Results 191 to 200 of about 145,268 (214)

Bifurcation analysis of the multiple flips homoclinic orbit

Chinese Annals of Mathematics, Series B, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Tiansi, Zhu, Deming
openaire   +1 more source

Degenerate bifurcations of heterodimensional cycle with orbit flip and inclination flip

SCIENTIA SINICA Mathematica, 2013
We study the heterodimensional cycle with orbit flip and inclination flip in four-dimensional system. By setting up a new local coordinate system in small tubular neighborhood of unperturbed heterodimensional cycle, we construct a Poincare return map and further obtain the bifurcation equations.
openaire   +1 more source

Heterodimensional cycle bifurcation with two orbit flips

Nonlinear Dynamics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Xingbo, Xu, Yancong, Wang, Sisi
openaire   +1 more source

An equivariant, inclination-flip, heteroclinic bifurcation

Nonlinearity, 1996
Summary: We examine a heteroclinic bifurcation occurring in families of equivariant vector fields. Within these families, the flows contain structurally stable heteroclinic cycles. The flow can twist around the cycle to produce what is the equivalent of an `inclination-flip' homoclinic orbit.
openaire   +1 more source

Oscillation quenching and phase-flip bifurcation in coupled thermoacoustic systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019
Oscillatory instabilities, although ubiquitous in nature, are undesirable in many situations such as biological systems, swaying of bridges and skyscrapers, aero-acoustic flutter, prey-predator and disease spread models, and thermoacoustic systems, where they exhibit large amplitude periodic oscillations.
Suraj Dange, Krishna Manoj, Subham Banerjee, Samadhan A. Pawar, Sirshendu Mondal, R. I. Sujith   +5 more
openaire   +2 more sources

Bifurcation of rough heteroclinic loop with orbit and inclination flips

Nonlinear Analysis: Real World Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deming Zhu, Qiuying Lu
exaly   +2 more sources

Simple diffusion can support the pitchfork, the flip bifurcations, and the chaos

Communications in Nonlinear Science and Numerical Simulation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lili Meng, Xinfu Li, Guang Zhang
openaire   +1 more source

Pitchfork bifurcation and flip-flop operation with a coupled nonlinear system

Applied Optics, 1994
A ring cavity system consisting of two hybrid Michelson interferometers coupled together with feedback is constructed. This system shows spatial bifurcation and can be utilized as an all-optical flip-flop device. We demonstrate experimentally a flip-flop operation by use of only a positive pulse in this system.
Y H, Yu, J M, Park, T K, Lim
openaire   +2 more sources

PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP

International Journal of Bifurcation and Chaos, 2005
In this work a one-dimensional piecewise-smooth dynamical system, representing a Poincaré return map for dynamical systems of the Lorenz type, is investigated. The system shows a bifurcation scenario similar to the classical period-doubling one, but which is influenced by so-called border collision phenomena and denoted as border collision period ...
Viktor Avrutin, Michael Schanz
openaire   +2 more sources

Codimension 2 reversible heteroclinic bifurcations with inclination flips

Science in China Series A: Mathematics, 2009
The authors consider a four-dimensional system \(\dot{z}=g(z,\mu)\) where \(g\in \mathbb{C}^r\) with \(r\geq 5\) and \(\mu\in {\mathbb R}^l\), \(l>3\) is a small parameter. It is assumed that the system has two fixed points \(p_1(\mu)\) and \(p_2(\mu)\) having in local coordinates the linearizations \[ \dot{x}=\lambda_1^i(\mu)x,\;\; \dot{y}=-\lambda_1 ...
Xu, YanCong, Zhu, DeMing, Deng, GuiFeng
openaire   +1 more source