Results 11 to 20 of about 85,433 (291)

Dynamics and optical soliton solutions in birefringent fibers for the coupled Kaup–Newell equation via planar dynamical system analysis method

open access: yesResults in Physics, 2023
In this paper, the dynamical behavior and optical soliton of the coupled Kaup–Newell equation are studied. Firstly, the phase portraits of the coupled Kaup–Newell equation are drawn by using Maple software.
Zhao Li
doaj   +3 more sources

Computability in planar dynamical systems [PDF]

open access: yesNatural Computing, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Graça, Daniel, Zhong, Ning
openaire   +3 more sources

Periodic Peakon and Smooth Periodic Solutions for KP-MEW(3,2) Equation

open access: yesAdvances in Mathematical Physics, 2021
In this paper, we consider the KP-MEW(3,2) equation by the bifurcation theory of dynamical systems when integral constant is considered. The corresponding traveling wave system is a singular planar dynamical system with one singular straight line.
Junning Cai, Minzhi Wei, Liping He
doaj   +1 more source

Planar Dynamical Systems with Pure Lebesgue Diffraction Spectrum [PDF]

open access: yesJournal of Statistical Physics, 2010
We examine the diffraction properties of lattice dynamical systems of algebraic origin. It is well-known that diverse dynamical properties occur within this class. These include different orders of mixing (or higher-order correlations), the presence or absence of measure rigidity (restrictions on the set of possible shift-invariant ergodic measures to ...
Baake, M., Ward, T.
openaire   +5 more sources

The Mathematical Model and Deep Learning Features Selection for Whorl Fingerprint Classifications

open access: yesInternational Journal of Computational Intelligence Systems, 2021
In this paper, different classes of the whorl fingerprint are discussed. A general dynamical system with a parameter θ is created using differential equations to simulate these classes by varying the value of θ.
Ibrahim Jawarneh, Nesreen Alsharman
doaj   +1 more source

Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers

open access: yesAdvances in Mathematical Physics, 2023
The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system.
Chao Tang, Zhao Li
doaj   +1 more source

Lattice symmetry breaking perturbations for spiral waves [PDF]

open access: yes, 2014
Spiral waves in two-dimensional excitable media have been observed experimentally and studied extensively. It is now well-known that the symmetry properties of the medium of propagation drives many of the dynamics and bifurcations which are ...
Charette, Laurent, LeBlanc, Victor G.
core   +1 more source

Rich dynamics in planar systems with heterogeneous nonnegative weights

open access: yesCommunications on Pure and Applied Analysis, 2023
66 pages, 9 ...
Lopez-Gomez J.   +2 more
openaire   +2 more sources

Symmetry in Planar Dynamical Systems

open access: yesJournal of Symbolic Computation, 2002
In the study of dynamical systems, conditions for a critical point to be a centre are often sought. The sufficiency of such conditions is probed using various techniques, here, the authors exploit the possible symmetry of a given system. They describe an application of Gröbner bases in the search for a bilinear transformation of the system to one which
Lloyd, N.G, Pearson, J.M
openaire   +1 more source

A New Criterion Beyond Divergence for Determining the Dissipation of a System: Dissipative Power

open access: yesFrontiers in Physics, 2021
Divergence is usually used to determine the dissipation of a dynamical system, but some researchers have noticed that it can lead to elusive contradictions. In this article, a criterion, dissipative power, beyond divergence for judging the dissipation of
Xiaoliang Gan   +6 more
doaj   +1 more source

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