Results 31 to 40 of about 103,423 (272)
On the fixed points of a Hamiltonian diffeomorphism in presence of fundamental group [PDF]
, 2014 Let M be a weakly monotone symplectic manifold, and H be a time-dependent Hamiltonian; we assume that the periodic orbits of the corresponding time-dependent Hamiltonian vector field are non-degenerate.
Ono, Kaoru, Pajitnov, Andrei
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Periodic Orbit Theory of Diffraction [PDF]
Physical Review Letters, 1994 An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of singularity and which correspond to creping waves. A new family of resonances in the two disk scattering system can be well described
Vattay, G., Wirzba, A., Rosenqvist, P.
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Unstable periodic orbits and attractor of the barotropic ocean model [PDF]
Nonlinear Processes in Geophysics, 1998 A numerical method for detection of unstable periodic orbits on attractors of nonlinear models is proposed. The method requires similar techniques to data assimilation. This fact facilitates its implementation for geophysical models. ...
E. Kazantsev
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Global Analysis of a Planetary Gear Train
Shock and Vibration, 2014 By using the Poincaré-like cell-to-cell mapping method and shooting method, the global characteristics of a planetary gear train are studied based on the torsional vibration model with errors of transmission, time-varying meshing stiffness, and multiple ...
Tongjie Li, Rupeng Zhu
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Periodic and Chaotic Orbits of a Neuron Model
Mathematical Modelling and Analysis, 2015 In this paper we study a class of difference equations which describes a discrete version of a single neuron model. We consider a generalization of the original McCulloch-Pitts model that has two thresholds.
Aija Anisimova +2 more
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Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
Physical Review X, 2021 The theory of quantum scarring—a remarkable violation of quantum unique ergodicity—rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the nonergodic states that strongly overlap ...
C. J. Turner +3 more
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Existence and Stability of nT-Periodic Orbits in the Boost Converter
Applied Sciences, 2022 In high load conditions, the boost converter presents some phenomena, such as chattering, chaos, subharmonics, and nT-periodic orbits, which require studying them with the aim of reducing the effects and improving the performance of these electronic ...
Simeón Casanova Trujillo +2 more
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Application of the diffraction trace formula to the three disk scattering system [PDF]
, 1996 The diffraction trace formula ({\em Phys. Rev. Lett.} {\bf 73}, 2304 (1994)) and spectral determinant are tested on the open three disk scattering system. The system contains a generic and exponentially growing number of diffraction periodic orbits.
Rosenqvist, Per E. +2 more
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Replicate Periodic Windows in the Parameter Space of Driven Oscillators
, 2011 In the bi-dimensional parameter space of driven oscillators, shrimp-shaped periodic windows are immersed in chaotic regions. For two of these oscillators, namely, Duffing and Josephson junction, we show that a weak harmonic perturbation replicates these ...
Baptista +34 more
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