Order to Chaos Transition in Plasma via Non-Differentiability: Experimental and Theoretical Investigations

Agop, M.; Dimitriu, Dan Gheorghe; Vrajitoriu, Lucia; Boicu, Maria

doi:10.7566/jpsj.83.054501

Cited by 4 publications

(7 citation statements)

References 41 publications

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“…Such a dynamical behaviour is very similar to phenomena intensively investigated for the last 2 years [29][30][31][32][33], consisting of sequences of order to chaos to order transitions. The phenomenon seems to be due to a competition of different scenarios of routes to chaos, in conditions in which the attraction basins of different strange attractors are in close vicinity [29].…”

Section: Resultssupporting

confidence: 68%

“…The time series of the discharge current oscillations were recorded and analysed to describe its nonlinear dynamics. The analysis revealed a complex process consisting of order to chaos to order transitions, similar to the competition of routes to chaos described in very recent works [29][30][31][32][33].…”

Section: Introductionsupporting

confidence: 61%

“…The time series of the discharge current reveal strongly nonlinear dynamics of the complex space charge structure. Thus, during re-increasing the grid potential, before disappearing, the structure passes through different dynamic states involving chaos, quasiperiodicity and period-doubling bifurcations, looking like a competition of different routes to chaos, as that one described in [4]. Fig.…”

Section: Resultsmentioning

confidence: 84%

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Experimental investigations of the nonlinear dynamics of a complex space-charge configuration inside and around a grid cathode with hole

et al. 2016

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By negatively biasing a metallic grid with a small hole, down to a critical value of the applied potential a complex space-charge structure appears inside and around the grid cathode. The static current–voltage characteristic of the discharge shows one or two current jumps (the number of current jumps depending on the working gas pressure), one of them being of hysteretic type. Electrical probe measurements show a positive potential inside the grid cathode with respect to the potential applied on it. This is interpreted as being due to the hollow cathode effect. Thus, the inner fireball appears around the virtual anode inside the grid cathode. For more negative potentials, the electrons inside the cathode reach sufficient energy to penetrate the inner sheath near the cathode, passing through the hole and giving rise to a second fireball-like structure located outside the cathode. This second structure interacts with the negative glow of the discharge. The recorded time series of the discharge current oscillations reveal strongly nonlinear dynamics of the complex space-charge structure: by changing the negative potential applied on the grid cathode, the structure passes through different dynamic states involving chaos, quasi-periodicity, intermittency and period-doubling bifurcations, appearing like a competition of different routes to chaos.

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Section: Resultssupporting

confidence: 68%

Section: Introductionsupporting

confidence: 61%

Section: Resultsmentioning

confidence: 84%

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Experimental investigations of the nonlinear dynamics of a complex space-charge configuration inside and around a grid cathode with hole

et al. 2016

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“…For a one component fluid, the mass, momentum and internal energy equations are the expressions (see the fractal -nonfractal transition method [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]):…”

Section:  mentioning

confidence: 99%

“…This topic was developed in the Scale Relativity Theory (SRT) [6,7] and in the non-standard Scale Relativity Theory (NSSRT) [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. [In the framework of SRT or NSSRT we assume that the movements of complex system entities take place on continuous but non-differentiable curves (fractal curves) so that all physical phenomena involved in the dynamics depend not only on the space-time coordinates but also on the space-time scales resolution.…”

Section: Introductionmentioning

confidence: 99%

Implications of Quantum Informational Entropy in Some Fundamental Physical and Biophysical Models

Agop¹,

Gavriluţ²,

Buzea³

et al. 2015

Selected Topics in Applications of Quantum Mechanics

Self Cite

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Correspondingly, the theoretical models that describe the complex systems dynamics become more and more advanced [ -]. For all that, this problem can be solved by taking into account that the complexity of the interaction process implies various temporal resolution scales, and the pattern evolution implies different degrees of freedom [ ].[In order to develop new theoretical models we must state the fact that the complex systems displaying chaotic behavior are recognized to acquire self-similarity space-time structures can appear in association with strong fluctuations at all possible space-time scales [ -]. "fterwards, for temporal scales that are large with respect to the inverse of the highest Lyapunov exponent, the deterministic trajectories are replaced by a set of potential trajectories and the concept of definite positions by that of probability density] [ ]. "n interesting example is the collisions processes in complex systems, where the dynamics of the particles can be described by non-differentiable curves.Since non-differentiability can be considered a universal property of complex systems, it is mandatory to develop a non-differentiable physics. In this way, by considering that the complexity of the interaction processes is replaced by non-differentiability, using the entire range of quantities from the standard physics differentiable physics is no longer required [ ].This topic was developed in the Scale Relativity Theory SRT [ , ] and in the non-standard Scale Relativity Theory NSSRT [ -]. [In the framework of SRT or NSSRT we assume that the movements of complex system entities take place on continuous but non-differentiable curves fractal curves so that all physical phenomena involved in the dynamics depend not only on the space-time coordinates but also on the space-time scales resolution. In this conjecture, the physical quantities that describe the dynamics of complex systems can be considered as fractal functions. In addition, the entities of the complex system may be reduced to and identified with their own trajectories. In this way, the complex system's behavior will be identical to the one of a special interaction-less fluid by means of its geodesics in a nondifferentiable fractal space] [ , , ].In such context notions as informational entropy, Onicescu informational energy etc become important in the Nature description. These notions will be correlated with the fractal part of the physical quantities that describe the dynamics of complex systems. . Informational entropy and energyIndependently of scale resolution, the motion, either on infragalactic scale for instance, the planetary motion , or on atomic scale for instance, the motion of the electron around its nucleus takes place on conics ellipses . Such motion in invariant with respect to the SL R group. In what follows, we shall consider this invariance only with respect to the motion on atomic scale. . . SL R invariance and canonic formalismSL R group is the group of transformations [ -]

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Order to chaos transition studies in a DC glow discharge plasma by using recurrence quantification analysis

Mitra

Sarma

Janaki

et al. 2014

Chaos, Solitons & Fractals

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Order to Chaos Transition in Plasma via Non-Differentiability: Experimental and Theoretical Investigations

Cited by 4 publications

References 41 publications

Experimental investigations of the nonlinear dynamics of a complex space-charge configuration inside and around a grid cathode with hole

Experimental investigations of the nonlinear dynamics of a complex space-charge configuration inside and around a grid cathode with hole

Implications of Quantum Informational Entropy in Some Fundamental Physical and Biophysical Models

Order to chaos transition studies in a DC glow discharge plasma by using recurrence quantification analysis

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