Results 191 to 200 of about 61,664 (222)

LIMIT PERIOD FORMULA FOR SPECIAL CYCLES ON REAL HYPERBOLIC SPACES (Automorphic representations, automorphic $L$-functions and arithmetic)

open access: yesLIMIT PERIOD FORMULA FOR SPECIAL CYCLES ON REAL HYPERBOLIC SPACES (Automorphic representations, automorphic $L$-functions and arithmetic)
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Bifurcations of subharmonic solutions in periodic perturbation of a hyperbolic limit cycle

Applied Mathematics and Mechanics, 2002
Consider the planar periodically perturbed system \[ \dot x= f(x)+ \varepsilon g(t,x,\varepsilon,\delta),\quad x\in\mathbb{R}^2,\tag{1} \] where \(\varepsilon\in \mathbb{R}\), \(\delta\in \mathbb{R}^n\), \(f\) and \(g\) are \(C^3\)-functions and \(g\) is \(T\)-periodic in \(t\).
Han, Maoan, Gu, Shengshi
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Limit cycle bifurcations near a generalized homoclinic loop in piecewise smooth systems with a hyperbolic saddle on a switch line

Applied Mathematics and Computation, 2014
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Wei, Lijun, Liang, Feng, Lu, Shiping
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Polynomial differential systems with hyperbolic limit cycles

Journal of Geometry and Physics, 2023
One of the main problems of the qualitative theory of the planar differential equations is the study their limit cycles. In this paper given an algebraic curve of degree n we characterize the planar polynomial differential systems of degree greater or equal than n which admit the ovals of the algebraic curve as hyperbolic limit cycles.
Llibre, Jaume, Valls, Clàudia
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Stable Hyperbolic Limit Cycles for a Class of Differential Systems

Russian Mathematics, 2021
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Hamizi, S. E., Boukoucha, R.
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Multiplicities of limit cycles appearing after perturbations of hyperbolic polycycles

Sbornik: Mathematics, 2023
The problem of the multiplicity of limit cycles appearing after a perturbation of a hyperbolic polycycle with generic set of characteristic numbers is considered. In particular, it is proved that the multiplicity of any limit cycle appearing after a perturbation in a smooth finite-parameter family does not exceed the number of separatrix connections ...
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A Limit Cycle in Plane Hyperbolic Curve Theory

Geometriae Dedicata, 2001
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The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity

Nonlinear Analysis: Theory, Methods & Applications, 2009
The paper gives a new criterion for the existence of at most two limit cycles for some families of planar vector fields. Its main hypothesis is given in terms of the monotonicity of one stability operator along the solutions of a suitable transversal vector field. This result is also applied to give a uniqueness of limit cycles result as well as to the
A. Guillamon, Sabatini, Marco
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