Results 41 to 50 of about 5,334 (147)
The trimaran vessel rolls strongly at low forward speed and may capsize in high sea conditions due to chaos and loss of stability, which is not usually considered in conventional limit-based criteria.
Yihan Zhang +3 more
doaj +1 more source
Complex dynamics of a sub-quadratic Lorenz-like system
Motivated by the generic dynamical property of most quadratic Lorenz-type systems that the unstable manifolds of the origin tending to the stable manifold of nontrivial symmetrical equilibria forms a pair of heteroclinic orbits, this technical note ...
Li Zhenpeng +5 more
doaj +1 more source
Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation
We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation does not exist. The Saddle-node heteroclinic orbit has been obtained.
Da-Quan Xian
doaj +1 more source
Heteroclinic orbits on noncompact Riemannian manifolds [PDF]
In this paper we consider a second order hamiltonian system on non-compact Riemannian manifolds. We prove the existence of one heteroclinic orbit under the assumption that the potential V is periodic in t and has two maximum points independent of t.
A. GERMINARIO
doaj
Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles
A square lattice distribution of coupled oscillators that have heteroclinic cycle attractors is studied. In this system, we find a novel type of patterns that is spatially disordered and periodic in time.
Tachikawa, Masashi
core +2 more sources
The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model
ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
wiley +1 more source
Stability analysis of some integrable Euler equations for SO(n)
A family of special cases of the integrable Euler equations on $so(n)$ introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied.
Fomenko A T +4 more
core +1 more source
Pseudo-heteroclinic connections between bicircular restricted four-body problems [PDF]
In this paper, we show a mechanism to explain transport from the outer to the inner Solar system. Such a mechanism is based on dynamical systems theory. More concretely, we consider a sequence of uncoupled bicircular restricted four-body problems –BR4BP –
Barrabés Vera, Esther +3 more
core +3 more sources
Closed geodesics and the first Betti number
Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
wiley +1 more source
The influence of damping on the dynamical behavior of the electrostaticparallel-plate and torsional actuators with the van der Waals (vdW) or Casimir force(torque) is presented. The values of the pull-in parameters and the number of theequilibrium points
Ya-Pu Zhao, Wen-Hui Lin
doaj +1 more source

