Results 31 to 40 of about 408 (129)
Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits [PDF]
, 2018 We study a semilinear differential-algebraic equation (DAE) with the focus on the Lagrange stability (instability). The conditions for the existence and uniqueness of global solutions (a solution exists on an infinite interval) of the Cauchy problem, as ...
Filipkovska, Maria
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Analysis of chaotic and hyperchaotic conservative complex nonlinear systems
, 2017 The aim of this paper is to introduce and analyze chaotic and hyperchaotic conservative complex nonlinear systems. These systems appear in several branches of applied sciences.
M. Gamal, Ahmed K. Mansour
semanticscholar +1 more source
On the optimality of double‐bracket flows
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 62, Page 3301-3319, 2004., 2004 We analyze the optimality of the stable fixed point of the double‐bracket equations. We introduce different types of optimality and prove local and global optimality results with respect to the Schatten p‐norms.
Anthony M. Bloch, Arieh Iserles
wiley +1 more source
Variationally stable dynamic systems on time scales
Advances in Differential Equations, 2012 In this paper we give a Lyapunov functional characterization of h-stability for nonlinear dynamic systems on time scales under the condition of u∞-similarity between their variational systems.
S. Choi, Yinhua Cui, Namjip Koo
semanticscholar +2 more sources
Boundary Value Problems, 2013 Under Neumann or Dirichlet boundary conditions, the stability of a class of delayed impulsive Markovian jumping stochastic fuzzy p-Laplace partial differential equations (PDEs) is considered.
R. Rao, Zhilin Pu
semanticscholar +1 more source
An equivalence theorem concerning population growth in a variable environment
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2747-2758, 2003., 2003 We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t) = 1 as t → ∞. This conclusion is important for two reasons: it shows that the long‐time behavior of the population is independent of the initial condition and it applies to ecological systems in which the coefficients are time dependent.
Ray Redheffer, Richard R. Vance
wiley +1 more source
Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure [PDF]
, 2016 Agraïments: The second author is partially supported by Dirección de Investigación DIUBB 1204084/R.A ratio-dependent predator-prey model with stage structure for prey was investigated in [8].
Llibre, Jaume, Vidal, Claudio
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Advances in Differential Equations, 2013 Discrete analogues of continuous-time neural models are of great importance in numerical simulations and practical implementations. In the current paper, a discrete model of continuous-time neural networks with variable coefficients and multiple delays ...
Hui Xu, R. Wu
semanticscholar +2 more sources
Open Mathematics, 2016 A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde +2 more
doaj +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
wiley +1 more source