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The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
The non-autonomous chiral model he Ernst equation the bidifferential calculus framework
2011/7/28
Abstract: We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable...
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems
Higher-order systems Lagrangian and Hamiltonian formalisms Symplectic and presymplectic manifolds
2011/7/26
Abstract: The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomo...
Efficiency of autonomous soft nano-machines at maximum power
Efficiency of autonomous soft nano-machines maximum power
2010/11/22
We consider nano-sized artificial or biological machines working in steady state enforced by imposing non-equilibrium concentrations of solutes or by applying external forces, torques or electric fiel...
Finite-time synchronization of non-autonomous chaotic systems with unknown parameters
non-autonomous chaotic systems unknown parameters
2010/4/7
Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknow...