Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. I : Ordinary Differential Equations : General and Mathematical Physics

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概要

• 論文の詳細を見る

• The linear problems in Hilbert space arising in the study of symmetries and first integrals for nonlinear systems of ordinary differential equations are introduced. The boson Hilbert space representation of Lie algebras of vector fields and invariants for dynamical systems are discussed.

• 理論物理学刊行会の論文
• 1991-04-25

著者

• Kowalski K

  Department Of Applied Mathematics And Nonlinear Studies Rand Afrikaans University

• Steeb W.-h.

  Department Of Applied Mathematics Aud Nonlinear Studies Rand Afrikaans University

• Steeb W.-h.

  Department Of Applied Mathematics And Nonlinear Studies Rand Afrikaans University

• KOWALSKI K.

  Department of Applied Mathematics and Nonlinear Studies, Rand Afrikaans University

• STEEB W.-H.

  Department of Physics, Rand Afrikaans University

• Steeb W.-H.

  Department of Applied Mathematical and Nonlinear Studies,Rand Afrikaans University

関連論文

• Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. I : Ordinary Differential Equations : General and Mathematical Physics
• Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. II : Partial Differential Equations : General and Mathematical Physics
• Soliton Equations, Commutativity Condition and Painleve Property : Condensed Matter and Statistical Physics
• Conservation Laws, Resonances and Painleve Test
• A Note on Nambu Mechanics and the Painleve Test
• Lax Formulation, Painleve Property and Recursion Operator for a Space-Dependent Burgers' Equation
• Lie and Lie Backlund Vector Fields and Painleve Test for a Class of Scale Invariant Partial Differential Equations of First Order
• Coupled Chaotic Oscillators
• Generalization of Energy Level Motion

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