Results 41 to 50 of about 1,659 (115)
Experimental Study of the Sampled Labyrinth Chaos [PDF]
, 2011 In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes
Gotthans, T., Petrzela, J.
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Floquet Stability Analysis of Ott-Grebogi-Yorke and Difference Control [PDF]
, 2008 Stabilization of instable periodic orbits of nonlinear dynamical systems has been a widely explored field theoretically and in applications. The techniques can be grouped in time-continuous control schemes based on Pyragas, and the two Poincar\'e-based ...
Claussen, Jens Christian
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IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.The work delivers a rigorous mathematical framework for asymptotic tracking in nonlinear systems that explicitly include control‐input derivatives, actuator dynamics, and input saturation, with Lyapunov‐based proofs establishing convergence and robustness under their coupled effects.
Mohammad Reza Homaeinezhad +5 more
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IET Signal Processing, Volume 2026, Issue 1, 2026.Formation control of multi‐autonomous underwater vehicle (AUV) systems is essential for collaborative ocean tasks such as environmental monitoring and resource exploration, but it is hindered by challenges like limited flexibility in formation transformation, model uncertainties, and unknown ocean current disturbances.
Fan Luan +3 more
wiley +1 more source
Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source
Algebras of singular integral operators with piecewise continuous coefficients on weighted Nakano spaces [PDF]
, 2006 We find Fredholm criteria and a formula for the index of an arbitrary operator in the Banach algebra of singular integral operators with piecewise continuous coefficients on Nakano spaces (generalized Lebesgue spaces with variable exponent) with ...
Karlovich, Alexei Yu.
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(2+1)-Dimensional Quantum Gravity as the Continuum Limit of Causal Dynamical Triangulations
, 2007 We perform a non-perturbative sum over geometries in a (2+1)-dimensional quantum gravity model given in terms of Causal Dynamical Triangulations. Inspired by the concept of triangulations of product type introduced previously, we impose an additional ...
A. Crisanti +10 more
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The legacy of the Cartwright–Littlewood collaboration
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract Mary L. Cartwright and John E. Littlewood published a short “preliminary survey” in 1945 describing results of their investigation of the forced van der Pol equation ÿ−k(1−y2)ẏ+y=bλkcos(λt+a)$$\begin{equation*} \ddot{y}-k(1-y^2)\dot{y}+y = b \lambda k \cos (\lambda t+a) \end{equation*}$$in which b,λ,k,a$b,\lambda,k,a$ are parameters with k$k$
John Guckenheimer
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Families of piecewise linear maps with constant Lyapunov exponent
, 2012 We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Lyapunov exponent and the topological entropy remain constant.
Botella-Soler, V. +3 more
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Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas
, 2003 It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a Hamiltonian ...
A. Crisanti +17 more
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