Título: Toward Analytical Chaos in Nonlinear Systems
Autor: Albert C. J. Luo
Sinopse: Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of analytical solutions of periodic motions in nonlinear dynamical systems. So the bifurcation trees of periodic motions to chaos cannot be achieved analytically. The author has developed an analytical technique that is more effective to achieve periodic motions and corresponding bifurcation trees to chaos analytically. Toward Analytical Chaos in Nonlinear Systems systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay. It covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and physics. From the analytical solutions, the routes from periodic motions to chaos are developed analytically rather than the incomplete numerical routes to chaos. The analytical techniques presented will provide a better understanding of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems. Key features: Presents the mathematical theory of analytical solutions of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems Covers nonlinear dynamical systems and nonlinear vibration systems Presents accurate, analytical solutions of stable and unstable periodic flows for popular nonlinear systems Includes two complete sample systems Discusses time-delayed, nonlinear systems and time-delayed, nonlinear vibrational systems Includes real world examples Toward Analytical Chaos in Nonlinear Systems is a comprehensive reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas.
Contexto da obra
Quando a classificação é mais ampla, o contexto do livro costuma depender ainda mais de autoria, tema e edição. “Toward Analytical Chaos in Nonlinear Systems”, de Albert C. J. Luo, publicado pela editora Wiley-Blackwell, em 2014 e com 268 páginas, integra a categoria Livros Variados. Por isso, autoria, edição e tema acabam tendo ainda mais peso na forma de apresentar o livro.
Editora: Wiley-Blackwell
Páginas: 268
Ano: 2014
Edição: 1
Linguagem: pt_BR
ISBN: 9781118658611
ISBN13: 9781118658611
Sobre a editora
Os livros da editora Wiley-Blackwell costumam apresentar uma abordagem aprofundada e especializada, com forte presença de obras acadêmicas e técnicas. A leitura frequentemente envolve temas complexos, como filosofia, ciências da vida, ciências sociais e tecnologia, com textos que combinam rigor conceitual e detalhamento prático. A experiência de leitura varia entre ensaios filosóficos densos e manuais ilustrados, com um tom que vai do didático ao crítico, sempre ancorado em discussões contemporâneas e interdisciplinaridade. O catálogo indica uma preferência por obras que dialogam com públicos acadêmicos e profissionais, que buscam tanto fundamentos teóricos quanto aplicações concretas em suas áreas.
