Results 11 to 20 of about 18,615 (139)
Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems [PDF]
Abstract and Applied Analysis, 2012 We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain ...
Maoan Han, Valery G. Romanovski
doaj +5 more sources
Comparison of averages of flows and maps [PDF]
, 2001 It is shown that in transient chaos there is no direct relation between averages in a continuos time dynamical system (flow) and averages using the analogous discrete system defined by the corresponding Poincare map.
A. Németh +20 more
core +2 more sources
Symmetry Reduction by Lifting for Maps [PDF]
, 2011 We study diffeomorphisms that have one-parameter families of continuous symmetries. For general maps, in contrast to the symplectic case, existence of a symmetry no longer implies existence of an invariant.
Abraham R +17 more
core +1 more source
Resonant Homoclinic Flips Bifurcation in Principal Eigendirections
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
doaj +1 more source
European Physical Journal C: Particles and Fields, 2018 We analyze the semi-classical and quantum behavior of the Bianchi IX Universe in the Polymer Quantum Mechanics framework, applied to the isotropic Misner variable, linked to the space volume of the model.
C. Crinò, G. Montani, G. Pintaudi
doaj +1 more source
Stable manifolds and homoclinic points near resonances in the restricted three-body problem [PDF]
, 2005 The restricted three-body problem describes the motion of a massless particle under the influence of two primaries of masses $1-\mu$ and $\mu$ that circle each other with period equal to $2\pi$. For small $\mu$, a resonant periodic motion of the massless
A. Lemaître +13 more
core +1 more source
Solar storms, cycles and topology
EPJ Web of Conferences, 2010 Solar storms are produced due to plasma processes inside and between coronal loops. These loops are topologically examined using knot and braid theory.
Lundstedt H.
doaj +1 more source
Return words of linear involutions and fundamental groups [PDF]
, 2015 We investigate the natural codings of linear involutions. We deduce from the geometric representation of linear involutions as Poincar\'e maps of measured foliations a suitable definition of return words which yields that the set of first return words to
Berthé, Valérie +5 more
core +3 more sources
Targeted mixing in an array of alternating vortices [PDF]
, 2007 Transport and mixing properties of passive particles advected by an array of vortices are investigated. Starting from the integrable case, it is shown that a special class of perturbations allows one to preserve separatrices which act as effective ...
A. Crisanti +12 more
core +3 more sources
Chaos at the border of criticality
, 2008 The present paper points out to a novel scenario for formation of chaotic attractors in a class of models of excitable cell membranes near an Andronov-Hopf bifurcation (AHB).
Brøns M. +4 more
core +2 more sources