In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge equations, which are well known in the fields of molecular dynamics, chaotic theory and fluid mechanics, respectively. Our main results show that all these considered systems are, in fact, non-integrable in nearly all parameters
The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view ...
International audienceWe study a family of Hamiltonian systems which is a perturbation of the Caloge...
We study the integrability problem for evolution systems on phase spaces with a nonfiat metric. We s...
The search for partial differential systems in four independent variables ((3+1)D or 4D for short)...
This invaluable book examines qualitative and quantitative methods for nonlinear differential equati...
The basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with fo...
In this paper we present an approach towards the comprehensive analysis of the non-integrability of ...
In this thesis, we present a proof of the meromorphic non-integrability for some problems arising fr...
In a recent paper [Zhijun Qiao and Ruguang Zhou, Phys. Lett. A 235, 35 (1997)], the amazing fact was...
In this paper we are concerned with the integrability of the fifth Painlevé equation ( ) from the po...
The geometric approach to mechanics based on the Jacobi metric allows to easily construct natural me...
We consider a system obtained by coupling two Euler-Poinsot systems. The motivation to consider such...
We study the non integrability of the Friedmann-Robertson-Walker cosmological model, in continuation...
As an example of how to deal with nonintegrable systems, the nonlinear partial dif-ferential equatio...
AbstractWe establish a close relationship between hamiltonian systems of hydrodynamic type and hyper...
The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view ...
International audienceWe study a family of Hamiltonian systems which is a perturbation of the Caloge...
We study the integrability problem for evolution systems on phase spaces with a nonfiat metric. We s...
The search for partial differential systems in four independent variables ((3+1)D or 4D for short)...
This invaluable book examines qualitative and quantitative methods for nonlinear differential equati...
The basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with fo...
In this paper we present an approach towards the comprehensive analysis of the non-integrability of ...
In this thesis, we present a proof of the meromorphic non-integrability for some problems arising fr...
In a recent paper [Zhijun Qiao and Ruguang Zhou, Phys. Lett. A 235, 35 (1997)], the amazing fact was...
In this paper we are concerned with the integrability of the fifth Painlevé equation ( ) from the po...
The geometric approach to mechanics based on the Jacobi metric allows to easily construct natural me...
We consider a system obtained by coupling two Euler-Poinsot systems. The motivation to consider such...
We study the non integrability of the Friedmann-Robertson-Walker cosmological model, in continuation...
As an example of how to deal with nonintegrable systems, the nonlinear partial dif-ferential equatio...
AbstractWe establish a close relationship between hamiltonian systems of hydrodynamic type and hyper...
The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view ...
International audienceWe study a family of Hamiltonian systems which is a perturbation of the Caloge...
We study the integrability problem for evolution systems on phase spaces with a nonfiat metric. We s...
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