nonlinear dynamical systems theory
A Mathematica Implementation of Nonlinear Dynamical Systems Theory via the Spider Algorithm and Finding Critical Zeros of High-Degree Polynomials »
... discrete dynamical systems are furnished here by studying the kneading theory developed by Milnor and Thurston, and subsequently implementing the spider algorithm, devel- oped by Hubbard and ...
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A New Weighted Graph Based Partitioning Algorithm for Decentralized Nonlinear Model Predictive Control of Large Scale Systems
... Large-scale dynamical systems provide new challenges and opportunities in control theory research ...Modern systems are developing both in size and complexity much more than before and hence ...
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Integral observability operators of nonlinear dynamical systems
... 3. Duality control problem. The results of Section 2 ensure that the inte- gral operators (1.3) provide complete information. Instead of operator links ϕ( · ) and k( · , · ) a convenient constructive equation is ...
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Vector dissipativity theory for discrete time large scale nonlinear dynamical systems
... large-scale nonlinear dynamical systems can significantly reduce the dimensionality of a control synthesis problem in terms of a number of states that need to be ...large-scale dynamical ...
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New Algorithms for Uncertainty Quantification and Nonlinear Estimation of Stochastic Dynamical Systems
... of nonlinear estimation, polynomial chaos has been applied by Blanchard et ...gPC theory for nonlinear dynamical systems, and estimation was performed using linear output equations and ...
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Absolutely New, Simple and Effective Theory of Movement Steadiness
... new theory, engineers now can for some minutes or hours to define the asymptotical stability of any nonlinear dynamical systems, while up to now this work required often many hours, weeks or ...
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Flows of stochastic dynamical systems : ergodic theory of stochastic flows
... So in the nonlinear case, we get some new terms in our expressions, but these new terms do not prevent the analysis from going through. In fact these terms are related to the curvature of M and can be expressed in ...
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Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping
... the theory of pullback attractors. Pullback attractor theory is a natural generaliza- tion of the theory of global attractors developed to study autonomous dynamical systems, and it is ...
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Adaptive control of nonlinear dynamical systems using a model reference approach
... of systems which exhibit nonlinear dynamical behavior, par- ticularly chaos, has been an active area of interest in recent years following the work of Ott, Grebogi, & Yorke ...approach, ...
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Solvability of Nonlinear Sequential Fractional Dynamical Systems with Damping
... calculus theory, one can see mono- graph ([4] [11]-[21]) and the references ...delay systems by using the well known fixed point ...control systems governed by semilinear parabolic equations with a ...
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Input estimation in nonlinear dynamical systems for drug discovery applications
... linear systems are considered, the resulting optimisation problem typically either has a closed-form solution, or can be efficiently solved using standard methods (Verotta ...contrast, nonlinear input ...
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An iterative approach to eigenvalue assignment for nonlinear systems
... for nonlinear dynamical systems in which the original nonlinear equation is replaced by a sequence of linear time-varying equations converging in the space of continuous functions to the ...
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Changes in the dynamical behavior of nonlinear systems induced by noise
... of nonlinear systems away from an equilibrium state, and transitions to a new state, in response to weak noise, that can be either of internal or of external origin, have long attracted the close attention ...
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The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*
... [10] D. Cheban, P. E. Kloeden and B. Schmalfuss, “The Rela- tionship between Pullback, Forwards and Global Attrac- tors of Nonautonomous Dynamical Systems,” Nonlinear Dynamics and Systems ...
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Modeling Nonlinear Dynamical Systems
... most dynamical systems which describe processes in engineering, physics and economics, stochastic components and random noise are ...of dynamical system are broadly categorized into three main areas ...
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Nonsemilinear one-dimensional PDEs: analysis of PT deformed models and numerical study of compactons
... between nonlinear con- vection and degenerate dispersion, travelling solutions with vanishing boundary conditions as x ∼ ±∞ necessarily have a compact support for all m ≥ 1 and n > ...of nonlinear basis ...
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Research Article Differentiability Properties of the Pre-Image Pressure
... topological dynamical system for short TDS, we mean a pair X, T where X is a com- pact metric space and T : X → X is a continuous surjection from X to ...topological dynamical systems, and ...
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Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory
... For solving the above problems we must know the matrix A in the case of a nonlinear system of equations and the matrix B in the case of nonlinear system of a nonlinear system of differential ...
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THE ARCHITECTURE OF A SCHOOL SYSTEM ACCORDING TO THE THEORY OF DYNAMICAL SYSTEMS
... a dynamical system is any system that evolves over time in a law-governed ...a dynamical system and so are dynamical systems its subsystems, for example, a human system or in our case a school ...
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Variable neural networks for adaptive control of nonlinear systems
... learning systems is to begin with a larger network and then to prune this [32], [36], or to begin with a smaller network and then to expand this [9], [42] until the optimal network complexity is ...autoregressive ...
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