Results 121 to 130 of about 5,968 (173)

Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity

Boundary Value Problems
By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions ...
Xin Ou, Xingyong Zhang
doaj   +1 more source

Pattern competition and homoclinic crossing

, 1998
We study the mechanism of pattern competition in a system described by the generalized nonlinear Schrödinger (GNS) equation with periodic boundary conditions.
Yu Tan, Jian-min Mao, Tan, Yu, Mao, Jian-min   +3 more
core   +1 more source

Role of turbulent separatrix tangle in the improvement of the integrated pedestal and heat exhaust issue for stationary-operation tokamak fusion reactors

Nuclear Fusion
The magnetic separatrix surface is designed to provide the final and critical confinement to the hot stationary-operation core plasma in modern tokamak reactors in the absence of an external magnetic perturbation (MP) or transient magneto-hydrodynamic ...
C.S. Chang, S. Ku, R. Hager, J. Choi, D. Pugmire, S. Klasky, A. Loarte, R.A Pitts   +7 more
doaj   +1 more source

Nichtreversible Homoclinic Snaking Szenarios

, 2015
Homoclinic Snaking ist ein spezielles Phänomen bei der Fortsetzungs homokliner Orbits in der Nähe eines heteroklinen Zykels, welcher eine Gleichgewichtslage und einen periodischen Orbit verbindet.
Vielitz, Martin
core  

Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium

We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center–center–saddle equilibrium having a homoclinic orbit or loop. With the help of a Poincaré map (chosen based on the unperturbed homoclinic loop)
Delshams Valdés, Amadeu, Koltsova, Oksana, Gutiérrez Serrés, Pere, Lerman, L. M. (Lev M.)   +3 more
core  

Numerical Approximation of Homoclinic Chaos

, 1995
Transversal homoclinic orbits of maps are known to generate a Cantor set on which a power of the map conjugates to the Bernoulli shift on two symbols.
W.-J. Beyn, J.-M. Kleinkauf
core  

Random Homoclinic Orbits

, 1995
We introduce random homoclinic points and orbits for random dynamical systems with hyperbolic stationary orbits and investigate their meaning for irregular behaviour in form of a stochastic version of the Birkhoff-Smale Theorem.
Volker Matthias Gundlach
core  

$C^1$-robust homoclinic tangencies [PDF]

The aim of this paper is twofold. First, motivated by the nearly-affine blender system found in [LT24], we introduce standard blenders and their variations, and prove their fundamental properties on the generation of $C^1$-robust tangencies.
Li, Dongchen
core  

Homoclinic Shadowing

Journal of Dynamics and Differential Equations, 2005
The famous Smale-Birkhoff theorem provides a criterion for chaotic behavior of dynamical systems. More precisely, the existence of transversal homoclinic orbits leads to hyperbolic sets containing the shift, a horseshoe and thus chaotic dynamics. In this interesting and well-written paper, the authors present a new and rigorous method to establish the ...
Coomes, B., Kocak, H., Palmer, K.
openaire   +2 more sources

Homoclinic-Doubling Cascades

Archive for Rational Mechanics and Analysis, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Homburg, A.J., Kokubu, H., Naudot, V.
openaire   +5 more sources