AbstractIn this paper, we show how to study the evolution of a complex system, given imprecise knowledge about the state of the system and the dynamics laws. It will be shown that dynamics of these systems is equivalent to Lagrangian (or Hamiltonian) mechanics in a n+1-dimensional space, where n is a system’s dimensionality. In some cases, however, the corresponding Lagrangian is more general than the usual one and could depend on the action. In this case, Lagrange’s equations gain a non-zero right side proportional to the derivative of the Lagrangian with respect to the action. Examples of such systems are unstable systems, systems with dissipation and systems which can remember their history. Moreover, in certain situations, the Lagrangia...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [19...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [1...
AbstractThis paper deals with the foundations of analytical dynamics. It obtains the explicit equati...
AbstractIn this paper, we show how to study the evolution of a complex system, given imprecise knowl...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
In this paper, Lagrangian Coherent Structures are presented as the extensions of stable and un-stabl...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
We approach the problem of automatically modeling a mechanical system from data about its dynamics, ...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [1...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [19...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [1...
AbstractThis paper deals with the foundations of analytical dynamics. It obtains the explicit equati...
AbstractIn this paper, we show how to study the evolution of a complex system, given imprecise knowl...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
112 pagesMost physical systems are modelled by an ordinary or a partial differential equation, like ...
In this paper, Lagrangian Coherent Structures are presented as the extensions of stable and un-stabl...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
We approach the problem of automatically modeling a mechanical system from data about its dynamics, ...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [1...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [19...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [1...
AbstractThis paper deals with the foundations of analytical dynamics. It obtains the explicit equati...