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Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
(2020-04-01)
We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov ...
DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2014)
Degenerate hope bifurcations in Chua's system
(2009-02-01)
In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the ...
DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2009-02-01)
In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the ...
Degenerate hope bifurcations in Chua's system
(2009-02-01)
In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the ...
DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2009-02-01)
In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the ...
Lyapunov-type inequalities for partial differential equations
(Academic Press Inc Elsevier Science, 2016-03)
In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in N-dimensional domains Ω. We also consider singular and degenerate elliptic problems with Ap coefficients involving ...
Campos de vetores suaves por partes: aspectos teóricos e aplicações
(Universidade Estadual Paulista (Unesp), 2020-01-22)
Nesta tese abordaremos aspectos qualitativos e dinâmicos de problemas envolvendo campos de vetores suaves por partes, também conhecidos como campos descontínuos. Primeiramente, apresentamos aplicações da teoria de campos ...
Characterizing chaotic melodies in automatic music composition
(AMER INST PHYSICS, 2010)
In this paper, we initially present an algorithm for automatic composition of melodies using chaotic dynamical systems. Afterward, we characterize chaotic music in a comprehensive way as comprising three perspectives: ...