The theoretical scenario depicted in this monograph is not a rephrasing of already known facts in an unusual mathematical language.

In fact, the Riemannian theory of Hamiltonian chaos, though still formulated at a somewhat primitive level (in that it does not yet include the role of nontrivial topology of the mechanical manifolds), provides a natural explanation of the origin of the chaotic instability of classical dynamics, substantially in the absence of competing theories.


Lyapunov Exponent Ricci Curvature Helmholtz Free Energy Large Lyapunov Exponent Topological Theory 
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© Springer Science+Business Media 2007

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