Quick search Find article
Quick search
Find article

Quadratic volume-preserving maps

Héctor E Lomelí and James D Meiss

Show affiliations


Recommended by L P Shil'nikov

We study quadratic, volume-preserving diffeomorphisms whose inverse is also quadratic. Such maps generalize the Hénon area-preserving map and the family of symplectic quadratic maps studied by Moser. In particular, we investigate a family of quadratic volume-preserving maps in three-space for which we find a normal form and study invariant sets. We also give an alternative proof of a theorem by Moser classifying quadratic symplectic maps.


PACS

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

02.10.De Algebraic structures and number theory

MSC

37D45 Strange attractors, chaotic dynamics

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 3 (May 1998)

Received 30 May 1997, in final form 20 January 1998



  1. Quadratic volume-preserving maps

    Héctor E Lomelí and James D Meiss 1998 Nonlinearity 11 557

  2. How projections affect the dimension spectrum of fractal measures

    Brian R Hunt and Vadim Yu Kaloshin 1997 Nonlinearity 10 1031

  3. A silenced air pressure control valve

    P Bradshaw 1964 J. Sci. Instrum. 41 692

  4. Ultra-high vacuum system

    J A Turner et al 1962 J. Sci. Instrum. 39 26

  5. Apparatus for the rapid measurement of Seebeck coefficient

    M Fraser 1962 J. Sci. Instrum. 39 227

  6. The Cascade Impactor: An Instrument for Sampling Coarse Aerosols

    K R May 1945 J. Sci. Instrum. 22 187

  7. Convective beam ion losses due to Alfvén eigenmodes in DIII-D reversed-shear plasmas

    D C Pace et al 2011 Plasma Phys. Control. Fusion 53 062001

  8. Edge turbulence measurements in toroidal fusion devices

    S J Zweben et al 2007 Plasma Phys. Control. Fusion 49 S1

  9. Statistical properties of electrostatic turbulence in toroidal magnetized plasmas

    B Labit et al 2007 Plasma Phys. Control. Fusion 49 B281

  10. Variational principles and Lyapunov stability analysis for compressible cylindrical plasma flows with arbitrary cross-section

    A H Khater and S M Moawad 2003 Plasma Phys. Control. Fusion 45 265

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.