Results 241 to 250 of about 699,942 (291)
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2007
The concepts and techniques developed by mathematicians, physicists, and engineers to characterize and predict the behavior of nonlinear dynamical systems are now being applied to a wide variety of biomedical problems. This chapter serves as an introduction to the central elements of the analysis of nonlinear dynamics systems.
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The concepts and techniques developed by mathematicians, physicists, and engineers to characterize and predict the behavior of nonlinear dynamical systems are now being applied to a wide variety of biomedical problems. This chapter serves as an introduction to the central elements of the analysis of nonlinear dynamics systems.
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Dynamics of Nonlinear Stochastic Systems
Journal of Mathematical Physics, 1961A method for treating nonlinear stochastic systems is described which it is hoped will be useful in both the quantum-mechanical many-body problem and the theory of turbulence. In this method the true problem is replaced by models that lead to closed equations for correlation functions and averaged Green's functions.
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Nonlinear Dynamics of Aeroelastic Systems
Nonlinear Dynamics of Shells and Plates, 2000Abstract Aeroelastic systems are those that involve the coupled interaction between a convecting fluid and a flexible elastic structure. The nonlinear dynamical response of such systems is of great current interest. Existing aircraft are known to encounter limit cycle oscillations (LCO) in certain flight regimes, and relatively simple ...
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Fault Estimation for Nonlinear Dynamic Systems
Circuits, Systems, and Signal Processing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Jiqing +4 more
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Nonlinear mixing dynamical systems
Reports on Mathematical Physics, 1986We consider finite-dimensional mixing-enhancing dynamical systems. Necessary and sufficient conditions for \(\dot x=f(t,x)\) to be a mixing system are given. On this basis we develop an effective criterion for the quadratic case.
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Nonlinear Dynamics for Communication Systems
1998Abstract : We have made significant research progress on several related aspects of our research grant during this period. (1) advanced the study of generalized chaotic synchronization schemes, (2) research on impulsive and practical impulsive control theories for chaotic systems, (3) exploring military applications of chaotic spread-spectrum ...
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Nonlinear Dynamic System Identification
2001This chapter gives an overview of the concepts for identification of nonlinear dynamic systems. Basic approaches and properties are discussed that are independent of the specific choice of the model architecture. Thus, this chapter is the foundation for both classical polynomial based and modern neural network and fuzzy based nonlinear dynamic models.
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Nonlinear Discrete Dynamical Systems
2001Most of the dynamics displayed by highly complicated nonlinear systems also appear for simple nonlinear systems. The reader is first introduced to the tent function, which is composed of two straight lines. The graphical method of iteration is introduced using this simple function since the constructions may be easily carried out with graph paper, rule,
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Controllability theorem for nonlinear dynamical systems
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2002The author studies sufficient conditions for the existence of an absolutely continuous function \(x:[0,T]\to\mathbb{R}^n\) and a measurable function (control) \(u: [0,T]\to\mathbb{R}^m\) solving a boundary-value problem \[ \dot{x}(t) = f(t,x,u),\quad ...
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Nonlinear Discrete Dynamical Systems
2012In this chapter, the basic concepts of nonlinear discrete systems will be presented. The local and global theory of stability and bifurcation for nonlinear discrete systems will be discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at fixed points under specific period will be presented.
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