Abstract
In the qualitative theory of differential equations, especially in the so called “catastrophe theory”, it has turned out that differential equations of the gradient type are relatively easy to deal with /Thorn, 1975/. Furthermore — and this may prove more relevant — it has been proposed sometimes that gradient systems are only worth studying in thermodynamics. /Gyarmati, 1961a, b; Edelen, 1973A Easy treatment and physical relevance has also come up in connection with equations with other kinds of symmetries too: in connection with Hamiltonian systems and systems having similar but different specialities. In the present paper we study the relevance of these notions within the class of kinetic differential equations. The twodimensional case is fully clarified, the multidimensional case is only sketched. Reactions are shown with each of the mentioned properties. Finally, a common framework is provided to embrace al the properties within a single definition.
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© 1988 Plenum Press, New York
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Tóth, J., Érdi, P. (1988). Kinetic Symmetries: Some Hints. In: Moreau, M., Turq, P. (eds) Chemical Reactivity in Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1023-5_46
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DOI: https://doi.org/10.1007/978-1-4613-1023-5_46
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8297-6
Online ISBN: 978-1-4613-1023-5
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