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On a Method of Finding Homoclinic and Heteroclinic Orbits in Multidimensional Dynamical Systems |
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PP: 383-394 |
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Author(s) |
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Gheorghe Tigan,
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Abstract |
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| The presence of bounded orbits such as homoclinic and heteroclinic orbits are important
in a dynamical system. Chaotical behavior or the presence of periodic orbits of a
system is often preceded by destruction of a homoclinic or heteroclinic orbit. In this
work we give insights on a method of detecting homoclinic or heteroclinic orbits in a
three-dimensional dynamical system. The method can also be applied for multidimensional
systems. |
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