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Second form of the generalized Hamilton-Jacobi method for nonholonomic dynamical systems

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Publication:1251910
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DOI10.1007/BF01589294zbMath0392.70019MaRDI QIDQ1251910

René van Dooren

Publication date: 1978

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)


zbMATH Keywords

Variational PrincipleGeneralized CoordinatesHamilton-Jacobi MethodNonholonomic Dynamical Systems


Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Hamilton-Jacobi equations in mechanics (70H20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30) Variational principles of physics (49S05)


Related Items

Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ A historical review on nonholomic mechanics ⋮ The Hamilton-Jacobi equation, integrability, and nonholonomic systems ⋮ Neue Aspekte der Feldtheorie



Cites Work

  • Motion of a rolling disk by a new generalized Hamilton-Jacobi method
  • The Generalized Hamilton‐Jacobi Method for Nonholonomic Dynamical Systems of Chetaev's Type
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