Special Issue: Nonlinear Dynamics and Complexity
Title | Special Issue: Nonlinear Dynamics and Complexity PDF eBook |
Author | Juan L. G. Guirao |
Publisher | |
Pages | |
Release | 2016 |
Genre | |
ISBN |
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors
Title | Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors PDF eBook |
Author | Christos Volos |
Publisher | MDPI |
Pages | 290 |
Release | 2019-05-03 |
Genre | Technology & Engineering |
ISBN | 3038978981 |
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.
Nonlinear Dynamics and Complexity
Title | Nonlinear Dynamics and Complexity PDF eBook |
Author | Valentin Afraimovich |
Publisher | Springer Science & Business Media |
Pages | 297 |
Release | 2013-11-22 |
Genre | Technology & Engineering |
ISBN | 3319023535 |
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.
Reviews of Nonlinear Dynamics and Complexity
Title | Reviews of Nonlinear Dynamics and Complexity PDF eBook |
Author | Heinz Georg Schuster |
Publisher | John Wiley & Sons |
Pages | 234 |
Release | 2008-06-09 |
Genre | Science |
ISBN | 9783527407293 |
Adopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions represent the latest and most relevant findings. The resulting review enables both researchers and newcomers in life science, physics, and chemistry to access the most important results in this field, using a common language.
Special Triple Issue: Complex Nonlinear Dynamics and Computational Methods
Title | Special Triple Issue: Complex Nonlinear Dynamics and Computational Methods PDF eBook |
Author | W. Davis Dechert |
Publisher | |
Pages | 494 |
Release | 2000 |
Genre | |
ISBN |
Recent Trends In Chaotic, Nonlinear And Complex Dynamics
Title | Recent Trends In Chaotic, Nonlinear And Complex Dynamics PDF eBook |
Author | Jan Awrejcewicz |
Publisher | World Scientific |
Pages | 561 |
Release | 2021-07-26 |
Genre | Science |
ISBN | 981122191X |
In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.
Nonlinear Dynamics and Chaos
Title | Nonlinear Dynamics and Chaos PDF eBook |
Author | Steven H. Strogatz |
Publisher | CRC Press |
Pages | 532 |
Release | 2018-05-04 |
Genre | Mathematics |
ISBN | 0429961111 |
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.