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  1. No Access

    Article

    Uniformity in the orbit structure of a 3-dimensional vector field induced by first integrals and symmetry vectors

    Some methods, based on the use of first integrals and symmetries, are given implying that the orbit structure of certain 3-dimensional systems is uniform over certain open and bounded regions.

    F. González-Gascón in Il Nuovo Cimento B (1971-1996) (1996)

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    A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents

    It is noted that the Yoshida criterion, contending that the existence of a non-rational Kowalevski exponent implies non-integrability (in the algebraic sense), has not been proved forn>2.

    F. González-Gascón in Celestial mechanics (1988)

  3. No Access

    Article

    Another method for the obtention of first integrals of dynamical systems

    A computational procedure is developed leading to the obtention of first integrals of a dynamical systemX under the assumption thatX belongs to a certain involutive distributionD and that an external symmetrySofD

    F. González-Gascón, A. González-López in Lettere al Nuovo Cimento (1971-1985) (1984)

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    Article

    On the reduction of vector fields by means of invariant structures

    Other mechanisms, not considered in a recent paper, permitting to enlarge a given set of tensor fields invariant under a dynamical system are given.

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1982)

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    Article

    First integrals and symmetries associated to invariant tensors and applications to lax-like vector fields

    The techniques followed in previous papers are applied to vector fields X with a set of related tensor fields invariant under X. The techniques are potentially able to provide first integrals and new symmetry ...

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1982)

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    Article

    The inverse problem concerning the local first integral divS

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1982)

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    Article

    On a new first integral of certain dynamical systems and its applications to recent results concerning first integrals of newtonian systems

    F. González-Gascón, E. Rodriguez-Camino in Lettere al Nuovo Cimento (1971-1985) (1980)

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    Article

    Some results and open problems concerning symmetries, first integrals and limit cycles of dynamical systems

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1980)

  9. No Access

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    Differential forms and invariant sets of dynamical systems

    F. González-Gascón, E. Rodriguez-Camino in Lettere al Nuovo Cimento (1971-1985) (1980)

  10. No Access

    Article

    Symmetries and differential equations

    F. González Gascón in Lettere al Nuovo Cimento (1971-1985) (1980)

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    Article

    New results and open problems concerning the obtention of first integrals and pseudosymmetries of dynamical systems

    F. González-Gascón, E. Rodriguez-Camino in Lettere al Nuovo Cimento (1971-1985) (1980)

  12. No Access

    Article

    On a certain kind of invariant sets of dynamical systems

    F. González-gascón, E. Eodriguez-Camino in Lettere al Nuovo Cimento (1971-1985) (1980)

  13. No Access

    Article

    On the axoids of a moving rigid body

    F. González-Gascón, E. Rodriguez-camino in Lettere al Nuovo Cimento (1971-1985) (1980)

  14. No Access

    Article

    Geometrical obtention and generalization of recent results concerning symmetries and first integrals

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1979)

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    Article

    New criteria on the existence of stable-limit cycles

    F. González-Gascón, A. Kumpera in Lettere al Nuovo Cimento (1971-1985) (1978)

  16. No Access

    Article

    Geometrical obtention and generalization of recent results concerning the relation between limit cycles and symmetries of smooth vector fields

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1978)

  17. No Access

    Article

    Negative results concerning more than one singular speed in special relativity

    It is shown that the group hypothesis is not compatible with the existence of transformations containing more than one singularity. The relevance of the first parameter group is stressed.

    F. González-Gascón in Il Nuovo Cimento B (1971-1996) (1978)

  18. No Access

    Article

    Geometrical foundations and results on a problem suggested in a paper by Andersonet al.

    F. González-Gascón, F. Moreno-Insertis… in Lettere al Nuovo Cimento (1971-1985) (1978)

  19. No Access

    Article

    Two global first integrals of certain dynamical systems

    F. González-Gascón in Lettere al Nuovo Cimento (1971-1985) (1978)

  20. No Access

    Article

    Symmetries, first integrals and splittability of dynamical systems

    F. González-Gascón, F. Moreno-Insertis in Lettere al Nuovo Cimento (1971-1985) (1978)

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