Shil’nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System
| contributor author | Robert A. Van Gorder | |
| contributor author | S. Roy Choudhury | |
| date accessioned | 2017-05-09T00:42:43Z | |
| date available | 2017-05-09T00:42:43Z | |
| date copyright | April, 2011 | |
| date issued | 2011 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-25756#021013_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/145563 | |
| description abstract | We study the chaotic behavior of the T system, a three dimensional autonomous nonlinear system introduced by (2005, “Analysis of a Dynamical System Derived From the Lorenz System,” Scientific Bulletin Politehnica University of Timisoara, Tomul, 50, pp. 61–72), which has potential application in secure communications. Here, we first recount the heteroclinic orbits of and (2008, “Analysis of a 3D Chaotic System,” Chaos, Solitons Fractals, 36, pp. 1315–1319), and then we analytically construct homoclinic orbits describing the observed Smale horseshoe chaos. In the parameter regimes identified by this rigorous Shil’nikov analysis, the occurrence of interesting behaviors thus predicted in the T system is verified by the use of numerical diagnostics. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Shil’nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System | |
| type | Journal Paper | |
| journal volume | 6 | |
| journal issue | 2 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4002685 | |
| journal fristpage | 21013 | |
| identifier eissn | 1555-1423 | |
| keywords | Theorems (Mathematics) | |
| keywords | Stability | |
| keywords | Homoclinic orbits | |
| keywords | Chaos | |
| keywords | Equilibrium (Physics) | |
| keywords | Dynamic systems | |
| keywords | Fractals AND Nonlinear systems | |
| tree | Journal of Computational and Nonlinear Dynamics:;2011:;volume( 006 ):;issue: 002 | |
| contenttype | Fulltext |
