Andere Kunden interessierten sich auch für
![Nonlinear Science at the Dawn of the 21st Century]( "Nonlinear Science at the Dawn of the 21st Century")
Nonlinear Science at the Dawn of the 21st Century77,99 €![Symmetries and Singularity Structures]( "Symmetries and Singularity Structures")
Symmetries and Singularity Structures79,99 €![Classical Dynamical Systems]( "Classical Dynamical Systems")
Classical Dynamical Systems39,99 €![Nonlinear Dynamics and Chaos: Advances and Perspectives]( "Nonlinear Dynamics and Chaos: Advances and Perspectives")
Nonlinear Dynamics and Chaos: Advances and Perspectives74,99 €![Collective Dynamics of Nonlinear and Disordered Systems]( "Collective Dynamics of Nonlinear and Disordered Systems")
Collective Dynamics of Nonlinear and Disordered Systems118,99 €![Nonlinear Dynamics and Chaos: Advances and Perspectives]( "Nonlinear Dynamics and Chaos: Advances and Perspectives")
Nonlinear Dynamics and Chaos: Advances and Perspectives74,99 €![Nonlinear Waves]( "Nonlinear Waves")
Nonlinear Waves77,99 €
This book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.
has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.
has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.