introducing a periodic force, the system is analyzed for the existence of multi-periodic, quasiperiodic, and chaotic motions. Results of this work can be useful to understand the wave phenomena in the interstellar medium where superthermally distributed plasma particles are recognized.

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“…Their results were interesting but unfortunately they have chosen parameters in such a way that amplitude of perturbed electrostatic potential are greater than 1 which is unacceptable after using RPT. Recently, dynamical features such as chaos, quasiperiodicity, periodicity and multiperiodicty have been vigorously investigated in plasma systems using perturbative [27,30] and non-perturbative [31][32][33] approaches. A periodic orbit of order more than one is known as multiperiodic orbit.…”

Section: Introductionmentioning

confidence: 99%

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Saha¹,

Pradhan²,

Natiq³

2022

Phys. Scr.

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Dynamical features of small-amplitude ion-acoustic waves are investigated under KP-type equation in a magnetized electron-ion plasma, where electrons follow q-nonextensive distribution. To carry out this investigation, a four dimensional conservative dynamical system is proposed from this plasma model. By changing values of travelling wave velocity, ratio between ion gyro frequency and ion plasma frequency and q-nonextensive parameter, the system produces different dynamical features, such as periodic, multi-periodic, quasiperiodic, and chaotic ion-acoustic wave phenomena. It is observed that ratio between ion gyro frequency and ion plasma frequency plays the key role in the existence of ion-acoustic chaotic wave phenomenon. Also, existence of higher order periodic trajectories is seen to indicate chaotic phenomenon.

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Dynamical Complexity and Multistability in a Novel Lunar Wake Plasma System

Cited by 11 publications

References 29 publications

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

Coexisting wave features and various nonlinear waves for Schrödinger equation in superthermal dusty plasma

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

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