Results 81 to 90 of about 8,022 (205)

Imperfect Homoclinic Bifurcations

, 2001
Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations.
A. Arnéodo, D. V. Lyubinov, D. V. Turaev, E. Allaria, J. J. Healey, J. von Stamm, J. W. Swift, J.-M. Gambaudo, J.-M. Gambaudo, J.-M. Gambaudo, Jan Abshagen, M. Golubitsky, M. Golubitsky, M. J. B. Hauser, P. Coullet, P. Glendinning, P. Glendinning, P. Glendinning, Paul Glendinning, R. Herrero, S. M. Cox, T. Mullin, T. Peacock, Tom Mullin   +23 more
core   +1 more source

Homoclinic orbits on compact manifolds

Journal of Mathematical Analysis and Applications, 1991
Let \(M\) be a Riemannian manifold. Consider the differential equation \[ D_ t(x'(t))+\hbox{grad }V(x(t))=0,\leqno(1) \] where \(V\in C^ 2(M,{\mathbb{R}})\), \(x'\) is the derivative of the curve \(x(t)\) on \(M\), and \(D_ t(x')\) is the covariant derivative of \(x'\).
V. Benci, GIANNONI, Fabio
openaire   +3 more sources

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, Yuanyao Wang, Lingcao Tan, Jiarong Huang, Baiping Xu   +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, Gonchenko, Sergey V., Ovsyannikov, Ivan   +2 more
core   +1 more source

Existence and Orbital Stability of Standing‐Wave Solutions of the Nonlinear Logarithmic Schrödinger Equation On a Tadpole Graph

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, Andrés Gerardo Pérez Yépez   +1 more
wiley   +1 more source

Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes

, 2016
We prove that for $C^1$ generic diffeomorphisms, if a homoclinic class $H(P)$ contains two hyperbolic periodic orbits of indices $i$ and $i+k$ respectively and $H(P)$ has no domination of index $j$ for any $j\in\{i+1,\cdots,i+k-1\}$, then there exists a ...
Wang, Xiaodong, Zhang, Jinhua
core  

Invariant manifolds of homoclinic orbits: super-homoclinics and multi-pulse homoclinic loops

, 2020
Consider a Hamiltonian flow on R4 with a hyperbolic equilibrium O and a transverse homoclinic orbit Γ. In this thesis, we study the dynamics near Γ in its energy level when it leaves and enters O along strong unstable and strong stable directions, respectively. In particular, we provide necessary and sufficient conditions for the existence of the local
openaire   +3 more sources

Nonlinear dynamics in a fear‐driven predator–prey system: Bistability, bifurcations, hydra effect, and optimal harvesting

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.
The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao, Sonu Lamba, Prashant K. Srivastava   +2 more
wiley   +1 more source

Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit [PDF]

, 2013
We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this paper we study the dynamics close to it.
Grébert, Benoît, Jézéquel, Tiphaine, Thomann, Laurent   +2 more
core   +2 more sources

Large‐Signal Synchronisation Analysis of Phase‐Locked Loop‐Based Reactive Current Injection Under Weak Grids

IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.
1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv, Kunpeng Shen, Zhiyong Dai, Guangqi Li, Yongheng Yang, Guoqing Wang, Yue Wang, Jinlin Xiong   +7 more
wiley   +1 more source