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- Paul Melby, Jörg Kaidel, Nils Weber, Alfred W. Hübler
- Physical review letters
- 2000

Self-adjusting, or adaptive, systems have gathered much recent interest. We present a model for self-adjusting systems which treats the control parameters of the system as slowly varying, rather than constant. The dynamics of these parameters is governed by a low-pass filtered feedback from the dynamical variables of the system. We apply this model to the… (More)

- Paul Melby, Benny Brown, +6 authors Carl Tracy

We present a mechanism for adaptation in dynamical systems. Systems which have this mechanism are called called self-adjusting systems. The control parameters in a self-adjusting system are slowly varying, rather than constant. The dynamics of the control parameters are governed by a lowpass filtered feedback from the dynamical variables. We apply this… (More)

- Jörg Kaidel
- 2003

In Hamiltonian systems with mixed phase space and discrete symmetries, sequences of isochronous pitchfork bifurcations of periodic orbits pave the way from integrability to chaos. In extending the semiclassical trace formula for the spectral density, we develop a new codimension-two uniform approximation for the combined contribution of two successive… (More)

- Jörg Kaidel, Matthias Brack
- Physical review. E, Statistical, nonlinear, and…
- 2004

In nonintegrable Hamiltonian systems with mixed phase space and discrete symmetries, sequences of pitchfork bifurcations of periodic orbits pave the way from integrability to chaos. In extending the semiclassical trace formula for the spectral density, we develop a uniform approximation for the combined contribution of pitchfork bifurcation pairs. For a… (More)

- Jörg Kaidel, Paul Winkler, Matthias Brack
- Physical review. E, Statistical, nonlinear, and…
- 2004

We investigate the resonance spectrum of the Hénon-Heiles potential up to twice the barrier energy. The quantum spectrum is obtained by the method of complex coordinate rotation. We use periodic orbit theory to approximate the oscillating part of the resonance spectrum semiclassically and Strutinsky smoothing to obtain its smooth part. Although the system… (More)

We present a semiclassical method to determine the spectral density in the continuum region of general mixed-dynamical systems without restriction to asymptotically vanishing potentials. The spectral density is written in terms of the complex eigenvalues corresponding to the resonances and approximated semiclassically by a trace formula in terms of… (More)

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