Beyond the periodic orbit theory
Copyright policy )Beyond the periodic orbit theory
The global constraints on chaotic dynamics induced by the analyticity of smooth flows are used to dispense with individual periodic orbits and derive infinite families of exact sum rules for several simple dynamical systems. The associated Fredholm determinants are of particularly simple polynomial form. The theory developed suggests an alternative to the conventional periodic orbit theory approach to determining eigenspectra of transfer operators.
29 pages Latex2e
- University of Copenhagen Denmark
- University of Copenhagen Denmark
- Eötvös Loránd University Hungary
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, unstable periodic orbits, chaotic dynamical systems, contour integration methods, FOS: Physical sciences, spectra of transfer operators, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, periodic orbits, Fredholm determinants
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, unstable periodic orbits, chaotic dynamical systems, contour integration methods, FOS: Physical sciences, spectra of transfer operators, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, periodic orbits, Fredholm determinants
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