Results 41 to 50 of about 5,108 (187)

Dependence of chaotic behavior on optical properties and electrostatic effects in double beam torsional Casimir actuation [PDF]

open access: yes, 2018
We investigate the influence of Casimir and electrostatic torques on double beam torsional microelectromechanical systems with materials covering a broad range of conductivities of more than three orders of magnitude.
Masoudi, A. A.   +4 more
core   +2 more sources

Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting

open access: yesAbstract and Applied Analysis, 2013
The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
doaj   +1 more source

Dense heteroclinic tangencies near a Bykov cycle [PDF]

open access: yes, 2014
This article presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a Bykov cycle where trajectories turn in opposite directions near the two nodes --- we say that the nodes have different ...
Labouriau, Isabel S.   +1 more
core   +3 more sources

Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation

open access: yesAbstract 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
doaj   +1 more source

Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback

open access: yesShock and Vibration, 2018
The heteroclinic bifurcation and chaos of a Duffing oscillator with forcing excitation under both delayed displacement feedback and delayed velocity feedback are studied by Melnikov method.
Shao-Fang Wen, Ju-Feng Chen, Shu-Qi Guo
doaj   +1 more source

Heteroclinic bifurcation for a general predator-prey model with Allee effect and state feedback impulsive control strategy

open access: yesMathematical Biosciences and Engineering, 2015
In this paper, we analyze a general predator-prey modelwith state feedback impulsive harvesting strategies in which the prey species displays a strongAllee effect.
Qizhen Xiao, Binxiang Dai
doaj   +1 more source

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial

open access: yes, 2012
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A.   +19 more
core   +1 more source

Jump and Pull-in Instability of a MEMS Gyroscope Vibrating System

open access: yesMicromachines, 2023
Jump and pull-in instability are common nonlinear dynamic behaviors leading to the loss of the performance reliability and structural safety of electrostatic micro gyroscopes.
Yijun Zhu, Huilin Shang
doaj   +1 more source

Direct transition to high-dimensional chaos through a global bifurcation [PDF]

open access: yes, 2005
In the present work we report on a genuine route by which a high-dimensional (with d>4) chaotic attractor is created directly, i.e., without a low-dimensional chaotic attractor as an intermediate step.
  +14 more
core   +2 more sources

Heteroclinic cycles emanating from local bifurcations

open access: yesManuscripta Mathematica, 1994
The paper deals with a two-parameter system of ordinary differential equations on \(\mathbb{R}^ n\) \((1) : \dot x = f(x, \lambda, \alpha)\), where \(f\) is \(Z_ 2\)-symmetric, i.e. there exists a linear mapping \(g : \mathbb{R}^ n \to \mathbb{R}^ n\) such that \(g^ 2 = I\), \(g \neq I\) and \(gf(x, \lambda, \alpha) = f(gx, \lambda, \alpha)\) for all \(
Wu, Wei, Zou, Yongkui, Huang, Mingyou
openaire   +2 more sources

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