Results 51 to 60 of about 1,446,784 (362)
On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
Mathematics, 2020 Here we study 3-dimensional Lotka–Volterra systems. It is known that some of these differential systems can have at least four periodic orbits bifurcating from one of their equilibrium points.
Maoan Han, Jaume Llibre, Yun Tian
doaj +1 more source
Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits. [PDF]
Chaos, 2017 We consider how breakdown of the quasistatic approximation for attractors can lead to rate-induced tipping, where a qualitative change in tracking/tipping behaviour of trajectories can be characterised in terms of a critical rate.
H. Alkhayuon, P. Ashwin
semanticscholar +1 more source
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
doaj +1 more source
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.
openaire +4 more sources
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
doaj
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
doaj +1 more source
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
doaj +1 more source
, 2005 We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropriate scheme that transforms the problem of finding periodic orbits into the
Parsopoulos, K. E. +3 more
core +1 more source
Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation [PDF]
, 2015 In this paper, we develop computer-assisted techniques for the analysis of periodic orbits of ill-posed partial differential equations. As a case study, our proposed method is applied to the Boussinesq equation, which has been investigated extensively ...
R. Castelli, Marcio Gameiro, J. Lessard
semanticscholar +1 more source
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
doaj +1 more source