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
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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
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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
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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
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Application of the Limit Cycle Model to Star Formation Histories in Spiral Galaxies: Variation among Morphological Types [PDF]
, 2000 We propose a limit-cycle scenario of star formation history for any morphological type of spiral galaxies. It is known observationally that the early-type spiral sample has a wider range of the present star formation rate (SFR) than the late-type sample.
Cappellaro E. +11 more
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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
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Phase reduction of stochastic limit cycle oscillators
, 2007 We point out that the phase reduction of stochastic limit cycle oscillators has been done incorrectly in the literature. We present a correct phase reduction method for oscillators driven by weak external white Gaussian noises.
A. S. Pikovsky +5 more
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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
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Generation of and Switching among Limit-Cycle Bipedal Walking Gaits
, 2017 In this paper we provide a method to generate a continuum of limit cycles using a single precomputed exponentially stable limit cycle designed within the Hybrid Zero Dynamics framework.
Motahar, Mohamad Shafiee +2 more
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Bifurcation of Limit Cycles and Center in 3D Cubic Systems with Z3-Equivariant Symmetry
Mathematics, 2023 This paper focuses on investigating the bifurcation of limit cycles and centers within a specific class of three-dimensional cubic systems possessing Z3-equivariant symmetry.
Ting Huang +3 more
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