Geometric Dynamics

Udrişte, Constantin

doi:10.1007/978-94-011-4187-1

Cited by 41 publications

(46 citation statements)

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“…The ideas of this paper start from the papers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and from the conversations with D. Wang about the VlasovMaxwell-Boltzmann PDEs, carried at Siam Conference on Analysis of Partial Differential Equations, December…”

Section: Stokes Representations For the Solutions Of Maxwell-vlasov Pmentioning

confidence: 99%

“…In order to change this dynamical system into a geodezic motion under a gyroscopic field of forces on a double dimension space, we build the quadratic Hamiltonian [11][12]     …”

Section: Geodesic Motion In a Gyroscopic Field Of Forcesmentioning

confidence: 99%

“…The present paper studies the electro-magnetic dynamic systems from the perspective of optimal control theory (see also [5,11,18] …”

Section: E Lnmentioning

confidence: 99%

“…Section 1 presents the experimental devices which can produce a magnetic trap. Magnetic geometric dynamic provides mathematical tools for describing the magnetic flow (see [1][2][3][4][5][6][7] …”

Section: Introductionmentioning

confidence: 99%

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Stokes Representation for the Solutions of Maxwell-Vlasov

Pirvan¹,

Udrişte²

2011

JEMAA

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Section: Stokes Representations For the Solutions Of Maxwell-vlasov Pmentioning

confidence: 99%

Section: Geodesic Motion In a Gyroscopic Field Of Forcesmentioning

confidence: 99%

“…The present paper studies the electro-magnetic dynamic systems from the perspective of optimal control theory (see also [5,11,18] …”

Section: E Lnmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stokes Representation for the Solutions of Maxwell-Vlasov

Pirvan¹,

Udrişte²

2011

JEMAA

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“…In the case of the Dirac distribution-neoplasmic cell cycle, the initial dynamical SODE becomes subject to the following result, known as the Hopf bifurcation theorem [16].…”

Section: The Time-delayed Evolution Flowmentioning

confidence: 99%

Linear and structural stability of a cell divisionprocess model

Balan

Nicola

2006

International Journal of Mathematics and Mathematical Sciences

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The paper investigates the linear stability of mammalian physiology time-delayed flow for three distinct cases (normal cell cycle, a neoplasmic cell cycle, and multiple cell arrest states), for the Dirac, uniform, and exponential distributions. For the Dirac distribution case, it is shown that the model exhibits a Hopf bifurcation for certain values of the parameters involved in the system. As well, for these values, the structural stability of the SODE is studied, using the five KCC-invariants of the second-order canonical extension of the SODE, and all the cases prove to be Jacobi unstable.

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