Titlebook: Inverse Problems in Ordinary Differential Equations and Applications; Jaume Llibre,Rafael Ramírez Book 2016 Springer International Publish

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,Hilbert’s 16th Problem for Algebraic Limit Cycles,In this chapter we state Hilbert’s 16th problem restricted to algebraic limit cycles. Namely, consider the set Σ.. of all real polynomial vector fields . of degree . having real irreducible . invariant algebraic curves.

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悠然

财产

Polynomial Vector Fields with Given Partial and First Integrals,lved. To reduce this arbitrariness we need additional conditions. In this chapter we are mainly interested in the planar polynomial differential systems which have a given set of invariant algebraic curves.

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Inverse Problem for Constrained Lagrangian Systems,es of freedom the most general field of forces depending only on the positions and satisfying a given set of constraints with are linear in the velocities. This statement of the inverse problem for constrained Lagrangian systems is new.

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率直

Inverse Problems in Ordinary Differential Equations and Applications

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Book 2016constrained rigid body. Finally the authors conclude with an analysis on nonholonomic mechanics, a generalization of the Hamiltonian principle, and the statement an solution of the inverse problem in vakonomic mechanics..

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