Results 11 to 20 of about 5,108 (187)
Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation
Journal of Applied Mathematics, 2023 The dynamical behaviour of traveling waves in a class of two-dimensional system whose amplitude obeys the two-dimensional complex cubic-quintic Ginzburg-Landau equation is deeply studied as a function of parameters near a subcritical bifurcation.
F. Waffo Tchuimmo +5 more
doaj +2 more sources
Energy Science &Engineering, Volume 11, Issue 12, Page 4666-4686, December 2023., 2023 Aiming at the issue of torsional vibration characteristics analysis of wind turbine drivetrain, a mathematical model is established by considering electromechanical coupling effect. And a generalized Hamiltonian function can be used for Homoclinic or Heteroclinic bifurcation analysis.
Jianxiang Yang +5 more
wiley +1 more source
Nine Limit Cycles in a 5-Degree Polynomials Liénard System
Complexity, 2020 In this article, we study the limit cycles in a generalized 5-degree Liénard system. The undamped system has a polycycle composed of a homoclinic loop and a heteroclinic loop.
Junning Cai, Minzhi Wei, Hongying Zhu
doaj +1 more source
Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials
Fortschritte der Physik, Volume 71, Issue 10-11, November 2023., 2023 Abstract In this paper, a non‐interacting scalar field cosmology with an arbitrary potential using the f‐deviser method that relies on the differentiability properties of the potential is investigated. Using this alternative mathematical approach, a unified dynamical system analysis at a scalar field's background and perturbation levels with arbitrary ...
Genly Leon +5 more
wiley +1 more source
Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles [PDF]
, 2012 We investigate two coupled oscillators, each of which shows an attracting heteroclinic cycle in the absence of coupling. The two heteroclinic cycles are nonidentical. Weak coupling can lead to the elimination of the slowing-down state that asymptotically
Cross, M. C. +3 more
core +1 more source
Building modern coexistence theory from the ground up: The role of community assembly
Ecology Letters, Volume 26, Issue 11, Page 1840-1861, November 2023., 2023 Modern coexistence theory (MCT) is limited by its dependence on the naive invasion growth rate criterion. We extend the applicability of MCT by using permanence theory. We use this newly developed method to gain new insights into community coexistence and its limits.
Jurg W. Spaak, Sebastian J. Schreiber
wiley +1 more source
Complex dynamics of a sub-quadratic Lorenz-like system
Open 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
Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling [PDF]
, 2001 The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the formation of a ...
A.T. Winfree +18 more
core +3 more sources
Beltrami fields and knotted vortex structures in incompressible fluid flows
Bulletin of the London Mathematical Society, Volume 55, Issue 3, Page 1059-1103, June 2023., 2023 Abstract This paper gives a survey on recent results about the existence of knotted vortex structures in incompressible fluids. This includes the proof of Lord Kelvin's conjecture on the existence of knotted vortex tubes in steady Euler flows and a new probabilistic approach to address Arnold's speculation that typical Beltrami fields should exhibit ...
Alberto Enciso, Daniel Peralta‐Salas
wiley +1 more source
Network Inoculation: Heteroclinics and phase transitions in an epidemic model [PDF]
, 2016 In epidemiological modelling, dynamics on networks, and in particular adaptive and heterogeneous networks have recently received much interest. Here we present a detailed analysis of a previously proposed model that combines heterogeneity in the ...
Anderson R. M. +7 more
core +4 more sources