Results 61 to 70 of about 1,426,127 (317)
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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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
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Optimal Stabilization of Periodic Orbits
IFAC-PapersOnLine, 2023 Submitted for a journal on November 29 ...
Beck, Fabian, Sakamoto, Noboru
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Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
The Scientific World Journal, 2014 By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin +5 more
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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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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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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
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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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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 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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