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36 papers · 1 filter
Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium
R. E. Lee DeVille, Cyrill B. Muratov, Eric Vanden-Eijnden
A general mechanism is proposed by which small intrinsic fluctuations in a system far from equilibrium can result in nearly deterministic dynamical behaviors which are markedly dis…
Fractional dynamics of coupled oscillators with long-range interaction
Vasily E. Tarasov, George M. Zaslavsky
We consider one-dimensional chain of coupled linear and nonlinear oscillators with long-range power-wise interaction. The corresponding term in dynamical equations is proportional…
Symplectic rigidity, symplectic fixed points and global perturbations of Hamiltonian systems
Dragomir Dragnev
In this paper we study a generalized symplectic fixed point problem, first considered by J. Moser in \cite{M}, from the point of view of some relatively recently discovered symplec…
Nonlinear Fractional Dynamics on a Lattice with Long Range Interactions
N. Laskin, G. Zaslavsky
A unified approach has been developed to study nonlinear dynamics of a 1D lattice of particles with long-range power-law interaction. A classical case is treated in the framework o…
Filling invariants at infinity and the Euclidean rank of Hadamard spaces
Stefan Wenger
In this paper we study a homological version of the higher-dimensional divergence invariants defined by Brady and Farb. We show that they are quasi-isometry invariants in the class…
A Lagrangian Piunikhin-Salamon-Schwarz morphism and two comparison homomorphisms in Floer homology
Peter Albers
In this article we address two issues. First, we explore to what extent the techniques of Piunikhin, Salamon and Schwarz in [PSS96] can be carried over to Lagrangian Floer homology…