Results 1 to 10 of about 1,998,336 (171)
Complexity, 2020 The phytoplankton-fish model for catching fish with impulsive feedback control is established in this paper. Firstly, the Poincaré map for the phytoplankton-fish model is defined, and the properties of monotonicity, continuity, differentiability, and ...
Dezhao Li, Yu Liu, Huidong Cheng
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A Scalar Poincaré Map for Anti-phase Bursting in Coupled Inhibitory Neurons With Synaptic Depression [PDF]
Frontiers in Applied Mathematics and Statistics, 2022 Short-term synaptic plasticity is found in many areas of the central nervous system. In the inhibitory half-center central pattern generators involved in locomotion, synaptic depression is believed to act as a burst termination mechanism, allowing ...
Mark Olenik, Conor Houghton
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Dynamic analysis of wild and sterile mosquito release model with Poincaré map
Mathematical Biosciences and Engineering, 2019 In recent years, the application of impulsive semi-dynamic system in state-dependent feed-back control has attracted extensive attention, but most models only discuss their special cases without delving into their complex dynamics.
Yufei Wang, Huidong Cheng, Qingjian Li
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Discretization of Poincaré map
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We analytically study the relationship between the Poincaré map and its one step discretization. Error estimates are established depending basically on the right hand side function of the investigated ODE and the given numerical scheme. Our basic tool is
Michal Fečkan, S. Kelemen
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Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation [PDF]
Journal of Mahani Mathematical Research, 2023 We consider a planar symmetric vector field that undergoes a homoclinic bifurcation. In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits, we investigate the existence of fixed ...
Liela Soleimani, Omid RabieiMotlagh
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The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor
Advances in Nonlinear Analysis, 2023 We consider analytic families of planar vector fields depending analytically on the parameters in Λ \Lambda that guarantee the existence of a (may be degenerate and with characteristic directions) monodromic singularity.
I. A. García, J. Giné
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Global Dynamics of a Predator–Prey Model with Fear Effect and Impulsive State Feedback Control
Mathematics, 2022 In this paper, a predator–prey model with fear effect and impulsive state control is proposed and analyzed. By constructing an appropriate Poincaré map, the dynamic properties of the system, including the existence, nonexistence, and stability of ...
Yangyang Su, Tongqian Zhang
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Poincaré Map for Discontinuous Fractional Differential Equations
Mathematics, 2022 We work with a perturbed fractional differential equation with discontinuous right-hand sides where a discontinuity function crosses a discontinuity boundary transversally.
Ivana Eliašová, Michal Fečkan
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Extraction and Visualization of Poincare Map Topology for Spacecraft Trajectory Design [PDF]
IEEE Transactions on Visualization and Computer Graphics, 2020 Mission designers must study many dynamical models to plan a low-cost spacecraft trajectory that satisfies mission constraints. They routinely use Poincare maps to search for a suitable path through the interconnected web of periodic orbits and invariant
X. Tricoche, W. Schlei, K. Howell
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Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance
Mathematics, 2021 This paper investigates quasi-periodic oscillations of roll system in corrugated rolling mill in resonance. The two-degree of freedom vertical nonlinear mathematical model of roller system is established by considering the nonlinear damping and nonlinear
Dongping He +3 more
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