Periodic orbits in the case of a zero eigenvalue

Petre Birtea; M. Puta; Răzvan M. Tudoran

DOI:10.1016/j.crma.2007.05.003
Corpus ID: 115165829

Periodic orbits in the case of a zero eigenvalue

@article{Birtea2007PeriodicOI,
  title={Periodic orbits in the case of a zero eigenvalue},
  author={Petre Birtea and Mircea Puta and Răzvan M. Tudoran},
  journal={arXiv: Dynamical Systems},
  year={2007}
}

Petre BirteaM. PutaRăzvan M. Tudoran
Published 16 May 2007
Mathematics
arXiv: Dynamical Systems

View PDF on arXiv

23 Citations

Background Citations

Methods Citations

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J. Appl. Math.
2013

The stability and dynamics of a linearized smooth version of the Chua system are analyzed using the Hamilton-Poisson formalism and this geometrical approach allows to deduce the nonlinear stabilization near different equilibria.

The Real-Valued Maxwell-Bloch Equations with Controls: From a Hamilton-Poisson System to a Chaotic One

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Int. J. Bifurc. Chaos
2017

This work obtains a Hamilton–Poisson system, a dissipative system with chaotic behavior, and a transitional system between the aforementioned states, which is a conservative system that has only one constant of motion.

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Mathematics
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Some dynamical and geometrical properties of Chen-Lee system from the Poisson geometry point of view are presented.

The dynamics of Rabinovich system

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Mathematics
2008

y Abstract. The paper presents some dynamical aspects of Rabinovich type. For the system (1.1) we have presented some Hamilton-Poisson re- alizations,a metriplectic structure, the system with…

Integrable Deformations and Dynamical Properties of Systems with Constant Population

C. Lăzureanu
Mathematics
Mathematics
2021

In this paper we consider systems of three autonomous first-order differential equations x˙=f(x),x=(x,y,z),f=(f1,f2,f3) such that x(t)+y(t)+z(t) is constant for all t. We present some…