Results 21 to 30 of about 328 (171)
Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation
Abstract and Applied Analysis, 2014 The bifurcation of a nongeneric homoclinic orbit (i.e., the orbit comes from the equilibrium along the unstable manifold instead of the center manifold) connecting a nonhyperbolic equilibrium is investigated, and the nonhyperbolic equilibrium undergoes ...
Fengjie Geng, Song Li
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Dynamical behaviour of a compound elastic pendulum
MATEC Web of Conferences, 2018 The aim of the paper is a comprehensive study of the compound elastic pendulum (CEP) with two degrees of freedom to point out the main complex (chaotic) dynamics that it can exhibit.
Nikolov Svetoslav, Zaharieva Daniela
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Brodogradnja, 2021 The trimaran vessel rolls strongly at low forward speed and may capsize in high sea conditions due to chaos and loss of stability, which is not usually considered in conventional limit-based criteria.
Yihan Zhang +3 more
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Complex dynamics of a sub-quadratic Lorenz-like system
Open Physics, 2023 Motivated by the generic dynamical property of most quadratic Lorenz-type systems that the unstable manifolds of the origin tending to the stable manifold of nontrivial symmetrical equilibria forms a pair of heteroclinic orbits, this technical note ...
Li Zhenpeng +5 more
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Dissipation-Induced Heteroclinic Orbits in Tippe Tops [PDF]
SIAM Review, 2008 This paper demonstrates that the conditions for the existence of a dissipation-induced heteroclinic orbit between the inverted and noninverted states of a tippe top are determined by a complex version of the equations for a simple harmonic oscillator: the modified Maxwell-Bloch equations.
Nawaf Bou-Rabee +2 more
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Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation
Abstract and Applied Analysis, 2013 We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation does not exist. The Saddle-node heteroclinic orbit has been obtained.
Da-Quan Xian
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Bifurcation of heteroclinic orbits for diffeomorphisms [PDF]
Applications of Mathematics, 1991 Using the Lyapunov-Schmidt method in bifurcation theory [\textit{S. N. Chow} and \textit{J. K. Hale}, Methods of Bifurcation Theory (1982; Zbl 0487.47039)], the author investigates bifurcations of heteroclinic orbits of diffeomorphisms \(\Phi: \mathbb{R}^ 2\to \mathbb{R}^ 2\), \(\Phi(x,y)=(f(x),g(x,y))\), where \(g(x,0)\equiv0\), \(x\in(-1/2,3/2 ...
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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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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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Sensors, 2007 The influence of damping on the dynamical behavior of the electrostaticparallel-plate and torsional actuators with the van der Waals (vdW) or Casimir force(torque) is presented. The values of the pull-in parameters and the number of theequilibrium points
Ya-Pu Zhao, Wen-Hui Lin
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