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  1. No Access

    Article

    Homogeneous Weyl connections of non-positive curvature

    We study homogeneous Weyl connections with non-positive sectional curvatures. The Cartesian product \({\mathbb S}^1 \times M\) ...

    Gabriela Tereszkiewicz, Maciej P. Wojtkowski in Annals of Global Analysis and Geometry (2017)

  2. No Access

    Article

    Gaussian Thermostats as Geodesic Flows of Nonsymmetric Linear Connections

    We establish that Gaussian thermostats are geodesic flows of special metric connections. We give sufficient conditions for hyperbolicity of geodesic flows of metric connections in terms of their curvature and ...

    Piotr Przytycki, Maciej P. Wojtkowski in Communications in Mathematical Physics (2008)

  3. No Access

    Article

    Design of Hyperbolic Billiards

    We formulate a general framework for the construction of hyperbolic billiards. Spherical symmetry is exploited for a simple treatment of billiards with spherical caps and soft billiards in higher dimensions. O...

    Maciej P. Wojtkowski in Communications in Mathematical Physics (2007)

  4. No Access

    Article

    Conformally Symplectic Dynamics and Symmetry of the Lyapunov Spectrum

    A generalization of the Hamiltonian formalism is studied and the symmetry of the Lyapunov spectrum established for the resulting systems. The formalism is applied to the Gausssian isokinetic dynamics of intera...

    Maciej P. Wojtkowski, Carlangelo Liverani in Communications in Mathematical Physics (1998)

  5. No Access

    Chapter

    Ergodicity in Hamiltonian Systems

    We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with (nonuniform) hyperbolic behavior.

    Carlangelo Liverani, Maciej P. Wojtkowski in Dynamics Reported (1995)

  6. No Access

    Chapter and Conference Paper

    Linear Stability of a Periodic Orbit in the System of Falling Balls

    We study linear stability of a periodic orbit in the hamiltonian system with many degrees of freedom introduced in [W1].

    Jian Cheng, Maciej P. Wojtkowski in The Geometry of Hamiltonian Systems (1991)

  7. No Access

    Chapter and Conference Paper

    Systems of classical interacting particles with nonvanishing Lyapunov exponents

    We present a unified approach to the only two systems of many interacting particles for which nonvanishing of (some) Lyapunov exponents was established in all of the phase space

    Maciej P. Wojtkowski in Lyapunov Exponents (1991)

  8. No Access

    Article

    Linearly stable orbits in 3 dimensional billiards

    We construct linearly stable periodic orbits in a class of billiard systems in 3 dimensional domains with boundaries containing semispheres arbitrarily far apart. It shows that the results about planar billiar...

    Maciej P. Wojtkowski in Communications in Mathematical Physics (1990)

  9. No Access

    Article

    The system of one dimensional balls in an external field. II

    We modify the system introduced in [W1] so that we can establish the nonvanishing ofall Lyapunov exponents easily.

    Maciej P. Wojtkowski in Communications in Mathematical Physics (1990)

  10. No Access

    Article

    A system of one dimensional balls with gravity

    We introduce a Hamiltonian system with many degrees of freedom for which the nonvanishing of (some) Lyapunov exponents almost everywhere can be established analytically.

    Maciej P. Wojtkowski in Communications in Mathematical Physics (1990)