Regularity and Complexity in Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regularity and Complexity in Dynamical Systems write by Albert C. J. Luo. This book was released on 2013-07-12. Regularity and Complexity in Dynamical Systems available in PDF, EPUB and Kindle. Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.
Regularity and Stochasticity of Nonlinear Dynamical Systems
Regularity and Stochasticity of Nonlinear Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regularity and Stochasticity of Nonlinear Dynamical Systems write by Dimitri Volchenkov. This book was released on 2017-06-24. Regularity and Stochasticity of Nonlinear Dynamical Systems available in PDF, EPUB and Kindle. This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty.
Discrete and Switching Dynamical Systems
Discrete and Switching Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete and Switching Dynamical Systems write by Albert C J Luo. This book was released on 2011-12-01. Discrete and Switching Dynamical Systems available in PDF, EPUB and Kindle. Discrete and Switching Dynamical Systems is a unique book about stability and its switching complexity in discrete dynamical systems, and provides a simple and concise view of the theory of stability and bifurcation in nonlinear discrete dynamical systems. Linear discrete systems with repeated eigenvalues are presented as an introduction. Higher-order singularity, stability and bifurcations in nonlinear discrete dynamical systems are presented. Several examples are presented to illustrate chaos fractality and complete dynamics of nonlinear discrete dynamical systems. Switching systems with transports are discussed comprehensively as a general fashion to present continuous and discrete mixed systems, and mapping dynamics, grazing phenomena and strange attractor fragmentation are also presented for a better understanding of regularity and complexity in discrete, switching and discontinuous dynamical systems. This book is written as a textbook or reference book for university students, professors and researchers in applied mathematics, physics, engineering, economics dynamics and finance. Albert C.J. Luo is an internationally recognized professor in nonlinear dynamics and mechanics. He worked at Southern Illinois University Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian chaos, nonlinear mechanics, and discontinuous dynamical systems. A different view of stability and bifurcations in discrete dynamical systemsHigher order singularity, stability switching complexity and bifurcationsChaos fractality and complete dynamicsHow to construct mappings from physical systemsMapping dynamics, grazing invariance and strange attractor fragmentationUser friendly presentation and intuitive illustrationsWide audience due to instructive and comprehensive examples
Mathematics of Complexity and Dynamical Systems
Mathematics of Complexity and Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Complexity and Dynamical Systems write by . This book was released on 2012. Mathematics of Complexity and Dynamical Systems available in PDF, EPUB and Kindle.
Discretization and Implicit Mapping Dynamics
Discretization and Implicit Mapping Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discretization and Implicit Mapping Dynamics write by Albert C. J. Luo. This book was released on 2015-07-30. Discretization and Implicit Mapping Dynamics available in PDF, EPUB and Kindle. This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.
