Abstract
State diagrams of two model systems involving three variables are constructed. The parameter dependence of different forms of complex nonperiodic behavior, and particularly of homoclinic orbits, is analyzed. It is shown that the onset of homoclinicity is reflected by deep changes in the qualitative behavior of the system.
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Gaspard, P., Nicolis, G. What can we learn from homoclinic orbits in chaotic dynamics?. J Stat Phys 31, 499–518 (1983). https://doi.org/10.1007/BF01019496
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DOI: https://doi.org/10.1007/BF01019496