We examine the behaviour of typical orbits in the Harper map, a quasiperiodically driven skew-product dynamical system in two dimensions. When the map is critical, namely when all Lyapunov exponents vanish, the dynamics is parabolic
The dynamics of two coupled twist maps with weak dissipation is studied. The calculation of Lyapunov...
Critical exponents that describe a transition from integrability to non-integrability in a two-dimen...
We discuss the effect of weak dissipation on the system with Arnold diffusion which consists of two co...
The almost periodic eigenvalue problem described by the Harper equation is connected to other classe...
We study a driven quasiperiodic skew-product dynamical mapping in which orbits with all Lyapunov exp...
We study the local dynamics of generic skew-products tangent to the identity, i.e. maps of the form ...
The effects and consequences of dissipation in the scaling exponents describing the behaviour of ave...
A phase transition from integrability to nonintegrability in two-dimensional Hamiltonian mappings is...
Critical transitions occur in a variety of dynamical systems. Here we employ quantifiers of chaos to...
A multitude of physical, chemical, or biological systems evolving in discrete time can be modelled a...
Some scaling properties for chaotic orbits in a family of two-dimensional Hamiltonian mappings are s...
The dynamics of a quasiperiodic map is analysed both in the presence and in the absence of weak nois...
The transition from integrability to nonintegrability for a set of two-dimensional Hamiltonian mappi...
The dynamics and limit set of a discrete-time system is described which is similar to the horseshoe ...
The thermodynamic formalism is applied to dynamical attractors which have fractal geometry and on wh...
The dynamics of two coupled twist maps with weak dissipation is studied. The calculation of Lyapunov...
Critical exponents that describe a transition from integrability to non-integrability in a two-dimen...
We discuss the effect of weak dissipation on the system with Arnold diffusion which consists of two co...
The almost periodic eigenvalue problem described by the Harper equation is connected to other classe...
We study a driven quasiperiodic skew-product dynamical mapping in which orbits with all Lyapunov exp...
We study the local dynamics of generic skew-products tangent to the identity, i.e. maps of the form ...
The effects and consequences of dissipation in the scaling exponents describing the behaviour of ave...
A phase transition from integrability to nonintegrability in two-dimensional Hamiltonian mappings is...
Critical transitions occur in a variety of dynamical systems. Here we employ quantifiers of chaos to...
A multitude of physical, chemical, or biological systems evolving in discrete time can be modelled a...
Some scaling properties for chaotic orbits in a family of two-dimensional Hamiltonian mappings are s...
The dynamics of a quasiperiodic map is analysed both in the presence and in the absence of weak nois...
The transition from integrability to nonintegrability for a set of two-dimensional Hamiltonian mappi...
The dynamics and limit set of a discrete-time system is described which is similar to the horseshoe ...
The thermodynamic formalism is applied to dynamical attractors which have fractal geometry and on wh...
The dynamics of two coupled twist maps with weak dissipation is studied. The calculation of Lyapunov...
Critical exponents that describe a transition from integrability to non-integrability in a two-dimen...
We discuss the effect of weak dissipation on the system with Arnold diffusion which consists of two co...