Results 11 to 20 of about 15,100 (198)
Smooth linearization of nonautonomous coupled systems
Discrete and Continuous Dynamical Systems - B, 2023 In a joint work with Palmer we have formulated sufficient conditions under which there exist continuous and invertible transformations of the form $H_n(x,y)$ taking solutions of a coupled system \begin{equation*} x_{n+1} =A_nx_n+f_n(x_n, y_n), \quad y_{n+1}=g_n( y_n), \end{equation*} onto the solutions of the associated partially linearized uncoupled ...
Backes, Lucas, Dragičević, Davor
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Discrete Dynamics in Nature and Society, 2006 A nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses is investigated. For general nonautonomous case, positive invariance, permanence, and globally asymptotic stability for the system are studied.
Hai-Feng Huo, Wan-Tong Li
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On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem [PDF]
, 2019 The Yakubovich Frequency Theorem, in its periodic version and in its general nonautonomous extension, establishes conditions which are equivalent to the global solvability of a minimization problem of infinite horizon type, given by the integral in ...
Fabbri, Roberta +1 more
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Abstract and Applied Analysis, 2013 We use a double approximation technique to show existence result for a nonlocal and nonautonomous fragmentation dynamics occurring in a moving process.
E. F. Doungmo Goufo +1 more
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Advances in Difference Equations, 2017 We prove that the system θ ˙ ( t ) = Λ ( t ) θ ( t ) $\dot{\theta}(t) =\Lambda(t)\theta(t)$ , t ∈ R + $t\in\mathbb{R}_{+}$ , is Hyers-Ulam stable if and only if it is uniformly exponentially stable under certain conditions; we take the exact solutions of
Akbar Zada +3 more
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Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays
Discrete Dynamics in Nature and Society, 2011 A nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions.
Hongying Lu, Weiguo Wang
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Minimality properties of set-valued processes and their pullback attractors [PDF]
, 2014 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
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Weak tracking in nonautonomous chaotic systems [PDF]
Physical Review E, 2020 Previous studies have shown that rate-induced transitions can occur in pullback attractors of systems subject to "parameter shifts" between two asymptotically steady values of a system parameter. For cases where the attractors limit to equilibrium or periodic orbit in past and future limits of such an nonautonomous systems, these can occur as the ...
Hassan Alkhayuon, Peter Ashwin
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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]
, 2012 We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo +24 more
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Mathematics, 2019 A novel differentiator-based approximation-free output-feedback controller for uncertain nonautonomous nonlinear pure-feedback systems is proposed. Using high-order sliding mode observer, which is a finite-time exact differentiator, the time-derivatives ...
Jang-Hyun Park +2 more
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