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Anglický jazyk
Finite Dimensional Isochronous Nonlinear Oscillating Systems
Autor: A. Durga Devi
This book presents a study of isochronous properties associated with certain classes of Liénard type of equations including linear Liénard type equation, quadratic Liénard type equation, mixed quadratic linear Liénard type equation and their higher order... Viac o knihe
Na objednávku
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O knihe
This book presents a study of isochronous properties associated with certain classes of Liénard type of equations including linear Liénard type equation, quadratic Liénard type equation, mixed quadratic linear Liénard type equation and their higher order generalizations and identified the equations belonging to above mentioned equations exhibiting isochronous properties. The major issues considered in this book is to develop a systematic procedure for to identify the collective coordinate which is conjugate to the given Hamiltonian in order to generate isochronous systems. By generalizing this procedure for coupled systems in terms of Oi modified Hamiltonians and identified suitable canonically conjugate coordinates such that the constructed Oi modified Hamiltonian is nonsingular and the corresponding Newton's equation of motion is constraint free. Further, a class of N-coupled mixed quadratic linear Liénard type equations can also be identified with the help of a specific nonlocal transformation that possesses isochronous properties and studied their integrability properties.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2021
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786204212876
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