Results 201 to 210 of about 7,811,799 (238)

Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: Chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency

Physica A: Statistical Mechanics and its Applications, 2018
Using a perturbation method, we solve asymptotically the nonlinear partial differential equations that govern double-diffusive convection (with heat and solute diffusing) in a two-dimensional rectangular domain near a critical point in parameter space ...
Justin Eilertsen, Jerry F. Magnan
semanticscholar   +1 more source

The Homoclinic Orbit Solution for Functional Equation

Communications in Theoretical Physics, 2002
In this paper, some examples, such as iterated functional systems, scaling equation of wavelet transform, and invariant measure system, are used to show that the homoclinic orbit solutions exist in the functional equations too. And the solitary wave exists in generalized dynamical systems and functional systems.
Liu Shi-Da, Fu Zun-Tao, Liu Shi-Kuo, Ren Kui   +3 more
openaire   +1 more source

Homoclinic and heteroclinic solutions of upheaval buckling

Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997
Summary: Upheaval of a heavy flexible strut from a rigid bed is viewed as an initial value problem, and spatial kinetic and potential energy functions are consequently defined. Upheaval from a perfectly flat state is characterized by the simultaneous vanishing of both functions at the boundaries.
Hunt, G. W., Blackmore, A.
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Homoclinic Solutions for a Forced Liénard Type System

Results in Mathematics, 2009
The author investigates the existence of homoclinic solutions of the forced Liénard type system \[ \ddot{x}+F(\dot{x})+ g(x)=p(t), \] where \(F\) and \(g\) are continuous functions on \(\mathbb{R}\) and \(p\) is a bounded continuous function on \(\mathbb{R}\).
openaire   +2 more sources

Homoclinic Solutions in Bazykin’s Predator-Prey Model

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2020
In this paper we derive an explicit second-order approximation of the homoclinic solutions in the Bazykin’s predator-prey model. The analytic solutions are compared with those obtained by numerical continuation.
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Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems

Journal of Optimization Theory and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nyamoradi, Nemat, Zhou, Yong, Ahmad, Bashir, Alsaedi, Ahmed   +3 more
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Homoclinic solutions for nonlinear general fourth‐order differential equations

Mathematical Methods in the Applied Sciences, 2017
This work provides sufficient conditions for the existence of homoclinic solutions of fourth‐order nonlinear ordinary differential equations. Using Green's functions, we formulate a new modified integral equation that is equivalent to the original nonlinear equation.
Hugo Carrasco, Feliz Minhós
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Homoclinic solutions of discrete nonlinear Schrödinger equations with unbounded potentials

Applied Mathematics Letters, 2022
Ben-Xing Zhou, Chungen Liu
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Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function

Differential and Integral Equations, 2014
We study a p-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition.
A. Iannizzotto, Vicentiu D. Rădulescu
semanticscholar   +1 more source

Perturbed Schrödinger lattice systems with superlinear terms: Multiplicity of homoclinic solutions

Calculus of Variations and Partial Differential Equations, 2021
Guanwei Chen, Shiwang Ma
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