Results 141 to 150 of about 6,930 (179)

Rooks (Corvus frugilegus) can show spontaneous vocal flexibility when exposed to dynamically changing rhythmic sounds. [PDF]

Anim Cogn
Martin K, Tomasek M, Hivet A, Ravignani A, Obin N, Dufour V.   +5 more
europepmc   +1 more source

Humans can find rhythm in randomly timed sounds. [PDF]

R Soc Open Sci
van der Werff J, Tufarelli T, Verga L, Ravignani A.   +3 more
europepmc   +1 more source

Finding Hamiltonian isochronous centers by non-canonical transformations

, 2021
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Isochronous Centers in Planar Polynomial Systems

SIAM Journal on Mathematical Analysis, 1997
The authors consider the following planar system \[ \dot x = P(x,y),\quad \dot y = Q(x,y),\qquad (x,y)\in \mathbb{R}^2 \tag{1} \] where \(P\) and \(Q\) are polynomials in \(x\) and \(y\). Let the system (1) have a center, and let \(T\) be a period-function, i.e.
Christopher, C. J., Devlin, J.
openaire   +3 more sources

Centers and Isochronous Centers of Liénard Systems

Differential Equations, 2019
Holomorphic Liénard systems are studied. The authors give necessary and sufficient conditions for the existence of a center and an isochronous center which are obtained without calculating the focus quantities and the isochronicity constants.
Amel'kin, V. V., Rudenok, A. E.
openaire   +1 more source

Isochronicity of centers at a center manifold

AIP Conference Proceedings, 2012
For 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

Isochronous Centers and Isochronous Functions

Acta Mathematicae Applicatae Sinica, English Series, 2002
The author investigates the isochronous centers of two classes of planar systems of ordinary differential equations: 1) Liénard systems of the form \((\dot x)=y-F(x),(\dot y)=-g(x)\), 2) Hamiltonian systems of the form \((\dot x)=-g(y)\), \((\dot y)=f(x)\), with emphasis on the case when the functions \(g\) or \(f\) are isochronous. For the first class
openaire   +2 more sources

Periodic perturbations of an isochronous center

Qualitative Theory of Dynamical Systems, 2002
The author discusses the possibility of producing resonance in a nonlinear isochronous center. In some cases it is shown than one can find periodic forcings (with the same period of the center) such that the solutions of the perturbed equation are unbounded.
openaire   +2 more sources

Rational Liénard Systems with a Center and an Isochronous Center

Differential Equations, 2020
The following Liénard system \[ \Dot{x}=-y,\quad\Dot{y}=f(x)+yg(x)\tag{1} \] is considered with rational functions \(f\) and \(g\), where the functions \(f\) and \(g\) are linearly independent and holomorphic, and \(f(0)=g(0)=0\) and \(f'(0)=1\). Firstly, the definition of degree of an element \(g(x)/h(x)\) of the field \(k(x)\) and the definition of ...
openaire   +2 more sources

Generalized isochronous centers for complex systems

Acta Mathematica Sinica, English Series, 2010
The authors consider complex polynomial systems with complex time. Definitions of generalized isochronous centers and period constants are given, and an algorithm is obtained to compute generalized period constants. The method is applied to a class of real cubic Kolmogorov systems.
Wang, Qin Long, Liu, Yi Rong
openaire   +1 more source