Results 61 to 70 of about 717,589 (231)
Periodic and homoclinic orbits in a toy climate model [PDF]
Nonlinear Processes in Geophysics, 1994 A two dimensional system of autonomous nonlinear ordinary differential equations models glacier growth and temperature changes on an idealized planet.
M. Toner, A. D. Kirwan, Jr.
doaj
Control optimization and homoclinic bifurcation of a prey–predator model with ratio-dependent
Advances in Difference Equations, 2019 In this paper, a predator–prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the homoclinic cycle is obtained by analyzing the
Zhenzhen Shi +3 more
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Shock and Vibration, Volume 2025, Issue 1, 2025.To reduce the giant magnetostrictive actuator’s (GMA) irregular vibration caused by system parameter changes, we innovatively apply fractional‐order time‐delay feedback to control bifurcation and chaos in the GMA’s nonlinear dynamics. The GMA dynamic equation with feedback control is established using the quadratic domain rotation model, the Jiles ...
Xin Fu +4 more
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Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms [PDF]
, 2021 Haiyan Lv, Guanwei Chen
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Homoclinic orbit solutions of a one Dimensional Wilson-Cowan type model
Electronic Journal of Differential Equations, 2008 We analyze a time independent integral equation defined on a spatially extended domain which arises in the modelling of neuronal networks. In this paper, the coupling function is oscillatory and the firing rate is a smooth "heaviside-like" function ...
Edward P. Krisner
doaj
Electronic Current Density Induced by Uniform Magnetic Fields in Clarenes
Chemistry – A European Journal, Volume 30, Issue 43, August 1, 2024.Calculations of the magnetic response are reported for few selected clarenes, the most stable isomers among cycloarenes, as identified by maximization of the number of Clar sextets, and tested computationally. Only some of the rings endowed with a Clar sextet show an exaltation of the diatropic ring current, as could have been expected based on ...
Guglielmo Monaco +3 more
wiley +1 more source
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system
Studies in Applied Mathematics, Volume 153, Issue 1, July 2024.Abstract The Serre–Green–Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre–Green–Naghdi system incorporating the effect of an artificial term that results in dispersive and dissipative dynamics.
Daria Bolbot +2 more
wiley +1 more source
Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
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Oscillations in three‐reaction quadratic mass‐action systems
Studies in Applied Mathematics, Volume 152, Issue 1, Page 249-278, January 2024.Abstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Murad Banaji +2 more
wiley +1 more source
Sufficient close-to-necessary Condition for the existence of homoclinic orbits, and applications [PDF]
, 2022 Taib Talbi +2 more
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