Nonlinear Dynamics and Complexity
Springer International Publishing (Verlag)
978-3-319-34933-6 (ISBN)
This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.
Valentin Afraimovich is a Professor at San Luis Potosi University. Albert C. J. Luo is a Professor at Southern Illinois University, Edwardsville. Xilin Fu is a Professor at Shandong Normal University.
From Long Range Order to Complex Networks, an Hamiltonian Dynamics Perspective.- Time-Varying Linearization: Perron Effects of Lyapunov Exponent Sign Inversion, Stability and Instability by the First Approximation.- Fractional Maps as Maps with Memory.- Complex Period- Motion in a Periodically Forced, Quadratic Nonlinear Oscillator.- Map-Based Approach to Problems of Spiking Neural Network Dynamics.- Adaptive Landscape with Singularity in Biological Processes.- Multiscale Scaffolding of Real World Data.- Treasure Hunting in Virtual Environments. Scaling Laws of Human Virtual Motions and Mathematical Models of Human Actions in Uncertainty.- Vibrational Resonance in Time-Delayed Nonlinear Systems.- Experimental Studies of Noise Effects in Nonlinear Oscillators.
Erscheinungsdatum | 02.09.2016 |
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Reihe/Serie | Nonlinear Systems and Complexity |
Zusatzinfo | VIII, 292 p. 117 illus., 42 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
Naturwissenschaften ► Physik / Astronomie ► Optik | |
Technik | |
Schlagworte | Applied mathematics • Bio-network Dynamics • Complexity • complex networks • Complex Systems • Cybernetics and systems theory • Dynamics and statics • Engineering • Hamiltonian systems • Nonlinear Dynamics • Nonlinear Science • Time-delay Systems • Uncertainty in Nonlinear Systems |
ISBN-10 | 3-319-34933-3 / 3319349333 |
ISBN-13 | 978-3-319-34933-6 / 9783319349336 |
Zustand | Neuware |
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