Results 31 to 40 of about 6,100 (243)

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, Saikat Chakraborty, Sayantan Ghosh, Raja Solanki, P.K. Sahoo, Esteban González   +5 more
wiley   +1 more source

Global orbit of a complicated nonlinear system with the global dynamic frequency method

Journal of Low Frequency Noise, Vibration and Active Control, 2021
Global orbits connect the saddle points in an infinite period through the homoclinic and heteroclinic types of manifolds. Different from the periodic movement analysis, it requires special strategies to obtain expression of the orbit and detect the ...
Zhixia Wang, Wei Wang, Fengshou Gu, Andrew D Ball   +3 more
doaj   +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

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

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

Nonlinear stochastic dynamics research on a Lorenz system with white Gaussian noise based on a quasi‐potential approach

International Journal of Mechanical System Dynamics, Volume 3, Issue 1, Page 85-94, March 2023., 2023
Abstract Environmental noise can lead to complex stochastic dynamical behaviors in nonlinear systems. In this paper, a Lorenz system with the parameter region with two stable fixed points and a chaotic saddle subject to white Gaussian noise is investigated as an example.
Yong Huang
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., Li, Dong, Zheng, Zhigang, Zhou, Changsong   +3 more
core   +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, Ke Guiyao, Wang Haijun, Pan Jun, Hu Feiyu, Su Qifang   +5 more
doaj   +1 more source

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
core   +1 more source

The Chaotic Property of BTA Deep‐Hole Machining System under the Effect of Inner Cutting Fluid

Shock and Vibration, Volume 2023, Issue 1, 2023., 2023
To clarify the action mechanism of parameter change on system stability, the chaotic property of BTA deep‐hole machining system under the effect of inner cutting fluid was analyzed. According to the kinematic characteristics of the internal cutting fluid and the equation of the moment of momentum of the system, the kinematic equation of the boring bar ...
Quanbin Zhang, Wu Zhao, Yamin Li, Shuangxi Jing, Francisco Beltran-Carbajal   +4 more
wiley   +1 more source