13 citations · 30 across the 12 of their papers we have counts for
7 papers · 1 filter
A new measure of instability and topological entropy of area-preserving twist diffeomorphisms
Sinisa Slijepcevic
We introduce a new measure of instability of area-preserving twist diffeomorphisms, which generalizes the notions of angle of splitting of separatrices, and flux through a gap of a…
Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion
Sinisa Slijepcevic
We develop a variational method for constructing positive entropy invariant measures of Lagrangian systems without assuming transversal intersections of stable and unstable manifol…
The transport speed and optimal work in pulsating Frenkel-Kontorova models
Braslav Rabar, Siniša Slijepčević
We consider a generalized one-dimensional chain in a periodic potential (the Frenkel-Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport whe…
Stability of synchronization in dissipatively driven Frenkel-Kontorova models
Sinisa Slijepcevic
We rigorously show that dissipatively driven Frenkel-Kontorova models with either uniform or time-periodic driving asymptotically synchronize for a wide range of initial conditions…
The energy flow of dissipative systems on infinite lattices
Sinisa Slijepcevic
We study the energy flow of dissipative dynamics on infinite lattices, allowing the total energy to be infinite and considering formally gradient dynamics. We show that in spatial…
Characterization of hyperbolicity and generalized shadowing lemma
Davor Dragicevic, Sinisa Slijepcevic
J. Mather characterized uniform hyperbolicity of a discrete dynamical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangen…
Stability of invariant measures
Sinisa Slijepcevic
We generalize various notions of stability of invariant sets of dynamical systems to invariant measures, by defining a topology on the set of measures. The defined topology is simi…