Results 61 to 70 of about 1,641 (211)
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
wiley +1 more source
On the so called rogue waves in nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2016 The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the infinite spatial
Y. Charles Li
doaj
The bifurcation of homoclinic orbits of maps of the interval [PDF]
Ergodic Theory and Dynamical Systems, 1982 AbstractRelationships involving homoclinic orbits of various periods and the Sarkovskii stratification are given and corresponding bifurcation properties are derived. It is shown that if a continuous map has one homoclinic periodic orbit, it has infinitely many.
Louis Block, David Hart
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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
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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
Numerical Algorithms for Homoclinic Orbits
, 2009 Dynamical systems occur in many areas of science, especially fluid dynamics. One is often interested in examining the structural changes in dynamical systems, and these are often related to the appearance or disappearance of solution trajectories connecting one or more stationary points.
Girdlestone, Stephen +1 more
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On the homoclinic orbits of the generalized Liénard equations
Applied Mathematics Letters, 2007 AbstractIn this work we study the existence of homoclinic orbits of the planar system of Liénard type ẋ=1a(x)[h(y)−F(x)],ẏ=−a(x)g(x), where a(x)>0, for every x∈R, and h is strictly increasing, but it is not assumed that h(±∞)=±∞, h(y)≤my, or h(y)≥my. We present sufficient and necessary conditions for this system to have a positive orbit which starts ...
Asadollah Aghajani, Amir Moradifam
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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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Homoclinic orbits for a class of symmetric Hamiltonian systems
Electronic Journal of Differential Equations, 1994 of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
doaj
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
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