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. Order - chaos transitions in field theories with topological terms: a dynamical systems approach

    C Mukku et al 1997 J. Phys. A: Math. Gen. 30 3003

  3. Progress on stochastic background search codes for LIGO

    John T Whelan et al 2002 Class. Quantum Grav. 19 1521

  4. Global constants in (2+1)-dimensional gravity

    J E Nelson 2004 Class. Quantum Grav. 21 S249

  5. A New Determination of the Helium Vapour Pressure Scales Using a CMN Magnetic Thermometer and the NPL-75 Gas Thermometer Scale

    R L Rusby and C A Swenson 1980 Metrologia 16 73

  6. Bethe's contributions to atomic and molecular physics

    Mitio Inokuti and Benjamin Bederson 2006 Phys. Scr. 73 C98

  7. Quantum resonances and decoherence for δ-kicked atoms

    Sandro Wimberger et al 2003 Nonlinearity 16 1381

  8. Non-orthogonal separable coordinate systems for the flat 4-space Helmholtz equation

    E G Kalnins 1979 J. Phys. A: Math. Gen. 12 1129

  9. On H-volatility in financial mathematics

    S V Pastukhov 2003 Russ. Math. Surv. 58 187

  10. Externally triggered gating of nuclear medicine acquisitions: a useful method for partitioning data

    Dale L Bailey and Antonis Kalemis 2005 Phys. Med. Biol. 50 N55

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.