Add to ORKGNowadays a lot of interest in Systems Theory is directed to problems in which separate systems are coupled to each other. We study the dynamics of a population of uniformly all-to-all coupled limit cycle oscillators. The oscillators are permitted to possess different natural frequencies. Our greatest interest goes out to the synchronization of such populations consisting of finitely many oscillators. This synchronized behaviour is only present if the strength of the interactions supersedes some threshold value. We try to obtain some stability properties of this behaviour
Noise-induced escape from a metastable potential is considered on time-scales preceding the formatio...
Self-organized criticality is an elegant explanation of how complex structures emerge and persist th...
Physical phenomena accompanying destruction processes of technical systems are nonlinear and “low-en...
Nowadays a lot of interest in Systems Theory is directed to problems in which separate systems are c...
AbstractWe consider the control problem for a population dynamics model with age dependence, spatial...
AbstractWe study solutions of the Cauchy problem for a supercritical semilinear parabolic equation w...
AbstractThe global stability of a discrete population model of Volterra type is studied. The model i...
Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-moment...
Noise-induced transitions between coexisting stable states of a periodically driven nonlinear oscill...
In this paper, we study perturbations of the $d$-dimensional Ising model for $d\geq 2$, including lo...
AbstractWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Kel...
AbstractWe examine a one-dimensional steady-state diffusion model for a biological population in whi...
This thesis deals with the dynamics of systems coupled to an environment. We review the symmetries o...
International audienceA characteristic pattern with sequences of alternating quiescent ('down') and ...
AbstractIn this paper, we study the existence of periodic solutions for classical Hamiltonian system...
Noise-induced escape from a metastable potential is considered on time-scales preceding the formatio...
Self-organized criticality is an elegant explanation of how complex structures emerge and persist th...
Physical phenomena accompanying destruction processes of technical systems are nonlinear and “low-en...
Nowadays a lot of interest in Systems Theory is directed to problems in which separate systems are c...
AbstractWe consider the control problem for a population dynamics model with age dependence, spatial...
AbstractWe study solutions of the Cauchy problem for a supercritical semilinear parabolic equation w...
AbstractThe global stability of a discrete population model of Volterra type is studied. The model i...
Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-moment...
Noise-induced transitions between coexisting stable states of a periodically driven nonlinear oscill...
In this paper, we study perturbations of the $d$-dimensional Ising model for $d\geq 2$, including lo...
AbstractWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Kel...
AbstractWe examine a one-dimensional steady-state diffusion model for a biological population in whi...
This thesis deals with the dynamics of systems coupled to an environment. We review the symmetries o...
International audienceA characteristic pattern with sequences of alternating quiescent ('down') and ...
AbstractIn this paper, we study the existence of periodic solutions for classical Hamiltonian system...
Noise-induced escape from a metastable potential is considered on time-scales preceding the formatio...
Self-organized criticality is an elegant explanation of how complex structures emerge and persist th...
Physical phenomena accompanying destruction processes of technical systems are nonlinear and “low-en...