Results 41 to 50 of about 5,334 (147)

NONLINEAR ROLLING STABILITY AND CHAOS RESEARCH OF TRIMARAN VESSEL WITH VARIABLE LAY-OUTS IN REGULAR AND IRREGULAR WAVES UNDER WIND LOAD

open access: yesBrodogradnja, 2021
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

open access: yesOpen Physics, 2023
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

open access: yesAbstract and Applied Analysis, 2013
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]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 1995
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

open access: yes, 2002
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

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13505-13516, 30 September 2025.
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)

open access: yes, 2003
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]

open access: yes, 2016
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

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
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

Influence of Damping on the Dynamical Behavior of the Electrostatic Parallel-plate and Torsional Actuators with Intermolecular Forces

open access: yesSensors, 2007
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

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