Results 101 to 110 of about 27,933 (207)

Higher order Melnikov function for a quartic hamiltonian with cuspidal loop

Discrete & Continuous Dynamical Systems - A, 2002
The authors consider the polynomial perturbations \[ X_{\varepsilon}=X_H+ \varepsilon f(x,y,\varepsilon)\frac{\partial}{\partial x}+ \varepsilon g(x,y,\varepsilon)\frac{\partial}{\partial y}, \] where \(f(x,y,\varepsilon)\) and \(g(x,y,\varepsilon)\) are polynomials in \(x,y\) with coefficients depending analytically on the small parameter ...
Zhao, Yulin, Zhu, Siming
openaire   +1 more source

Bifurcation characteristics and safe basin of MSMA microgripper subjected to stochastic excitation

AIP Advances, 2015
A kind of magnetic shape memory alloy (MSMA) microgripper is proposed in this paper, and its nonlinear dynamic characteristics are studied when the stochastic perturbation is considered.
Z. W. Zhu, X. M. Li, J. Xu
doaj   +1 more source

Bifurcation and chaos for piecewise nonlinear roll system of rolling mill

Advances in Mechanical Engineering, 2017
A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed.
Chundi Si, Ruilan Tian, Jingjing Feng, Xinwei Yang   +3 more
doaj   +1 more source

The billiard inside an ellipse deformed by the curvature flow

, 2015
The billiard dynamics inside an ellipse is integrable. It has zero topological entropy, four separatrices in the phase space, and a continuous family of convex caustics: the confocal ellipses.
Carneiro, Mario J. Dias, Damasceno, Josue, Ramirez-Ros, Rafael   +2 more
core  

Melnikov functions and heteroclinic orbits in delay differential equations

Journal of Mathematical Analysis and Applications, 1990
The author gives sufficient conditions for the existence of bounded solutions for the perturbed delay differential equation \(\dot z(t)=g(z_ t)+h(t,z_ t,\epsilon)\) where \(h(t,\phi,0)=0\), \(\epsilon >0\), \(z_ t(\theta)=z(t+\theta)\), \(\theta\in [-r;0]\) with \(r>0\).
openaire   +2 more sources

Investigation on nonlinear rolling dynamics of amphibious vehicle under wind and wave load

Journal of Measurement Science and Instrumentation, 2015
Nonlinear amphibious vehicle rolling under regular waves and wind load is analyzed by a single degree of freedom system.Considering nonlinear damping and restoring moments,a nonlinear rolling dynamical equation of amphibious vehicle is established.The ...
MA Xin-mou, CHANG Lie-zhen
doaj  

The Bocharova–Bronnikov–Melnikov–Bekenstein black hole’s exact quasibound states and Hawking radiation

European Physical Journal C: Particles and Fields
In this letter, we investigate behaviour of massive and massless scalar field that is represented by the covariant Klein–Gordon equation with Bocharova–Bronnikov–Melnikov–Bekenstein (BBMB) black hole background.
David Senjaya
doaj   +1 more source

A Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations

Mathematics
The so-call SQUIDs (abbreviated from superconducting quantum interference device) are very sensitive apparatuses especially built for metering very low magnetic fields.
Nikolay Kyurkchiev, Tsvetelin Zaevski, Anton Iliev, Todor Branzov   +3 more
doaj   +1 more source

A Note on Chaos of a Modified Piecewise Linear Discontinuous System with Multiple-Well Potentials: Melnikov Approach with Simulations

Axioms
The topic of chaotic thresholds for piecewise linear discontinuous (PWLD) systems with multiple-well potentials is a persistent topic in the research of a number of authors.
Tsvetelin Zaevski, Nikolay Kyurkchiev, Anton Iliev   +2 more
doaj   +1 more source

Hybrid Islanding Detection of an Inverter-Based High-Noise Microgrid

IEEE Access
Unintentional islanding occurs when a microgrid continues operating independently after disconnection from the main grid, which can lead to voltage and frequency instability, power quality degradation, and safety risks.
Hossein Amini, Ali Mehrizi-Sani, Reza Noroozian   +2 more
doaj   +1 more source