Normal forms, symmetry and linearization of dynamical systems [PDF]
Journal of Physics A, 1998 19 pages, no ...
Dario Bambusi +2 more
exaly +6 more sources
Further Reductions of Normal Forms for Dynamical Systems
Journal of Differential Equations, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoting Chen
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Systematic derivation of amplitude equations and normal forms for dynamical systems
Chaos, 1998 We present a systematic approach to deriving normal forms and related amplitude equations for flows and discrete dynamics on the center manifold of a dynamical system at local bifurcations and unfoldings of these. We derive a general, explicit recurrence relation that completely determines the amplitude equation and the associated transformation from ...
Ipsen, M. +2 more
exaly +5 more sources
Formal equivalence between normal forms of reversible and hamiltonian dynamical systems
Communications on Pure and Applied Analysis, 2014 We show the existence of formal equivalences between reversible and Hamiltonian vector fields. The main tool we employ is the normal form theory.
Ricardo Miranda Martins
exaly +4 more sources
Symmetries of dynamical systems and convergent normal forms [PDF]
Journal of Physics A, 1995 It is shown that, under suitable conditions, involving in particular the existence of analytic constants of motion, the presence of Lie point symmetries can ensure the convergence of the transformation taking a vector field (or dynamical system) into normal ...
exaly +5 more sources
Dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The subject of this work is the study of local dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings. From a discrete model describing the dynamics of a great number of coupled oscillators, a transition has been
Kashchenko, Sergej Aleksandrovich
doaj +1 more source
Geometry and integrability of quadratic systems with invariant hyperbolas
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira +2 more
doaj +1 more source
Bursting Dynamics in a Singular Vector Field with Codimension Three Triple Zero Bifurcation
Mathematics, 2023 As a kind of dynamical system with a particular nonlinear structure, a multi-time scale nonlinear system is one of the essential directions of the current development of nonlinear dynamics theory.
Weipeng Lyu +3 more
doaj +1 more source
Bifurcations of dynamical systems with sliding: derivation of normal-form mappings [PDF]
Physica D: Nonlinear Phenomena, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DI BERNARDO, MARIO +2 more
openaire +3 more sources
Nonlinear Modal Decoupling of Multi-Oscillator Systems With Applications to Power Systems
IEEE Access, 2018 Many natural and manmade dynamical systems that are modeled as large nonlinear multi-oscillator systems like power systems are hard to analyze. For such systems, we propose a nonlinear modal decoupling (NMD) approach inversely constructing as many ...
Bin Wang, Kai Sun, Wei Kang
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