Results 11 to 20 of about 5,743 (240)
Homoclinic and Heteroclinic Orbits in Climbing Cucumber Tendrils. [PDF]
Sci Rep, 2019 AbstractMany biomaterials utilize chiral growth to imitate biological functions. A prominent example can be found in growing cucumbers, which use tendrils as winding support for both fixation and climbing. A number of tendril-mimicking materials and artificial plant-like mechanical machines have been developed to imitate tendril deformation.
Feng J, Zhang W, Liu C, Guo M, Zhang C.
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Existence of periodic orbits near heteroclinic connections [PDF]
, 2018 36 pages, 4 ...
Fusco, Giorgio +2 more
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Multitudinous potential homoclinic and heteroclinic orbits seized
Electronic Research Archive<abstract><p>Revisiting a newly reported modified Chen system by both the definitions of $ \alpha $-limit and $ \omega $-limit set, Lyapunov function and Hamiltonian function, this paper seized a multitude of pairs of potential heteroclinic orbits to (1) $ E_{0} $ and $ E_{\pm} $, or (2) $ E_{+} $ or (3) $ E_{-} $, and homoclinic and ...
Haijun Wang, Jun Pan, Guiyao Ke
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Persistence of the heteroclinic loop under periodic perturbation
Electronic Research Archive, 2023 We consider an autonomous ordinary differential equation that admits a heteroclinic loop. The unperturbed heteroclinic loop consists of two degenerate heteroclinic orbits $ \gamma_1 $ and $ \gamma_2 $.
Bin Long, Shanshan Xu
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Journal of Mathematics, 2021 This work extends the high-order Melnikov method established by FJ Chen and QD Wang to heteroclinic orbits, and it is used to prove, under a certain class of perturbations, the heteroclinic orbit in a planar vector field that remains unbroken ...
Yi Zhong
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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
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Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators
Fractal and Fractional, 2022 The investigation of global bifurcation behaviors the vibrating structures of micro-electromechanical systems (MEMS) has received substantial attention. This paper considers the vibrating system of a typical bilateral MEMS resonator containing fractional
Yijun Zhu, Huilin Shang
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Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
Advances in Mathematical Physics, 2022 In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated.
Yuanhua Lin, Liping He
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Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion
Nonlinear Analysis, 2022 This paper is concerned with the diffusive Leslie–Gower prey–predator model with weak diffusion. Assuming that the diffusion rates of prey and predator are sufficiently small and the natural growth rate of prey is much greater than that of predators ...
Xiao Wu, Mingkang Ni
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Some examples for stable and historic behavior in replicator equations
Examples and Counterexamples, 2022 The evolutionary dynamics of zero-sum and non zero-sum games under replicator equations could be drastically different from each other. In zero-sum games, heteroclinic cycles naturally occur whenever the species of the population supersede each other in ...
Mansoor Saburov
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