Matrix-second order differential equations and chaotic Hamiltonian systems (Q1263853)
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scientific article; zbMATH DE number 4128121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matrix-second order differential equations and chaotic Hamiltonian systems |
scientific article; zbMATH DE number 4128121 |
Statements
Matrix-second order differential equations and chaotic Hamiltonian systems (English)
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1989
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The authors consider matrix-second order differential equations which are perturbations of the harmonic flow on the space of matrices. Experimental evidence of the non-integrability of the two degrees of freedom Hamiltonian system provides an indication of the non-existence of a Lax pair with commuting eigenvalues for perturbations of order six. This shows the specificity of quartic perturbations for which such a Lax pair was precedently obtained.
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strange attractors
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chaos
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bifurcation theory
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harmonic flow
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Lax pair
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perturbations
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