Results 201 to 210 of about 4,749,604 (246)
Some of the next articles are maybe not open access.
Isochronicity of centers at a center manifold
AIP Conference Proceedings, 2012For a three dimensional system with a center manifold filled with closed trajectories (corresponding to periodic solutions of the system) we give criteria on the coefficients of the system to distinguish between the cases of isochronous and non-isochronous oscillations. Bifurcations of critical periods of the system are studied as well.
Brigita Ferčec, Matej Mencinger
openaire +1 more source
1995
In this chapter we analyse the behaviour of the nonlinear semiflow near a nonhyperbolic equilibrium; that is, we consider the situation where A does have spectrum on the imaginary axis. We use the decomposition of X as $$X\, = {X_ - } \oplus {X_0} \oplus {X_{ + \cdot }}$$
Odo Diekmann +3 more
openaire +1 more source
In this chapter we analyse the behaviour of the nonlinear semiflow near a nonhyperbolic equilibrium; that is, we consider the situation where A does have spectrum on the imaginary axis. We use the decomposition of X as $$X\, = {X_ - } \oplus {X_0} \oplus {X_{ + \cdot }}$$
Odo Diekmann +3 more
openaire +1 more source
Control Hopf Bifurcations Based on Center Manifold
Advanced Materials Research, 2011 The stabilization problem of nonlinear systems with Hopf bifurcations is studied in this paper. The link between a feedback law and a center manifold is obtained.
Xiu Shan Cai, Yun Shi Xiao, Geng Jun Zhu
exaly +2 more sources
Nonlinear Analysis: Theory, Methods & Applications, 1997
Let \(X\) be a Banach space. Consider the semiflow \(\Phi:X\to X\) with \(\Phi(x) =U(x)+ g(x)\), \(U\in L(X,X)\), \(g\in C^k(X,X)\), \(k\geq 1\), \(g(0)=0\).
openaire +2 more sources
Let \(X\) be a Banach space. Consider the semiflow \(\Phi:X\to X\) with \(\Phi(x) =U(x)+ g(x)\), \(U\in L(X,X)\), \(g\in C^k(X,X)\), \(k\geq 1\), \(g(0)=0\).
openaire +2 more sources
Theory of Invariant Manifold and Foliation and Uniqueness of Center Manifold Dynamics
Journal of Dynamics and Differential Equations, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
2013
A center manifold at a given nonhyperbolic equilibrium is an invariant manifold of a given differential equation that is tangent at the equilibrium point to the (generalized) eigenspace of the neutrally stable eigenvalues. Since the local dynamic behavior transverse to the center manifold is relatively simple, the potentially complicated asymptotic ...
Shangjiang Guo, Jianhong Wu
openaire +1 more source
A center manifold at a given nonhyperbolic equilibrium is an invariant manifold of a given differential equation that is tangent at the equilibrium point to the (generalized) eigenspace of the neutrally stable eigenvalues. Since the local dynamic behavior transverse to the center manifold is relatively simple, the potentially complicated asymptotic ...
Shangjiang Guo, Jianhong Wu
openaire +1 more source
Centers on center manifolds in the Lorenz, Chen and Lü systems
Communications in Nonlinear Science and Numerical Simulation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Algaba +3 more
openaire +3 more sources
Center Manifolds for Homoclinic Solutions
Journal of Dynamics and Differential Equations, 2000Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
openaire +2 more sources
1976
In this section we will start to carry out the program outlined in Section 1 by proving the center manifold theorem. The general invariant manifold theorem is given in Hirsch-Pugh-Shub [1]. Most of the essential ideas are also in Kelley [1] and a treatment with additional references is contained in Hartman [1]. However, we shall follow a proof given by
J. E. Marsden, M. McCracken
openaire +1 more source
In this section we will start to carry out the program outlined in Section 1 by proving the center manifold theorem. The general invariant manifold theorem is given in Hirsch-Pugh-Shub [1]. Most of the essential ideas are also in Kelley [1] and a treatment with additional references is contained in Hartman [1]. However, we shall follow a proof given by
J. E. Marsden, M. McCracken
openaire +1 more source
On the stability of the center manifold
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1987A new lemma in the theory of center manifolds is proved with the help of Gronwall's inequality. It means that as long as a trajectory of the dynamical system remains in a neighborhood of a singular point with given center manifold, it must be close to some trajectory on the mentioned manifold.
openaire +1 more source