Results 31 to 40 of about 564,884 (264)
Applied Sciences, 2023 The equilibrium state of a dynamical system can be divided into the equilibrium point and limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of dynamical systems are presented through different and all possible ...
Bin Wei
doaj +1 more source
Limit Cycles and Integrability of a Class of Quintic System
Mathematics, 2022 In this paper, a class of quintic systems is investigated. The first 13 focal values are computed with the aid of MATHEMATICA. Then the necessary conditions of integrability and linearizability are obtained and the sufficiency of every condition is ...
Yanli Tang, Dongmei Zhang, Feng Li
doaj +1 more source
Universal tetramer limit cycle at the unitarity limit
Physical Review A, 2023 We demonstrate that a four-boson limit-cycle independent of the Efimov one appears in Hamiltonian systems at the unitary limit. The model interaction contains two-, three- and four-body short-range potentials, which disentangle the interwoven three- and four-boson cycles, for the universal trimer and tetramer energy levels, respectively.
Tobias Frederico, Mario Gattobigio
openaire +2 more sources
Canard Limit Cycle of the Holling-Tanner Model
Discrete Dynamics in Nature and Society, 2014 By using the singular perturbation theory on canard cycles, we investigate the canard phenomenon for the Holling-Tanner model with the intrinsic growth rate of the predator small enough.
Chongwu Zheng +2 more
doaj +1 more source
Synchronization of Coupled Limit Cycles [PDF]
Journal of Nonlinear Science, 2011 Journal of Nonlinear Science ...
openaire +2 more sources
Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators
Discrete Dynamics in Nature and Society, 2012 In order to simulate gene regulatory oscillators more effectively, Runge-Kutta (RK) integrators are adapted to the limit-cycle structure of the system.
Xiong You
doaj +1 more source
A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach
Computer Sciences & Mathematics Forum, 2023 The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced.
Yaya Youssouf Yaya
doaj +1 more source
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order 2
上海师范大学学报. 自然科学版, 2018 Determining the number of limit cycles of a planar differential system is related to the second part of Hilbert's 16th problem. In this paper, a near-Hamiltonian system is studied, where the unperturbed system has a double homoclinic loop with second ...
Tian Huanhuan
doaj +1 more source
Analytical estimations of limit cycle amplitude for delay-differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The amplitude of limit cycles arising from Hopf bifurcation is estimated for nonlinear delay-differential equations by means of analytical formulas. An improved analytical estimation is introduced, which allows more accurate quantitative prediction of ...
Tamás Molnár +2 more
doaj +1 more source
A family of planar differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than $n+1$, by presenting polynomial curves of degree $n,$ which generally contain closed components.
Maroua Ghelmi, Aziza Berbache
doaj +1 more source