Results 91 to 100 of about 9,595 (205)
Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model
, 2016 We give an analytic (free of computer assistance) proof of the existence of a classical Lorenz attractor for an open set of parameter values of the Lorenz model in the form of Yudovich-Morioka-Shimizu.
Ovsyannikov, I. I., Turaev, D. V.
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Numerical Simulation of Mixing Enhancement in a Single Screw Extruder by Different Internal Baffles
Macromolecular Theory and Simulations, Volume 34, Issue 4, July 2025.Three rows of plate baffles and plow‐shaped baffles are employed to introduce chaos into the flow channel of a single screw extruder. Mixing is numerically characterized in terms of the evolution of tracer particles, Poincaré sections, shear rates, mixing index, distribution probability function of mixing index, and their integral functions.
Huiwen Yu +4 more
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Results in Physics, 2020 The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method.
K. El-Rashidy +3 more
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Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS‐log) on a tadpole graph, namely, a graph consisting of a circle with a half‐line attached at a single vertex. By considering Neumann–Kirchhoff boundary conditions at the junction, we show the existence and the orbital stability of standing ...
Jaime Angulo Pava +1 more
wiley +1 more source
Homoclinic solutions for a class of second order non-autonomous systems
Electronic Journal of Differential Equations, 2009 This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
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Fast homoclinic solutions for damped vibration problems with superquadratic potentials
Boundary Value Problems, 2018 In this paper we investigate the existence and multiplicity of homoclinic solutions for the following damped vibration problem: DS u¨+q(t)u˙−L(t)u+Wu(t,u)=0, $$ \ddot{u}+q(t) \dot{u}-L(t)u+W_{u}(t,u)=0, $$ where q:R→R $q:\mathbb{R}\rightarrow\mathbb{R ...
Xinhe Zhu, Ziheng Zhang
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Fast homoclinic solutions for damped vibration problems under local conditions
Journal of Inequalities and ApplicationsIn this paper, we study the fast homoclinic solutions for the following damped vibration problems u ¨ ( t ) + q ( t ) u ˙ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t \in \
Wen-Kai Li +3 more
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Homoclinic Solutions for a Class of Hamiltonian Systems
Advanced Nonlinear Studies, 2004 Abstract We consider the first order Hamiltonian system q̇ = Hp(p, q), ṗ = −Hq(p, q), (HS) where p, q : ℝ → ℝN (N ≥ 3), H ∈ C1 (ℝN × ℝN \ {e}, ℝ ) and behaves roughly like
openaire +2 more sources
Multi-pulse Orbits and Homoclinic Trees in a Non-autonomous Resonant Hamiltonian System
MATEC Web of Conferences, 2016 In this study, we develop the energy-phase method to deal with the high-dimensional non-autonomous nonlinear dynamical systems. Our generalized energy-phase method applies to integrable, two-degree-of freedom non-autonomous resonant Hamiltonian systems ...
Zhou Sha, Zhang Wei, Yu Tian-jun
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Existence and multiplicity of homoclinic solutions for a difference equation
Electronic Journal of Differential Equations, 2020 The aim of this article is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. Our approach is based on variational methods.
Shapour Heidarkhani +2 more
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