[图书][B] Integrability and nonintegrability of dynamical systems
A Goriely - 2001 - books.google.com
This invaluable book examines qualitative and quantitative methods for nonlinear differential
equations, as well as integrability and nonintegrability theory. Starting from the idea of a …
equations, as well as integrability and nonintegrability theory. Starting from the idea of a …
[SADE] a Maple package for the symmetry analysis of differential equations
TM Rocha Filho, A Figueiredo - Computer Physics Communications, 2011 - Elsevier
We present the package SADE (Symmetry Analysis of Differential Equations) for the
determination of symmetries and related properties of systems of differential equations. The …
determination of symmetries and related properties of systems of differential equations. The …
Boundedness of solutions and Lyapunov functions in quasi-polynomial systems
A Figueiredo, IM Gleria, TM Rocha Filho - Physics Letters A, 2000 - Elsevier
In this Letter we establish sufficient conditions for the existence of a Lyapunov function for a
large class of non-linear systems, the Quasi-Polynomial systems [Figueredo et al., J. Math …
large class of non-linear systems, the Quasi-Polynomial systems [Figueredo et al., J. Math …
Genetic Algebras Associated with ξ(a)-Quadratic Stochastic Operators
F Mukhamedov, I Qaralleh, T Qaisar, MA Hasan - Entropy, 2023 - mdpi.com
The present paper deals with a class of ξ (a)-quadratic stochastic operators, referred to as
QSOs, on a two-dimensional simplex. It investigates the algebraic properties of the genetic …
QSOs, on a two-dimensional simplex. It investigates the algebraic properties of the genetic …
Application of J.-J. Morales and J.-P. Ramis' theorem to test the non-complete integrability of the planar three-body problem
D Boucher, JA Weil - From combinatorics to dynamical systems, 2003 - degruyter.com
We give a proof of the non complete integrability of the planar three-body problem. We use a
criterion of non complete integrability deduced from J.-J. Morales and J.-P. Ramis' theorem …
criterion of non complete integrability deduced from J.-J. Morales and J.-P. Ramis' theorem …
On chaos in Lotka–Volterra systems: an analytical approach
V Kozlov, S Vakulenko - Nonlinearity, 2013 - iopscience.iop.org
In this paper, we study Lotka–Volterra systems with N species and n resources. We show
that the long time dynamics of these systems may be complicated. Depending on parameter …
that the long time dynamics of these systems may be complicated. Depending on parameter …
On a Hamiltonian version of the Rikitake system
RM Tudoran, A Aron, Ş Nicoară - SIAM Journal on Applied Dynamical Systems, 2009 - SIAM
On a Hamiltonian Version of the Rikitake System Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM J. APPLIED DYNAMICAL SYSTEMS c 2009 …
reproduction of this article is prohibited. SIAM J. APPLIED DYNAMICAL SYSTEMS c 2009 …
Reducing nonlinear dynamical systems to canonical forms
L Brenig - … Transactions of the Royal Society A …, 2018 - royalsocietypublishing.org
A global framework for treating nonlinear differential dynamical systems is presented. It rests
on the fact that most systems can be transformed into the quasi-polynomial format. Any …
on the fact that most systems can be transformed into the quasi-polynomial format. Any …
Invariant algebraic surfaces of the Rikitake system
J Llibre, X Zhang - Journal of Physics A: Mathematical and …, 2000 - portalrecerca.uab.cat
In this paper we use the method of characteristic curves for solving linear partial differential
equations to study the invariant algebraic surfaces of the Rikitake system ẋ=-μx+ y (z+ β) ẏ …
equations to study the invariant algebraic surfaces of the Rikitake system ẋ=-μx+ y (z+ β) ẏ …
A RIKITAKE TYPE SYSTEM WITH ONE CONTROL.
T Bînzar, C Lăzureanu - Discrete & Continuous Dynamical …, 2013 - search.ebscohost.com
A RIKITAKE TYPE SYSTEM WITH ONE CONTROL Tudor Bınzar and Cristian Lazureanu (Communicated
by Yuan Lou) 1. Introduction. It is Page 1 DISCRETE AND CONTINUOUS doi:10.3934/dcdsb.2013.18.1755 …
by Yuan Lou) 1. Introduction. It is Page 1 DISCRETE AND CONTINUOUS doi:10.3934/dcdsb.2013.18.1755 …