Nonlinear Complex System I
Description
This book compiles new developments in nonlinear dynamics, chaos theory, and complex systems analysis across physics, engineering, and applied mathematics. It provides theoretical frameworks and analytical methods for understanding, predicting, and controlling complex behaviors in natural and engineered systems. Key subspecialties include chaos control, bifurcation theory, vibro-impact oscillators, energy harvesting, fractional-order dynamics, and information-theoretic approaches. The collection bridges theory with practical applications through rigorous mathematical formulations and numerical illustrations, offering tools for researchers and practitioners in engineering, physics, biology, and data science.
More details
Persons
Prof. Dimitri Volchenkov sits in the Department of Mathematics and Statistics, Texas Tech University, Texas, USA; Prof. Siyuan Xing sits in the Department of Mechanical Engineering, California Polytechnic State University, San Luis Obispo, CA, USA; Prof. Jianzhe Huang sits in the Department of Aerospace Information and Control, Shanghai Jiaotong University, China; and Prof. Yeyin Xu sits in the School of Astronautics and Aeronautics, Xi'an Jiaotong University, China.
Content
Exploring Partial Control of Transient Chaos Using Safety Functions.- Connecting the Dots: Homoclinic bifurcations, Spike-adding, and Funnel attractors in Rossler System.- Heteroclinic connections of linear discontinuous differential equation with slowly varying coefficients.- Analytical Solutions of Periodic Motions in an Impact Duffing Oscillator.- Periodic-3 Motions in Nonlinear Piezoelectric Energy Harvester.