DYNAMICS OF A MODIFIED SPROTT A SYSTEM
We consider a modified Sprott A system, which is one of the 17 systems that exhibit chaotic behavior with no equilibrium, introduced by Jafari, Sprott, and Golpayegani (2013). For a = 0, all orbits live in the invariant sphere. We investigate the stability of the equilibria occurring in the syste...
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id-itb.:836832024-08-12T14:21:12ZDYNAMICS OF A MODIFIED SPROTT A SYSTEM Nuur Rohman, Muhammad Indonesia Theses Sprott A, invariant sphere, tori, chaotic attractor INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/83683 We consider a modified Sprott A system, which is one of the 17 systems that exhibit chaotic behavior with no equilibrium, introduced by Jafari, Sprott, and Golpayegani (2013). For a = 0, all orbits live in the invariant sphere. We investigate the stability of the equilibria occurring in the system and prove that all orbits except the unstable equilibrium point converge to the stable equilibrium point. For a > 0, we found no invariant spheres and equilibrium points. There exists tori for some specific domains in the phase space. For a specific parameter value, the phase space is foliated by tori. We also found a chaotic attractor that co-exists with tori. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
| description |
We consider a modified Sprott A system, which is one of the 17 systems that exhibit
chaotic behavior with no equilibrium, introduced by Jafari, Sprott, and Golpayegani
(2013). For a = 0, all orbits live in the invariant sphere. We investigate the stability
of the equilibria occurring in the system and prove that all orbits except the unstable
equilibrium point converge to the stable equilibrium point. For a > 0, we found no
invariant spheres and equilibrium points. There exists tori for some specific domains
in the phase space. For a specific parameter value, the phase space is foliated by
tori. We also found a chaotic attractor that co-exists with tori. |
| format |
Theses |
| author |
Nuur Rohman, Muhammad |
| spellingShingle |
Nuur Rohman, Muhammad DYNAMICS OF A MODIFIED SPROTT A SYSTEM |
| author_facet |
Nuur Rohman, Muhammad |
| author_sort |
Nuur Rohman, Muhammad |
| title |
DYNAMICS OF A MODIFIED SPROTT A SYSTEM |
| title_short |
DYNAMICS OF A MODIFIED SPROTT A SYSTEM |
| title_full |
DYNAMICS OF A MODIFIED SPROTT A SYSTEM |
| title_fullStr |
DYNAMICS OF A MODIFIED SPROTT A SYSTEM |
| title_full_unstemmed |
DYNAMICS OF A MODIFIED SPROTT A SYSTEM |
| title_sort |
dynamics of a modified sprott a system |
| url |
https://digilib.itb.ac.id/gdl/view/83683 |
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1823656897996128256 |