Add to ORKGAbstract: Hamiltonian system with two degrees of freedom is considered, in which fast and slow variables can be distinguished. The averaging method is applied to study of slow variables’ evolution. Stochastic behavior of the system is indicated.Note: Research direction:Theoretical and applied problems of mechanic
AbstractIn this paper, we consider fluctuations between certain stochastic ordinary differential sys...
This paper is a review of the dynamics of a system of planets. It includes the study of averaged equ...
An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets t...
International audienceExploring the global dynamics of a planetary system involves computing integra...
202 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.The importance of resonances ...
Dynamical Systems Theory (DST) serves as a means to understand and describe the changes that occur o...
The present thesis describes four complex dynamical systems. In each system, the long-term behavior...
The Galilean satellites’ dynamics has been studied extensively during the last century. In the past ...
Aims. We clarify the response of extrasolar planetary systems in a 2:1 mean motion commensurability...
This paper focuses on two-planet systems in a first-order (q + 1): q mean motion resonance and under...
Statistics of relaxations are investigated in a Hamiltonian system which has second order phase tran...
Averaging over fast phases reduces study of stability of quasi-periodic and periodic trajectories to...
AbstractWe consider the bifurcation of periodic orbits from an equilibrium in Hamiltonian systems. T...
The recently developed method (Paper 1) enabling one to investigate the evolution of dynamical syste...
The orbits of planet-crossing asteroids (and comets) can undergo close approaches and collisions wi...
AbstractIn this paper, we consider fluctuations between certain stochastic ordinary differential sys...
This paper is a review of the dynamics of a system of planets. It includes the study of averaged equ...
An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets t...
International audienceExploring the global dynamics of a planetary system involves computing integra...
202 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.The importance of resonances ...
Dynamical Systems Theory (DST) serves as a means to understand and describe the changes that occur o...
The present thesis describes four complex dynamical systems. In each system, the long-term behavior...
The Galilean satellites’ dynamics has been studied extensively during the last century. In the past ...
Aims. We clarify the response of extrasolar planetary systems in a 2:1 mean motion commensurability...
This paper focuses on two-planet systems in a first-order (q + 1): q mean motion resonance and under...
Statistics of relaxations are investigated in a Hamiltonian system which has second order phase tran...
Averaging over fast phases reduces study of stability of quasi-periodic and periodic trajectories to...
AbstractWe consider the bifurcation of periodic orbits from an equilibrium in Hamiltonian systems. T...
The recently developed method (Paper 1) enabling one to investigate the evolution of dynamical syste...
The orbits of planet-crossing asteroids (and comets) can undergo close approaches and collisions wi...
AbstractIn this paper, we consider fluctuations between certain stochastic ordinary differential sys...
This paper is a review of the dynamics of a system of planets. It includes the study of averaged equ...
An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets t...