{"id":14499,"date":"2022-08-03T06:54:16","date_gmt":"2022-08-03T06:54:16","guid":{"rendered":"https:\/\/file.currentschoolnews.com\/?post_type=product&p=14499"},"modified":"2022-08-12T15:33:50","modified_gmt":"2022-08-12T15:33:50","slug":"control-of-non-linear-oscillations-in-plasma-governed-by-a-van-der-pol-equation","status":"publish","type":"product","link":"https:\/\/pastexamquestions.com\/product\/control-of-non-linear-oscillations-in-plasma-governed-by-a-van-der-pol-equation\/","title":{"rendered":"Control of Non Linear Oscillations in Plasma Governed by A Van Der Pol Equation"},"content":{"rendered":"

– Control of Non Linear Oscillations in Plasma Governed by A Van Der Pol Equation –<\/strong><\/span><\/p>\n

Download Control of Non Linear Oscillations in Plasma Governed by A Van Der Pol Equation<\/strong><\/span>. Students who are writing their projects can get this material to aid their research work.<\/span><\/span><\/p>\n

Abstract<\/strong><\/h3>\n

This thesis deals with the control of non-linear oscillations in plasma governed by a classical Van der Pol equation. The main interest devoted to such an investigation is that non-linear oscillations in plasma are essential in the industry.<\/p>\n

In chapter 1, we present some generality on the dynamical systems. Chapter 2 is focused on the analytical study of the Van der Pol equation in the autonomousregime. The amplitude and the phase of the stable limit cycle<\/a> are derived using the Averaging Method . In chapter 3, we investigate the oscillations in plasma.<\/p>\n

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Introduction<\/strong><\/h3>\n

1.1 Background of the Study<\/strong><\/p>\n

The dynamical systems constitute a very large eld of science [1, 2, 3, 4, 5]. They are generally represented by non-linear equations. A phenomenon is non-linear when his evolution doesn’t obey a linear Mathematics law.<\/p>\n

The non-linear electric oscillators are those whom the one of the constitutive elements to the characteristics intensity – tension is of the non-linear form. We can mention (diode, transistor, operational amplier, etc) The presence of the non-linear components is in the beginning of many observed phenomena.<\/p>\n

We can also mention (hysteresis, resonance [6, 7]) Another important phenomenon resulting of the presence of non-linear components is the apparition of chaos, curious phenomenon, rich and complex met almost in all branches of instruction: electronic, astronomy, biology, chemistry, economy, etc.<\/p>\n

Particularly in electronic, it is known the works of a Dutch electrical engineer Balthazar Van der Pol on an oscillator presenting a various mode[8] whom equation is.<\/p>\n

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