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The analysis of NSG system for existence of Si’lnikov chaos |
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| Institution: | 1. Department of Physics, Mu''tah University, Al-Karak, Jordan;2. Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman, Jordan;3. Applied Physics Department, Tafila Technical University, Tafila, Jordan;4. Department of Computer Science, College of Shari''a and Islamic Studies in Al Ahsaa, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia;1. Department of Physics, National Institute of Technology, Jamshedpur 831014, India |
| Abstract: | To our knowledge the article in hand is first ever study for existence of Si’lnikov type of chaos for Nuclear Spin Generator (NSG) system. This paper deals with the existence of heteroclinic Si’lnikov-type orbits within an NSG chaotic system involving three parameters and having three equilibrium points. Method of undetermined coefficient is applied for analytical analysis of heteroclinic orbits. As an outcome the Si’lnikov criteria guarantees that the NSG system has a Smale horseshoe type chaos. Uniform convergence of series expansion for heteroclinic orbit is verified in this paper. Lyapunov exponents spectrum and sensitivity dependence are discussed. Numerical simulations are compiled for the verification of analytical results and bifurcation diagrams are displayed. Though examination of Si’lnikov criterion for NSG system is an exhaustive study but we have succeeded to explore an other aspect of the system by this criterion. |
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