Bounce trajectories with one Bounce point
Copyright policy )Bounce trajectories with one Bounce point
The author considers a mechanical system with a potential force in a connected bounded domain \(\Omega\) in \(\mathbb{R}^ n\) with \(C^ 2\)-smooth boundary. He obtains the condition under which for given points \(A,B\in \Omega\) and \(T>0\) there exists a trajectory \(\gamma\) of the system ``bouncing'' exactly one time from the boundary and such that \(\gamma(0)=A\) and \(\gamma(T)=B\).
- University of Pisa Italy
illumination problem, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, Lagrange mechanics, bounce trajectory, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
illumination problem, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, Lagrange mechanics, bounce trajectory, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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