Results 21 to 30 of about 180,188 (276)
Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study [PDF]
SIAM Journal on Applied Dynamical Systems, 2018 We study a specific homoclinic bifurcation called a homoclinic flip bifurcation of case C, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable.
A. Giraldo, B. Krauskopf, H. Osinga
semanticscholar +1 more source
Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
Mathematical Biosciences and Engineering, 2023 We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities.
Zhenliang Zhu +3 more
doaj +1 more source
Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes on itself in an orientable or nonorientable way, provided the corresponding
A. Giraldo, B. Krauskopf, H. Osinga
semanticscholar +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 +3 more
doaj +1 more source
Homoclinic bifurcations for the Hénon map [PDF]
Physica D: Nonlinear Phenomena, 1999 To appear in PhysicaD: 43 Pages, 14 ...
Sterling, D. +2 more
openaire +2 more sources
Mathematical Biosciences and Engineering, 2023 In this article, we will investigate a retarded van der Pol-Duffing oscillator with multiple delays. At first, we will find conditions for which Bogdanov-Takens (B-T) bifurcation occurs around the trivial equilibrium of the proposed system.
Mohammad Sajid +3 more
doaj +1 more source
Control optimization and homoclinic bifurcation of a prey–predator model with ratio-dependent
Advances in Differential Equations, 2019 In this paper, a predator–prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the homoclinic cycle is obtained by analyzing the
Zhenzhen Shi +3 more
semanticscholar +1 more source
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
Bifurcations of discrete breathers in a diatomic Fermi-Pasta-Ulam chain [PDF]
, 2007 Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. Such solutions are investigated for a diatomic Fermi-Pasta-Ulam chain, i. e., a chain of
Aubry S +15 more
core +8 more sources