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Darboux polynomials and first integrals of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Pranevich   +2 more
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Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

Nonlinear Analysis: Theory, Methods & Applications, 2009
J. Llibre, Regilene D. S. Oliveira
semanticscholar   +3 more sources

Stability and stabilization of T-S fuzzy systems with variable delays via new Bessel-Legendre polynomial based relaxed integral inequality

Information Sciences, 2020
This paper investigates the delay-range-dependent (DRD) stability problem in regards to continuous time Takagi–Sugeno (T–S) fuzzy system with variable delays. First, a new integral inequality Lemma referred herein as higher order polynomial based relaxed
R. Datta   +4 more
semanticscholar   +1 more source

Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind

International Journal of Computer Mathematics, 2013
I. Turhan, Hüseyin Oguz, E. Yusufoglu
semanticscholar   +3 more sources

First integrals and Darboux polynomials of natural polynomial Hamiltonian systems

Physics Letters A, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García, Isaac A.   +2 more
openaire   +1 more source

Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors

Journal of Physics A: Mathematical and General, 2000
The authors show new first integrals to planar Lotka-Volterra systems that have a polynomial inverse integrating factor. These systems may be characterized by equalities among the coefficients of the system. Moreover, all planar Lotka-Volterra systems which have a polynomial first integral are characterized and an explicit expression of these first ...
Cairó, Laurent, Llibre, Jaume
openaire   +1 more source

Kernelized Few-shot Object Detection with Efficient Integral Aggregation

Computer Vision and Pattern Recognition, 2022
We design a Kernelized Few-shot Object Detector by leveraging kernelized matrices computed over multiple proposal regions, which yield expressive non-linear representations whose model complexity is learned on the fly.
Shan Zhang   +3 more
semanticscholar   +1 more source

Extended-Dissipativity-Based Adaptive Event-Triggered Control for Stochastic Polynomial Fuzzy Singular Systems

IEEE transactions on fuzzy systems, 2022
This article deals with the extended-dissipativity-based adaptive event-triggered (AET) control problem for stochastic polynomial fuzzy singular systems (SPFSSs). The purpose of this work is to design a state-feedback controller through the AET mechanism,
Zhiguang Feng, Yang Yang, H. Lam
semanticscholar   +1 more source

First integrals via polynomial canonical transformations

Journal of Mathematical Physics, 1984
Maharatna, Dutt, and Chattarji [J. Math. Phys. 20, 2221 (1979)] discussed the use of time-dependent canonical transformations for the determination of first integrals for time-dependent Hamiltonian systems. One particular proposal that successive time-dependent polynomial canonical transformations will enable first integrals to be found for a wider ...
openaire   +2 more sources

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