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Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems

Song Zheng (2016)

Kybernetika

In this paper the issue of impulsive stabilization and synchronization of uncertain financial hyperchaotic systems with parameters perturbation is investigated. Applying the impulsive control theory, some less conservative and easily verified criteria for the stabilization and synchronization of financial hyperchaotic systems are derived. The control gains and impulsive intervals can be variable. Moreover, the boundaries of the stable region are also estimated according to the equidistant impulse...

Inertial manifolds for nonautonomous dynamical systems and for nonautonomous evolution equations

Koksch, Norbert, Siegmund, Stefan (2002)

Equadiff 10

Instability of solutions of certain nonlinear vector differential equations of third order.

Tunç, Ercan (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities

Martin Väth (2014)

Mathematica Bohemica

We consider a reaction-diffusion system of activator-inhibitor type which is subject to Turing's diffusion-driven instability. It is shown that unilateral obstacles of various type for the inhibitor, modeled by variational inequalities, lead to instability of the trivial solution in a parameter domain where it would be stable otherwise. The result is based on a previous joint work with I.-S. Kim, but a refinement of the underlying theoretical tool is developed. Moreover, a different regime of parameters...

Instability results for certain third order nonlinear vector differential equations.

Tunc, Cemil, Tunc, Ercan (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone.

Khusainov, D.Ya., Diblík, J., Svoboda, Z., Šmarda, Z. (2011)

Abstract and Applied Analysis

Integral equations and exponential trichotomy of skew-product flows.

Sasu, Adina Luminiţa, Sasu, Bogdan (2011)

Advances in Difference Equations [electronic only]

Integral equations with contrasting kernels.

Burton, T.A. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Integral Manifolds and Bounded Solutions of Singularly Perturbed Systems of Impulsive Differential Equations

Stamov, Gani (1998)

Serdica Mathematical Journal

Sufficient conditions for the existence of bounded solutions of singularly perturbed impulsive differential equations are obtained. For this purpose integral manifolds are used.

Integral Manifolds and Perturbations of the Nonlinear Part of Systems of Autonomous Differential Equations with Impulses at Fixed Moments

Stamov, G. (1995)

Serdica Mathematical Journal

* This investigation was supported by the Bulgarian Ministry of Science and Education under Grant MM-7.Sufficient conditions are obtained for the existence of local integral manifolds of autonomous systems of differential equations with impulses at fixed moments. In case of perturbations of the nonlinear part an estimate of the difference between the manifolds is obtained.

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