Results 41 to 50 of about 107,633 (324)
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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Periodic orbit theory for Rydberg atoms in external fields [PDF]
, 1998 Although hydrogen in external fields is a paradigm for the application of periodic orbits and the Gutzwiller trace formula to a real system, the trace formula has never been applied successfully to other Rydberg atoms.
Dando, P, Monteiro, TS, Owen, SM
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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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Mathematical Biosciences and Engineering, 2019 In this paper, we construct an inertial two-neuron system with a non-monotonic activation function. Theoretical analysis and numerical simulation are employed to illustrate the complex dynamics.
Zigen Song, Jian Xu, Bin Zhen
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On the bifurcation and continuation of periodic orbits in the three-body problem
, 2011 We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits. Asymmetric orbits exist in the restricted circular three body problem only in particular
Antoniadou, K. I. +2 more
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Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II [PDF]
, 2004 We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry.
Wilczak, D., Zgliczynski, P.
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On periodic orbits in discrete-time cascade systems
Discrete Dynamics in Nature and Society, 2006 We present some results on existence, minimum period, number of periodic orbits, and stability of periodic orbits in discrete-time cascade systems. Some examples are presented to illustrate these results.
Huimin Li, Xiao-Song Yang
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Moving average network examples for asymptotically stable periodic orbits of monotone maps
Electronic Journal of Qualitative Theory of Differential Equations, 2018 For a certain type of discrete-time nonlinear consensus dynamics, asymptotically stable periodic orbits are constructed. Based on a simple ordinal pattern assumption, the Frucht graph, two Petersen septets, hypercubes, a technical class of circulant ...
Barna Garay, Judit Várdai
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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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Precessing and periodic motions around a black-bounce/traversable wormhole
European Physical Journal C: Particles and Fields, 2020 We investigate precessing and periodic geodesic motions of timelike particles around a black-bounce/traversable wormhole. After obtaining its semi-classic and relativistic periastron advance, we find a preliminary bound on the scale length of such a ...
Tian-Yi Zhou, Yi Xie
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