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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 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 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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Dynamics and bifurcations of fuzzy nonlinear dynamical systems
Fuzzy Sets and Systems, 2017This paper investigates the bifurcation of fuzzy solutions to nonlinear fuzzy dynamical systems obtained by applying the extension principle of Zadeh. The authors define the concept of fuzzy bifurcation value following the standard approach used in the analysis of dynamical systems for more general metric spaces and further define concepts from ...
Marina T. Mizukoshi +1 more
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Nonlinearity and computation: implementing logic as a nonlinear dynamical system
Physics Letters A, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prusha, Bryan S., Lindner, John F.
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Nonlinear control of Hammerstein systems with passive nonlinear dynamics
IEEE Transactions on Automatic Control, 2001Summary: A nonlinear dynamic compensator framework for Hammerstein systems with passive nonlinear dynamics is proposed. For this class of systems, controlled by passive nonlinear dynamic compensators, we prove global closed-loop stability by modifying the dynamic compensator to include a suitable input nonlinearity. The proof of this result is based on
Wassim M. Haddad 0001 +1 more
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Fault Accommodation for Nonlinear Dynamic Systems
IEEE Transactions on Automatic Control, 2006This note investigates process fault accommodation in a class of nonlinear continuous-time systems. A new fault estimation module, based on an adaptive estimator, is first proposed. The fault tolerant controller is constructed to compensate for the effect of the faults by stabilizing the closed-loop system.
Bin Jiang 0001 +2 more
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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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An Expert System for the Identification of Nonlinear Dynamical Systems
2006This paper describes an Expert System that can detect and quantify the nonlinearity present in a given dynamical system and, subsequently, determine and apply the most suitable nonlinear system identification method. The internal workings, algorithms and decision making processes of the Expert System are discussed. For demonstration purposes the Expert
Dimitriadis, Grigorios +2 more
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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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