Results 101 to 110 of about 8,851 (211)

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
doaj  

Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric

, 2009
The secular evolution of the purely general relativistic low angular momentum accretion flow around a spinning black hole is shown to exhibit hysteresis effects.
Abraham, Abramowicz, Abramowicz, Abramowicz, Abramowicz, Abramowicz, Afshordi, Anderson, Armitage, Artemova, B. Czerny, Balbus, Barai, Beloborodov, Beskin, Bhattacharjee, Bhattacharjee, Bisikalo, Bondi, Boyer, Bray, Bussemaker, Caditz, Campbell, Chakrabarti, Chakrabarti, Chakrabarti, Chattopadhyay, Chaudhury, Chen, Chicone, Czerny, Das, Das, Das, Das, Das, Das, Das, Frank, Fukue, Fukue, Fukue, Fukue, Fukumura, Goswami, Hawley, Ho, Igumenshchev, Igumenshchev, Illarionov, Illarionov, Janiuk, Jordan, Kafatos, Kaplan, Karkowski, Karkowski, Kato, Kato, Konigl, Landau, Liang, Liang, Lu, Lu, Lu, Lu, MacFadyen, Manmoto, Matsumoto, Moscibrodzka, Muchotrzeb, Muchotrzeb, Muchotrzeb-Czerny, Mukhopadhyay, Nagakura, Nagakura, Nakayama, Nakayama, Narayan, Novikov, Okuda, Okuda, Paczyński, Paczyński, Pariev, Parker, Peitz, Pringle, Proga, Ray, Ray, Ray, Ray, Ray, Ray, Ryu, Sakurai, Shakura, Sponholz, Spruit, Takahashi, Tapas K. Das, Tóth, Wiita, Yang   +106 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
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Food Quality in Producer-Grazer Models: A Generalized Analysis

, 2010
Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should not be ...
Feudel, Ulrike, Gross, Thilo, Kooi, Bob W., Stiefs, Dirk, van Voorn, George A. K.   +4 more
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On Shilnikov's scenario in 3D: Topological chaos for vectorfields of class $C^1$

Electronic Journal of Qualitative Theory of Differential Equations
Shilnikov's scenario in $\mathbb{R}^3$ means that the equation $x'=V(x)\in\mathbb{R}^3$ with $V(0)=0$ has a homoclinic solution and the eigenvalues of $DV(0)$ are $u>0$ and $\sigma\pm i\mu$ with ...
Hans-Otto Walther
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A metaphor for adiabatic evolution to symmetry [PDF]

, 1995
In this paper we study a Hamiltonian system with a spatially asymmetric potential. We are interested in the effects on the dynamics when the potential becomes symmetric slowly in time. We focus on a highly simplified non-trivial model problem (a metaphor)
Huveneers, R. J. A. G., Verhulst, F.
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Multiple homoclinic solutions for singular differential equations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2010
The homoclinic bifurcations of ordinary differential equation under singular perturbations are considered. We use exponential dichotomy, Fredholm alternative and scales of Banach spaces to obtain various bifurcation manifolds with finite codimension in an appropriate infinite-dimensional space. When the perturbative term is taken from these bifurcation
Zhu, Changrong, Luo, Guangping, Lan, Kunquan   +2 more
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Existence and multiplicity of homoclinic solutions for difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi_{2})$ -Laplacian and a parameter

Advances in Difference Equations, 2017
In this paper, we investigate the existence and multiplicity of homoclinic solutions for a class of nonlinear difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi _{2})$ -Laplacian and a parameter: { Δ ( ρ 1 ( n − 1 ) ϕ 1 ( Δ u 1 ( n − 1 )
Xingyong Zhang, Chi Zong, Haiyun Deng, Liben Wang   +3 more
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Homoclinic solutions for second-order Hamiltonian systems with periodic potential

Boundary Value Problems, 2018
In this paper, we study the second-order Hamiltonian systems u¨−L(t)u+∇W(t,u)=0,t∈R, $$ \ddot{u}-L(t)u+\nabla W(t,u)=0,\quad t\in \mathbb{R}, $$ where L∈C(R,RN×N) $L\in C(\mathbb{R},\mathbb{R}^{N\times N})$ is a T-periodic and positive definite matrix ...
Yiwei Ye
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HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

Journal of Applied Analysis & Computation, 2019
Summary: Homoclinic solutions arise in various discrete models with variational structure, from discrete nonlinear Schrödinger equations to discrete Hamiltonian systems. In recent years, a lot of interesting results on the homoclinic solutions of difference equations have been obtained.
Erbe, Lynn, Jia, Baoguo, Zhang, Qinqin
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