Results 21 to 30 of about 633,095 (156)
Heteroclinic connections for nonlocal equations [PDF]
Mathematical Models and Methods in Applied Sciences, 2019 We construct heteroclinic orbits for a strongly nonlocal integro-differential equation. Since the energy associated to the equation is infinite in such strongly nonlocal regime, the proof, based on variational methods, relies on a renormalized energy functional, exploits a perturbation method of viscosity type, combined with an auxiliary penalization ...
Dipierro, Serena +2 more
openaire +2 more sources
Mathematics, 2021 The aim of this work is to characterize Traveling Waves (TW) solutions for a coupled system with KPP-Fisher nonlinearity and weak advection. The heterogeneous diffusion introduces certain instabilities in the TW heteroclinic connections that are explored.
José Luis Díaz Palencia
doaj +1 more source
An example for nonexistence of minimal foliations
Advances in Difference Equations, 2021 For the high-dimensional Frenkel–Kontorova model on lattices, we have concluded that there are heteroclinic connections between neighboring Birkhoff minimizers which are more periodic.
Xue-Qing Miao
doaj +1 more source
Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]
Royal Society Open Science, 2018 Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés +2 more
doaj +1 more source
Connected simple systems, transition matrices, and heteroclinic bifurcations [PDF]
Transactions of the American Mathematical Society, 1992 Given invariant sets A A , B
McCord, Christopher +1 more
openaire +2 more sources
Effect of Axial and Radial Flow on the Hydrodynamics in a Taylor Reactor
Fluids, 2022 This paper investigates the impact of combined axial through flow and radial mass flux on Taylor–Couette flow in a counter-rotating configuration, in which different branches of nontrivial solutions appear via Hopf bifurcations.
Sebastian A. Altmeyer
doaj +1 more source
Heteroclinic connections in plane Couette flow [PDF]
Journal of Fluid Mechanics, 2009 Plane Couette flow transitions to turbulence at Re ≈ 325 even though the laminar solution with a linear profile is linearly stable for all Re (Reynolds number). One starting point for understanding this subcritical transition is the existence of invariant sets in the state space of the Navier–Stokes equation, such as upper and lower branch equilibria ...
Halcrow, J. +3 more
openaire +3 more sources
A complex network perspective on brain disease. [PDF]
Biol Rev Camb Philos SocABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
Papo D, Buldú JM.
europepmc +2 more sources
The Hunt Opinion Model-An Agent Based Approach to Recurring Fashion Cycles. [PDF]
PLoS ONE, 2016 We study a simple agent-based model of the recurring fashion cycles in the society that consists of two interacting communities: "snobs" and "followers" (or "opinion hunters", hence the name of the model).
Rafał Apriasz +3 more
doaj +1 more source
Reconfiguring smart structures using phase space connections [PDF]
, 2008 Structures are traditionally designed to be stable. However, unstable configurations (such as buckling) can in principle be controlled in smart structures using embedded sensors and actuators.
Waters, T.J., McInnes, C.R.
core +2 more sources