Results 261 to 270 of about 2,690,569 (319)
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Applied Mechanics Reviews, 1985
New discoveries have been made recently about the nature of complex motions in nonlinear dynamics. These new concepts are changing many of the ideas about dynamical systems in physics and in particular fluid and solid mechanics. One new phenomenon is the apparently random or chaotic output of deterministic systems with no random inputs.
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New discoveries have been made recently about the nature of complex motions in nonlinear dynamics. These new concepts are changing many of the ideas about dynamical systems in physics and in particular fluid and solid mechanics. One new phenomenon is the apparently random or chaotic output of deterministic systems with no random inputs.
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Nonlinear dynamics and nonlinear dynamical systems
2015The concept of Dynamics exists everywhere in our lives. As an integral component of daily reality, engineers and scientists research, analyze, and observe the behaviors of dynamics and dynamical systems and their application in our real world activities. As a general rule, dynamical systems are characterized by their nonlinear quality.
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Nonlinear Dynamic Systems: Uncoupled
2016It is actually quite common for oscillations to appear in natural and social systems — economic boom–bust cycles, ice ages, and the predator-prey dynamics of rabbits and foxes.How do we explain persistent, stable oscillations? Spirals in linear systems (Figure 5.6) have an oscillation tendency, but are either stable, converging to a point, or unstable ...
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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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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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Stability of extremum seeking feedback for general nonlinear dynamic systems
at - Automatisierungstechnik, 2000M. Krstić, Hsin-Hsiung Wang
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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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