Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems

Q. K. Ckori; Naseer Ahmed

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Q. K. Ckori, Naseer Ahmed. Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1988, 9(10): 879-892.

Citation:

Q. K. Ckori, Naseer Ahmed. Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1988, 9(10): 879-892.

Citation:

Q. K. Ckori, Naseer Ahmed. Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1988, 9(10): 879-892.

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Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems

Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan

Received Date: 1987-10-15
Publish Date: 1988-10-15

Abstract

Abstract

This paper uses Poincare formalism to obtain a generalization of the Hamilton-Jacobi method of integrating dynamical systems moving with nonlinear nonholonomic constraints. Necessary and sufficient conditions are investigated for the applicability of this method to such systems. The method is illustrated by considering some concrete examples of nonholonomic systems.

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References(8)

References

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