Results 81 to 90 of about 10,336 (188)
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
wiley +1 more source
Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps
, 2017 We study bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps. We distinguish two types of cubic homoclinic tangencies, and each type gives different first return maps derived to diverse conservative cubic H\'enon maps with ...
Gonchenko, Marina +2 more
core +1 more source
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
Stabilization of heterodimensional cycles
, 2011 We consider diffeomorphisms $f$ with heteroclinic cycles associated to saddles $P$ and $Q$ of different indices. We say that a cycle of this type can be stabilized if there are diffeomorphisms close to $f$ with a robust cycle associated to hyperbolic ...
C Bonatti +14 more
core +1 more source
The creation of homoclinic points of C1-maps
Topology and its Applications, 1993 Let \(M\) be a closed \(C^ \infty\)-manifold, \(f: M \mapsto M\) a \(C^ 1\)- map and \(p \in M\) a hyperbolic fixed point of \(f\). The points of intersection of the stable and the unstable manifolds of \(p\) are called homoclinic points. The points of intersection of the stable manifold and the closure of the unstable manifold and those of the ...
Moriyasu, Kazumine, Oka, Masatoshi
openaire +2 more sources
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
wiley +1 more source
Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region
, 2006 A method of controlling Shil'nikov's type chaos using windows that appear in the 1 dimensional bifurcation diagram when perturbations are applied, and using existence of stable homoclinic orbits near the unstable one is presented and applied to the ...
Furui, Sadataka, Niiya, Shohei
core +1 more source
Existence of a homoclinic point for the H�non map
Communications in Mathematical Physics, 1980 We prove analytically that for the Henon map of the plane into itself (s, t)↦(t+1−1.4a2, 0.3s), there exists a transversal homoclinic point.
Misiurewicz, Michał, Szewc, Bolesław
openaire +2 more sources
Predicting rogue waves in random oceanic sea states [PDF]
, 2004 Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the JONSWAP spectrum with the proximity to homoclinic solutions of the NLS equation.
Islas, Alvaro, Schober, Constance
core +4 more sources
Partial Hyperbolicity and Homoclinic Tangencies [PDF]
, 2011 We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic ...
Crovisier, Sylvain +2 more
core +1 more source